Relevant bibliographies by topics / Concentration inequalities

Academic literature on the topic 'Concentration inequalities'

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Published: 4 June 2021
Last updated: 1 June 2024

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Journal articles on the topic "Concentration inequalities"

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Chung, Fan, and Linyuan Lu. "Concentration Inequalities and Martingale Inequalities: A Survey." Internet Mathematics 3, no. 1 (January 2006): 79–127. http://dx.doi.org/10.1080/15427951.2006.10129115.

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Sadeghi, Ghadir, and Mohammad Sal Moslehian. "Noncommutative martingale concentration inequalities." Illinois Journal of Mathematics 58, no. 2 (2014): 561–75. http://dx.doi.org/10.1215/ijm/1436275498.

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Ding, Ying. "Wasserstein-Divergence transportation inequalities and polynomial concentration inequalities." Statistics & Probability Letters 94 (November 2014): 77–85. http://dx.doi.org/10.1016/j.spl.2014.07.013.

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Chen, Huiming Zhang &. Song Xi. "Concentration Inequalities for Statistical Inference." Communications in Mathematical Research 37, no. 1 (June 2021): 1–85. http://dx.doi.org/10.4208/cmr.2020-0041.

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Vershynin, Roman. "Concentration inequalities for random tensors." Bernoulli 26, no. 4 (November 2020): 3139–62. http://dx.doi.org/10.3150/20-bej1218.

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Bhat, M. Ashraf, and G. Sankara Raju Kosuru. "Generalizations of some concentration inequalities." Statistics & Probability Letters 182 (March 2022): 109298. http://dx.doi.org/10.1016/j.spl.2021.109298.

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PAPAGEORGIOU, IOANNIS. "CONCENTRATION INEQUALITIES FOR GIBBS MEASURES." Infinite Dimensional Analysis, Quantum Probability and Related Topics 14, no. 01 (March 2011): 79–104. http://dx.doi.org/10.1142/s0219025711004316.

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We are interested in Sobolev type inequalities and their relationship with concentration properties on higher dimensions. We consider unbounded spin systems on the d-dimensional lattice with interactions that increase slower than a quadratic. At first we assume that the one-site measure satisfies a modified log-Sobolev inequality with a constant uniformly on the boundary conditions and we determine conditions so that the infinite-dimensional Gibbs measure satisfies a concentration as well as a Talagrand type inequality, similar to the ones obtained by Barthe and Roberto6 for the product measure. Then a modified log-Sobolev type concentration property is obtained under weaker conditions referring to the log-Sobolev inequalities for the boundary free measure.
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Chatterjee, Sourav. "Stein’s method for concentration inequalities." Probability Theory and Related Fields 138, no. 1-2 (October 19, 2006): 305–21. http://dx.doi.org/10.1007/s00440-006-0029-y.

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Aoun, Richard, Marwa Banna, and Pierre Youssef. "Matrix Poincaré inequalities and concentration." Advances in Mathematics 371 (September 2020): 107251. http://dx.doi.org/10.1016/j.aim.2020.107251.

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Tropp, Joel A. "Second-order matrix concentration inequalities." Applied and Computational Harmonic Analysis 44, no. 3 (May 2018): 700–736. http://dx.doi.org/10.1016/j.acha.2016.07.005.

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Dissertations / Theses on the topic "Concentration inequalities"

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Sammer, Marcus D. "Aspects of mass transportation in discrete concentration inequalities." Diss., Georgia Institute of Technology, 2005. http://etd.gatech.edu/theses/available/etd-04112005-163457/unrestricted/sammer%5Fmarcus%5Fd%5F200505%5Fphd.pdf.

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Thesis (Ph. D.)--Georgia Institute of Technology, 2005.
Includes bibliographical references (p. 108-110). Also available online via the Georgia Institute of Technology, website (http://etd.gatech.edu/).
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Tiep, Pham H., and Van H. Vu. "Non-abelian Littlewood–Offord inequalities." ACADEMIC PRESS INC ELSEVIER SCIENCE, 2016. http://hdl.handle.net/10150/621530.

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In 1943, Littlewood and Offord proved the first anti-concentration result for sums of independent random variables. Their result has since then been strengthened and generalised by generations of researchers, with applications in several areas of mathematics. In this paper, we present the first non-abelian analogue of the Littlewood Offord result, a sharp anti-concentration inequality for products of independent random variables. (C) 2016 Elsevier Inc. All rights reserved.
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Barthe, F., and barthe@math univ-mlv fr. "Levels of Concentration Between Exponential and Gaussian." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi1008.ps.

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Mercadier, Mathieu. "Banking risk indicators, machine learning and one-sided concentration inequalities." Thesis, Limoges, 2020. http://aurore.unilim.fr/theses/nxfile/default/a5bdd121-a1a2-434e-b7f9-598508c52104/blobholder:0/2020LIMO0001.pdf.

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Cette thèse de doctorat comprend trois essais portant sur la mise en œuvre, et le cas échéant l'amélioration, de mesures de risques financiers et l'évaluation des risques bancaires, basée sur des méthodes issues de l'apprentissage machine. Le premier chapitre élabore une formule élémentaire, appelée E2C, d'estimation des primes de risque de crédit inspirée de CreditGrades, et en améliore la précision avec un algorithme de forêts d'arbres décisionnels. Nos résultats soulignent le rôle prépondérant tenu par cet estimateur et l'apport additionnel de la notation financière et de la taille de l'entreprise considérée. Le deuxième chapitre infère une version unilatérale de l'inégalité bornant la probabilité d'une variable aléatoire distribuée unimodalement. Nos résultats montrent que l'hypothèse d'unimodalité des rendements d'actions est généralement admissible, nous permettant ainsi d'affiner les bornes de mesures de risques individuels, de commenter les implications pour des multiplicateurs de risques extrêmes, et d'en déduire des versions simplifiées des bornes de mesures de risques systémiques. Le troisième chapitre fournit un outil d'aide à la décision regroupant les banques cotées par niveau de risque en s'appuyant sur une version ajustée de l'algorithme des k-moyennes. Ce processus entièrement automatisé s'appuie sur un très large univers d'indicateurs de risques individuels et systémiques synthétisés en un sous-ensemble de facteurs représentatifs. Les résultats obtenus sont agrégés par pays et région, offrant la possibilité d'étudier des zones de fragilité. Ils soulignent l'importance d'accorder une attention particulière à l'impact ambigu de la taille des banques sur les mesures de risques systémiques
This doctoral thesis is a collection of three essays aiming to implement, and if necessary to improve, financial risk measures and to assess banking risks, using machine learning methods. The first chapter offers an elementary formula inspired by CreditGrades, called E2C, estimating CDS spreads, whose accuracy is improved by a random forest algorithm. Our results emphasize the E2C's key role and the additional contribution of a specific company's debt rating and size. The second chapter infers a one-sided version of the inequality bounding the probability of a unimodal random variable. Our results show that the unimodal assumption for stock returns is generally accepted, allowing us to refine individual risk measures' bounds, to discuss implications for tail risk multipliers, and to infer simple versions of bounds of systemic measures. The third chapter provides a decision support tool clustering listed banks depending on their riskiness using an adjusted version of the k-means algorithm. This entirely automatic process is based on a very large set of stand-alone and systemic risk indicators reduced to representative factors. The obtained results are aggregated per country and region, offering the opportunity to study zones of fragility. They underline the importance of paying a particular attention to the ambiguous impact of banks' size on systemic measures
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Moles, Jordan. "On concentration inequalities for equilibrium states in lattice and symbolic dynamical systems." Thesis, Institut polytechnique de Paris, 2020. http://www.theses.fr/2020IPPAX102.

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Cette étude traite de l'existence de concentration Gaussienne pour des états d'équilibre suffisamment mélangeant sur réseau. De plus, nous montrons qu'une telle condition assure l'unicité de ceux-ci.Dans le premier chapitre, nous montrons que si un état d'équilibre associé à un potentiel invariant par décalage et absolument sommable satisfait la concentration Gaussienne alors il est à fortiori mélangeant et unique i.e. il ne peut y avoir transition de phase.Par la suite, nous étudions numériquement un modèle physique particulier autorisant une transition de phase à savoir le modèle d'Ising ferromagnétique en dimension deux. Nous évaluons les constantes de la concentration grâce à la simulation d'observables classiques à toute température. Grâce au comportement de ces paramètres, nous mettons spécialement en lumière la divergence de la constante de concentration Gaussienne à la température critique et nous en déduisons qu'une telle propriété ne peut exister.Puis, nous prouvons que l'existence de la concentration Gaussienne est satisfaite pour toute température supérieure à la température critique pour ce modèle.Ensuite, nous étudions un système dynamique symbolique unidimensionnel sur un alphabet fini: les chaînes à liaisons complètes. Nous étudions en particulier les propriétés de concentration de l'unique état d'équilibre associé à un potentiel (ou probabilité de transition) satisfaisant la condition de Walters.Enfin, nous traitons le régime de haut bruit pour des automates cellulaires probabilistes. Nous prouvons notamment que dans ce régime, ils satisfont la concentration Gaussienne pour une certaine classe d'observables spatio-temporelles
This thesis deals with the existence of Gaussian concentration for sufficiently mixing equilibrium states for lattice systems. Moreover, we show that such a property ensures uniqueness.In the first chapter, we show that if an equilibrium state associated to a shift-invariant and absolutely summable potential satisfies a Gaussian concentration bound then it is à fortiori mixing and unique em i.e. there is no phase transition.Thereafter, We study numerically a particular physical model which allows phase transition to occur: the ferromagnetic Ising model in two dimensions. We evaluate concentration constants through classical estimates at all temperature. Thank to the behavior of these parameters, we emphasize divergence of the Gaussian concentration constant at the critical temperature deduce that such property doesn't hold.Later on, we prove that the Gaussian concentration behavior holds for all temperature above the critical one for this model.Then, we dedicate a chapter to the study of an unidimensional symbolic dynamics on a finite alphabet: chains with complete connections. In particular, we study the concentration properties of a unique equilibrium state associated to a potential (or transition probability) satisfying Walters' condition.In the end, we review the high-noise regime in probabilistic cellular automata. In particular, we prove that in this regime, the probabilistic cellular automata satisfies a Gaussian concentration for a certain class of spatio-temporal observables
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Altemeier, Daniel [Verfasser], and Barbara [Akademischer Betreuer] Gentz. "Concentration Inequalities for Nonautonomous Stochastic Delay Differential Equations / Daniel Altemeier ; Betreuer: Barbara Gentz." Bielefeld : Universitätsbibliothek Bielefeld, 2017. http://d-nb.info/1150182024/34.

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Lucas, Leonard Joseph Ortiz Michael Ortiz Michael. "Uncertainty quantification using concentration-of-measure inequalities /cLeonard J. Lucas ; Michael Ortiz, committee chair and advisor." Diss., Pasadena, Calif. : California Institute of Technology, 2009. http://resolver.caltech.edu/CaltechETD:etd-05292009-165215.

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Tsawe, Mluleki. "Inequalities in the use of maternal and reproductive health services in Sierra Leone." University of the Western Cape, 2019. http://hdl.handle.net/11394/6660.

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Philosophiae Doctor - PhD
This thesis extends the literature on the trends and magnitude of health inequalities in the area of maternal and reproductive health services in Sierra Leone, and particular across sub-Saharan Africa. It attempted to provide a good understanding of, not only the determinants of maternal and reproductive healthcare use, but also factors that enable health inequalities to exist in Sierra Leone. This is an appropriate topic in population health studies as it aims to address important questions on the research agenda in the context of sub-Saharan Africa, particularly in a country with poor health outcomes such as Sierra Leone. A proper understanding of not only the coverage rates of population health outcomes but also the extent of health inequalities as well as the factors that contribute to these inequalities is crucial for any government. The thesis applied various techniques in the analysis of DHS data (from 2008 and 2013 rounds) in an attempt to answer the research questions.
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Kroll, Martin [Verfasser], and Martin [Akademischer Betreuer] Schlather. "Concentration inequalities for Poisson point processes with applications to non-parametric statistics / Martin Kroll ; Betreuer: Martin Schlather." Mannheim : Universitätsbibliothek Mannheim, 2017. http://d-nb.info/1129105415/34.

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Augeri, Fanny. "Principes de grandes déviations pour des modèles de matrices aléatoires." Thesis, Toulouse 3, 2017. http://www.theses.fr/2017TOU30075/document.

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Cette thèse s'inscrit dans le domaine des matrices aléatoires et des techniques de grandes déviations. On s'attachera dans un premier temps à donner des inégalités de déviations pour différentes fonctionnelles du spectre qui reflètent leurs comportement de grandes déviations, pour des matrices de Wigner vérifiant une propriété de concentration indexée par un paramètre alpha ∈ (0,2]. Nous présenterons ensuite le principe de grandes déviations obtenu pour la plus grande valeur propre des matrices de Wigner sans queues Gaussiennes, dans la lignée du travail de Bordenave et Caputo, puis l'étude des grandes déviations des traces de matrices aléatoires que l'on aborde dans trois cas : le cas des beta-ensembles, celui des matrices de Wigner Gaussiennes, et enfin des matrices de Wigner sans queues Gaussiennes. Le cas Gaussien a été l'occasion de revisiter la preuve de Borell et Ledoux des grandes déviations des chaos de Wiener, que l'on prolonge en proposant un énoncé général de grandes déviations qui nous permet donner une autre preuve des principes de grandes déviations des matrices de Wigner sans queues Gaussiennes. Enfin, nous donnons une nouvelle preuve des grandes déviations de la mesure spectrale empirique des beta-ensembles associés à un potentiel quadratique, qui ne repose que sur leur représentation tridiagonale
This thesis falls within the theory of random matrices and large deviations techniques. We mainly consider large deviations problems which involve a heavy-tail phenomenon. In a first phase, we will focus on finding concentration inequalities for different spectral functionals which reflect their large deviations behavior, for random Hermitian matrices satisfying a concentration property indexed by some alpha ∈ (0,2]. Then we will present the large deviations principle we obtained for the largest eigenvalue of Wigner matrices without Gaussian tails, in line with the work of Bordenave and Caputo. Another example of heavy-tail phenomenon is given by the large deviations of traces of random matrices which we investigate in three cases: the case of beta-ensembles, of Gaussian Wigner matrices, and the case of Wigner matrices without Gaussian tails. The Gaussian case was the opportunity to revisit Borell and Ledoux's proof of the large deviations of Wiener chaoses, which we investigate further by proposing a general large deviations statement, allowing us to give another proof of the large deviations principles known for the Wigner matrices without Gaussian tail. Finally, we give a new proof of the large deviations principles for the beta-ensembles with a quadratic potential, which relies only on the tridiagonal representation of these models. In particular, this result gives a proof of the large deviations of the GUE and GOE which does not rely on the knowledge of the law of the spectrum
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Books on the topic "Concentration inequalities"

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Houdré, Christian, Michel Ledoux, Emanuel Milman, and Mario Milman, eds. Concentration, Functional Inequalities and Isoperimetry. Providence, Rhode Island: American Mathematical Society, 2011. http://dx.doi.org/10.1090/conm/545.

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Picard, Jean, ed. Concentration Inequalities and Model Selection. Berlin, Heidelberg: Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-48503-2.

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Bercu, Bernard, Bernard Delyon, and Emmanuel Rio. Concentration Inequalities for Sums and Martingales. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-22099-4.

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Raginsky, Maxim. Concentration Of Measure Inequalities In Information Theory, Communications, And Coding: Third Edition. Boston, USA: Now Publishers Inc, 2019.

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Concentration, functional inequalities, and isoperimetry: International workshop, October 29-November 1, 2009, Florida Atlantic University, Boca Raton, Florida. Providence, R.I: American Mathematical Society, 2011.

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Tropp, Joel A. Introduction to Matrix Concentration Inequalities. Now Publishers, 2015.

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Lugosi, Gabor, Stephane Boucheron, and Pascal Massart. Concentration Inequalities: A Nonasymptotic Theory of Independence. Oxford University Press, 2016.

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Lugosi, Gabor, Stephane Boucheron, and Pascal Massart. Concentration Inequalities: A Nonasymptotic Theory of Independence. Oxford University Press, 2013.

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Massart, Pascal, Stéphane Boucheron, and Gábor Lugosi. Concentration Inequalities: A Nonasymptotic Theory of Independence. Oxford University Press, Incorporated, 2012.

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Rio, Emmanuel, Bernard Bercu, and Bernard Delyon. Concentration Inequalities for Sums and Martingales. Springer, 2015.

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Book chapters on the topic "Concentration inequalities"

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Villani, Cédric. "Concentration inequalities." In Grundlehren der mathematischen Wissenschaften, 567–628. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-71050-9_22.

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Devroye, Luc, and Gábor Lugosi. "Concentration Inequalities." In Combinatorial Methods in Density Estimation, 4–16. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4613-0125-7_2.

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Douc, Randal, Eric Moulines, Pierre Priouret, and Philippe Soulier. "Concentration Inequalities." In Springer Series in Operations Research and Financial Engineering, 575–601. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-97704-1_23.

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Boucheron, Stéphane, Gábor Lugosi, and Olivier Bousquet. "Concentration Inequalities." In Advanced Lectures on Machine Learning, 208–40. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-28650-9_9.

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Paouris, Grigoris, and Peter Pivovarov. "Randomized Isoperimetric Inequalities." In Convexity and Concentration, 391–425. New York, NY: Springer New York, 2017. http://dx.doi.org/10.1007/978-1-4939-7005-6_13.

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Ledoux, Michel. "Transportation cost inequalities." In The Concentration of Measure Phenomenon, 117–32. Providence, Rhode Island: American Mathematical Society, 2005. http://dx.doi.org/10.1090/surv/089/06.

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Guionnet, Alice. "Concentration inequalities and logarithmic Sobolev inequalities." In Lecture Notes in Mathematics, 49–57. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-69897-5_5.

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Ledoux, Michel. "Concentration functions and inequalities." In The Concentration of Measure Phenomenon, 1–21. Providence, Rhode Island: American Mathematical Society, 2005. http://dx.doi.org/10.1090/surv/089/01.

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Bercu, Bernard, Bernard Delyon, and Emmanuel Rio. "Concentration inequalities for sums." In SpringerBriefs in Mathematics, 11–60. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-22099-4_2.

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Bercu, Bernard, Bernard Delyon, and Emmanuel Rio. "Concentration inequalities for martingales." In SpringerBriefs in Mathematics, 61–98. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-22099-4_3.

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Conference papers on the topic "Concentration inequalities"

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Makarychev, Konstantin, Warren Schudy, and Maxim Sviridenko. "Concentration Inequalities for Nonlinear Matroid Intersection." In Proceedings of the Twenty-Third Annual ACM-SIAM Symposium on Discrete Algorithms. Philadelphia, PA: Society for Industrial and Applied Mathematics, 2012. http://dx.doi.org/10.1137/1.9781611973099.36.

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Keller, Nathan, and Ohad Klein. "Local concentration inequalities and Tomaszewski’s conjecture." In STOC '21: 53rd Annual ACM SIGACT Symposium on Theory of Computing. New York, NY, USA: ACM, 2021. http://dx.doi.org/10.1145/3406325.3451011.

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Norkin, Vladimir I., and Roger J.-B. Wets. "Law of small numbers as concentration inequalities for sums of independent random setsand random set valued mappings." In International Workshop of "Stochastic Programming for Implementation and Advanced Applications". The Association of Lithuanian Serials, 2012. http://dx.doi.org/10.5200/stoprog.2012.17.

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In the paper we study concentration of sample averages (Minkowski's sums) of independent bounded random sets and set valued mappings around their expectations. Sets and mappings are considered in a Hilbert space. Concentration is formulated in the form of exponential bounds on probabilities of normalized large deviations. In a sense, concentration phenomenon reflects the law of small numbers, describing non-asymptotic behavior of the sample averages. We sequentially consider concentration inequalities for bounded random variables, functions, vectors, sets and mappings, deriving next inequalities from preceding cases. Thus we derive concentration inequalities with explicit constants for random sets and mappings from the sharpest available (Talagrand type) inequalities for random functions and vectors. The most explicit inequalities are obtained in case of discrete distributions. The obtained results contribute to substantiation of the Monte Carlo method in infinite dimensional spaces.
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Schudy, Warren, and Maxim Sviridenko. "Concentration and Moment Inequalities for Polynomials of Independent Random Variables." In Proceedings of the Twenty-Third Annual ACM-SIAM Symposium on Discrete Algorithms. Philadelphia, PA: Society for Industrial and Applied Mathematics, 2012. http://dx.doi.org/10.1137/1.9781611973099.37.

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Drach, Dror, Or Ordentlich, and Ofer Shayevitz. "Binary Maximal Correlation Bounds and Isoperimetric Inequalities via Anti-Concentration." In 2021 IEEE International Symposium on Information Theory (ISIT). IEEE, 2021. http://dx.doi.org/10.1109/isit45174.2021.9517829.

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Yassaee, Mohammad H., Jingbo Liu, and Sergio Verdu. "One-shot multivariate covering lemmas via weighted sum and concentration inequalities." In 2017 IEEE International Symposium on Information Theory (ISIT). IEEE, 2017. http://dx.doi.org/10.1109/isit.2017.8006612.

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Louart, Cosme, and Romain Couillet. "A Random Matrix and Concentration Inequalities Framework for Neural Networks Analysis." In ICASSP 2018 - 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2018. http://dx.doi.org/10.1109/icassp.2018.8462001.

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Raginsky, Maxim, and Igal Sason. "Refined bounds on the empirical distribution of good channel codes via concentration inequalities." In 2013 IEEE International Symposium on Information Theory (ISIT). IEEE, 2013. http://dx.doi.org/10.1109/isit.2013.6620220.

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Sanandaji, Borhan M., Tyrone L. Vincent, and Michael B. Wakin. "Concentration of measure inequalities for compressive toeplitz matrices with applications to detection and system identification." In 2010 49th IEEE Conference on Decision and Control (CDC). IEEE, 2010. http://dx.doi.org/10.1109/cdc.2010.5717107.

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Destefani de Sousa, Cora, Eduarda Vieira Florindo, Isadora Imthon, Nadine Martignago Saleh, and Maria Inês Sugai. "DESIGUALDADES E SEGREGAÇÃO SOCIOESPACIAL EM CIDADES MÉDIAS. O caso de Blumenau, SC." In Seminario Internacional de Investigación en Urbanismo. Universitat Politècnica de Catalunya, Grup de Recerca en Urbanisme, 2022. http://dx.doi.org/10.5821/siiu.12216.

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Seeking to contribute to the understanding of inequalities present in medium-sized Brazilian cities, this article reports partial results of a research that aimed to analyze the process of consolidation of socio-spatial segregation in Blumenau, an industrial municipality in Santa Catarina. We sought to identify the socio-spatial dynamics by income extremes, as well as the environmental, economic, political, social and significant public investments involved in territorial disputes. The investigation focused between the 1980s and 2020s, when changes in economic policies and in the productive structure increased socio-spatial inequalities. The investigations showed changes in socio-spatial dynamics, with a significant increase in informality and displacement of the poorest strata to peripheral and precarious areas, and the concentration of the highest strata in central neighborhoods with better infrastructure. The conclusions indicate that the consolidation of spatial segregation in the conurbated area of ​​Blumenau had a significant influence on the previous location of the industries, the frequent environmental disasters and the unequal distribution of public investments. This study aims to understand the dynamics of spatial inequalities in medium-sized cities, considering their historical and socioeconomic specificities, as well as the challenges and actions necessary to ensure their reduction, territorial inclusion and social justice. Keywords: urban segregation, medium-sized cities, intra-urban dynamics, socio-spatial inequalities Buscando contribuir para a compreensão das desigualdades presentes nas cidades médias brasileiras, este artigo relata resultados parciais de pesquisa que teve como objetivo analisar o processo de consolidação da segregação socioespacial em Blumenau, município industrial catarinense. Buscou-se identificar a dinâmica socioespacial por extremos de rendimento, assim como os fatores ambientais, econômicos, políticos, sociais e investimentos públicos significativos envolvidos nas disputas territoriais. A investigação centrou-se entre os anos 1980 a 2020, quando mudanças nas políticas econômicas e na estrutura produtiva ampliaram as desigualdades socioespaciais. As investigações apontaram alterações na dinâmica socioespacial, com expressivo aumento da informalidade e deslocamento das camadas mais pobres para áreas periféricas e precárias, e a concentração das camadas de mais alta nos bairros centrais e com melhor infraestrutura. As conclusões indicam que a consolidação da segregação espacial na área conurbada de Blumenau teve significativa influência da localização pregressa das indústrias, dos frequentes desastres ambientais e da desigual distribuição dos investimentos públicos. Este estudo visa compreender a dinâmica das desigualdades espaciais nas cidades médias, considerando suas especificidades históricas e socioeconômicas, assim como os desafios e as ações necessárias para garantir a sua redução, a inclusão territorial e a justiça social. Palavras-chave: segregação urbana, cidades médias, dinâmica intraurbana, desigualdades socioespaciais.
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Reports on the topic "Concentration inequalities"

1

Mackey, Lester, Michael I. Jordan, Richard Y. Chen, Brendan Farrell, and Joel A. Tropp. Matrix Concentration Inequalities via the Method of Exchangeable Pairs. Fort Belvoir, VA: Defense Technical Information Center, January 2012. http://dx.doi.org/10.21236/ada563088.

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2

Bouezmarni, Taoufik, Mohamed Doukali, and Abderrahim Taamouti. Copula-based estimation of health concentration curves with an application to COVID-19. CIRANO, 2022. http://dx.doi.org/10.54932/mtkj3339.

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COVID-19 has created an unprecedented global health crisis that caused millions of infections and deaths worldwide. Many, however, argue that pre-existing social inequalities have led to inequalities in infection and death rates across social classes, with the most-deprived classes are worst hit. In this paper, we derive semi/non-parametric estimators of Health Concentration Curve (HC) that can quantify inequalities in COVID-19 infections and deaths and help identify the social classes that are most at risk of infection and dying from the virus. We express HC in terms of copula function that we use to build our estimators of HC. For the semi-parametric estimator, a parametric copula is used to model the dependence between health and socio-economic variables. The copula function is estimated using maximum pseudo-likelihood estimator after replacing the cumulative distribution of health variable by its empirical analogue. For the non-parametric estimator, we replace the copula function by a Bernstein copula estimator. Furthermore, we use the above estimators of HC to derive copula-based estimators of health Gini coeffcient. We establish the consistency and the asymptotic normality of HC’s estimators. Using different data-generating processes and sample sizes, a Monte-Carlo simulation exercise shows that the semiparametric estimator outperforms the smoothed nonparametric estimator, and that the latter does better than the empirical estimator in terms of Integrated Mean Squared Error. Finally, we run an extensive empirical study to illustrate the importance of HC’s estimators for investigating inequality in COVID-19 infections and deaths in the U.S. The empirical results show that the inequalities in state’s socio-economic variables like poverty, race/ethnicity, and economic prosperity are behind the observed inequalities in the U.S.’s COVID-19 infections and deaths.
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