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1

POSADA, DAVID, KEITH A. CRANDALL, and ALAN R. TEMPLETON. "Nested clade analysis statistics." Molecular Ecology Notes 6, no. 3 (September 2006): 590–93. http://dx.doi.org/10.1111/j.1471-8286.2006.01368.x.

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2

Zhang, Lingsong, Shu Lu, and J. S. Marron. "Nested nonnegative cone analysis." Computational Statistics & Data Analysis 88 (August 2015): 100–110. http://dx.doi.org/10.1016/j.csda.2015.01.008.

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3

Kim, Kang-Min, Nam-Ki Dae, and Joong-Woo Lee. "Analysis on Field Applicability of SWAN Nested Model." Journal of Korean navigation and port research 35, no. 1 (February 28, 2011): 45–49. http://dx.doi.org/10.5394/kinpr.2011.35.1.45.

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4

Bella, Tom, Vadim Olshevsky, and Michael Stewart. "Nested Product Decomposition of Quasiseparable Matrices." SIAM Journal on Matrix Analysis and Applications 34, no. 4 (January 2013): 1520–55. http://dx.doi.org/10.1137/12086354x.

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5

Stern, Julio M., and Stephen A. Vavasis. "Nested Dissection for Sparse Nullspace Bases." SIAM Journal on Matrix Analysis and Applications 14, no. 3 (July 1993): 766–75. http://dx.doi.org/10.1137/0614054.

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6

Heath, Michael T., and Padma Raghavan. "A Cartesian Parallel Nested Dissection Algorithm." SIAM Journal on Matrix Analysis and Applications 16, no. 1 (January 1995): 235–53. http://dx.doi.org/10.1137/s0895479892238270.

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7

Deo, Anthony J., and Rob DeSalle. "Nested areas of endemism analysis." Journal of Biogeography 33, no. 9 (September 2006): 1511–26. http://dx.doi.org/10.1111/j.1365-2699.2006.01559.x.

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8

Jung, S., I. L. Dryden, and J. S. Marron. "Analysis of principal nested spheres." Biometrika 99, no. 3 (July 24, 2012): 551–68. http://dx.doi.org/10.1093/biomet/ass022.

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9

Teng, Shang-Hua. "Fast Nested Dissection for Finite Element Meshes." SIAM Journal on Matrix Analysis and Applications 18, no. 3 (July 1997): 552–65. http://dx.doi.org/10.1137/s0895479895284282.

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10

Evertsson, Nubia. "A Nested Analysis of Electoral Donations." Journal of Mixed Methods Research 11, no. 1 (July 8, 2016): 77–98. http://dx.doi.org/10.1177/1558689815585208.

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This article reports the results of a nested analysis conducted to evaluate whether or not electoral donations are considered legal bribes. Introduced by Lieberman, nested analysis brings together the strengths of the regression analysis and the case study research by integrating large- N approaches (LNA) with small- N approaches (SNA). The nested analysis uses a sequential sampling model (QUANTITATIVE → QUALITATIVE) and a nested sampling design (case selection “on/off the line”). Here, Lieberman’s original model was extended to deal with an apparent paradox that emerged from the analysis. This inquiry included a cross-national examination among 78 countries, denoted as LNA, followed by an intranational analysis conducted in Colombia, where an SNA survey with 302 respondents and an SNA case study were carried out.
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11

Njåstad, Olav. "Contractive Laurent fractions and nested discs." Journal of Approximation Theory 56, no. 2 (February 1989): 134–51. http://dx.doi.org/10.1016/0021-9045(89)90105-6.

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12

Bultheel, A., P. González-Vera, E. Hendriksen, and O. Njåstad. "Orthogonal Rational Functions and Nested Disks." Journal of Approximation Theory 89, no. 3 (June 1997): 344–71. http://dx.doi.org/10.1006/jath.1996.3057.

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13

Carillo, Serge, Laurent Henry, Eric Lippert, François Girodon, Isabelle Guiraud, Céline Richard, Frédérique Dubois Galopin, et al. "Nested High-Resolution Melting Curve Analysis." Journal of Molecular Diagnostics 13, no. 3 (May 2011): 263–70. http://dx.doi.org/10.1016/j.jmoldx.2010.12.002.

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14

Bhat, M. V., W. G. Habashi, J. W. H. Liu, V. N. Nguyen, and M. F. Peeters. "A Note on Nested Dissection for Rectangular Grids." SIAM Journal on Matrix Analysis and Applications 14, no. 1 (January 1993): 253–58. http://dx.doi.org/10.1137/0614020.

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15

Karamolengos, M. "Nested quasi-likelihood models and sufficiency." Journal of Interdisciplinary Mathematics 8, no. 3 (January 2005): 369–76. http://dx.doi.org/10.1080/09720502.2005.10700414.

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16

Zhu, Changrong. "Central configurations of nested regular tetrahedrons." Journal of Mathematical Analysis and Applications 312, no. 1 (December 2005): 83–92. http://dx.doi.org/10.1016/j.jmaa.2005.03.014.

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17

Kim, Hyunik, and Seehwan Yoo. "Vulnerability Analysis on Kernel Code and Memory Protection in Nested Kernel." Journal of KIISE 45, no. 9 (September 30, 2018): 873–80. http://dx.doi.org/10.5626/jok.2018.45.9.873.

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18

Taneja, Inder. "Nested Inequalities Among Divergence Measures." Applied Mathematics & Information Sciences 7, no. 1 (January 1, 2013): 49–71. http://dx.doi.org/10.12785/amis/070106.

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19

Kusuoka, S., and T. Kumagai. "Homogenization on nested fractals." Probability Theory and Related Fields 104, no. 3 (March 1, 1996): 375–98. http://dx.doi.org/10.1007/s004400050028.

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20

Kumagai, T., and S. Kusuoka. "Homogenization on nested fractals." Probability Theory and Related Fields 104, no. 3 (September 1996): 375–98. http://dx.doi.org/10.1007/bf01213686.

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21

Heiss, Florian. "Structural Choice Analysis with Nested Logit Models." Stata Journal: Promoting communications on statistics and Stata 2, no. 3 (September 2002): 227–52. http://dx.doi.org/10.1177/1536867x0200200301.

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The nested logit model has become an important tool for the empirical analysis of discrete outcomes. There is some confusion about its specification of the outcome probabilities. Two major variants show up in the literature. This paper compares both and finds that one of them (called random utility maximization nested logit, RUMNL) is preferable in most situations. Since the command nlogit of Stata 7.0 implements the other variant (called non-normalized nested logit, NNNL), an implementation of RUMNL called nlogitrum is introduced. Numerous examples support and illustrate the differences between both specifications.
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22

Guillaume, Philippe. "Convergence of the Nested Multivariate Padé Approximants." Journal of Approximation Theory 94, no. 3 (September 1998): 455–66. http://dx.doi.org/10.1006/jath.1998.3204.

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23

Carvalho, Tiago, and Marco A. Teixeira. "On piecewise smooth vector fields tangent to nested tori." Journal of Differential Equations 261, no. 7 (October 2016): 4008–29. http://dx.doi.org/10.1016/j.jde.2016.06.015.

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24

Pantula, Sastry G., and Kenneth H. Pollock. "Nested Analysis of Variance with Autocorrelated Errors." Biometrics 41, no. 4 (December 1985): 909. http://dx.doi.org/10.2307/2530963.

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25

Halsey, K. M., and K. Glover. "Analysis and synthesis of nested feedback systems." IEEE Transactions on Automatic Control 50, no. 7 (July 2005): 984–96. http://dx.doi.org/10.1109/tac.2005.851431.

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26

Nı́ Mhı́ocháin, T. R., D. Weaire, S. M. McMurry, and J. M. D. Coey. "Analysis of torque in nested magnetic cylinders." Journal of Applied Physics 86, no. 11 (December 1999): 6412–24. http://dx.doi.org/10.1063/1.371705.

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27

Adib, George A., Yasser M. Sabry, and Diaa Khalil. "Analysis of dual coupler nested coupled cavities." Applied Optics 56, no. 34 (November 28, 2017): 9457. http://dx.doi.org/10.1364/ao.56.009457.

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28

Lee, Byung-Joo, and Lawrence C. Marsh. "Nested logit analysis of missing response observations." Applied Economics Letters 5, no. 12 (December 1998): 751–55. http://dx.doi.org/10.1080/135048598353943.

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29

Li, Yuan, John O. Adeyeye, David Murrugarra, Boris Aguilar, and Reinhard Laubenbacher. "Boolean nested canalizing functions: A comprehensive analysis." Theoretical Computer Science 481 (April 2013): 24–36. http://dx.doi.org/10.1016/j.tcs.2013.02.020.

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30

Gilbert, John R., and Robert Endre Tarjan. "The analysis of a nested dissection algorithm." Numerische Mathematik 50, no. 4 (July 1986): 377–404. http://dx.doi.org/10.1007/bf01396660.

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31

Bortolussi, Luca, Jane Hillston, and Mirco Tribastone. "Fluid Performability Analysis of Nested Automata Models." Electronic Notes in Theoretical Computer Science 310 (January 2015): 27–47. http://dx.doi.org/10.1016/j.entcs.2014.12.011.

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32

Poirier, Dale J. "A Bayesian analysis of nested logit models." Journal of Econometrics 75, no. 1 (November 1996): 163–81. http://dx.doi.org/10.1016/0304-4076(95)01775-5.

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33

Panchal, M. "The automation of Nested Clade Phylogeographic Analysis." Bioinformatics 23, no. 4 (December 1, 2006): 509–10. http://dx.doi.org/10.1093/bioinformatics/btl614.

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34

Foulk, P. W., and S. M. Nassar. "Analysis of parallelism in nested DO loops." Journal of Systems and Software 5, no. 1 (February 1985): 73–80. http://dx.doi.org/10.1016/0164-1212(85)90008-1.

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35

Zhao, Chunhui, and Furong Gao. "A nested-loop Fisher discriminant analysis algorithm." Chemometrics and Intelligent Laboratory Systems 146 (August 2015): 396–406. http://dx.doi.org/10.1016/j.chemolab.2015.06.008.

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36

Chavarriga, J., I. A. García, and J. Sorolla. "Non-nested configuration of algebraic limit cycles in quadratic systems." Journal of Differential Equations 225, no. 2 (June 2006): 513–27. http://dx.doi.org/10.1016/j.jde.2006.01.009.

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37

Cambier, Léopold, Chao Chen, Erik G. Boman, Sivasankaran Rajamanickam, Raymond S. Tuminaro, and Eric Darve. "An Algebraic Sparsified Nested Dissection Algorithm Using Low-Rank Approximations." SIAM Journal on Matrix Analysis and Applications 41, no. 2 (January 2020): 715–46. http://dx.doi.org/10.1137/19m123806x.

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38

Cao, Zhi-Hao. "Convergence of Nested Iterative Methods for Symmetric P-Regular Splittings." SIAM Journal on Matrix Analysis and Applications 22, no. 1 (January 2000): 20–32. http://dx.doi.org/10.1137/s0895479897331229.

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39

Sabot, Christophe. "Pure Point Spectrum for the Laplacian on Unbounded Nested Fractals." Journal of Functional Analysis 173, no. 2 (June 2000): 497–524. http://dx.doi.org/10.1006/jfan.2000.3567.

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40

Padrón, Miguel A., José P. Suárez, and Ángel Plaza. "Adaptive techniques for unstructured nested meshes." Applied Numerical Mathematics 51, no. 4 (December 2004): 565–79. http://dx.doi.org/10.1016/j.apnum.2004.06.010.

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41

Shvalb, Nir, and Shlomi Hacohen. "A short note on nested sums." Miskolc Mathematical Notes 19, no. 1 (2018): 591. http://dx.doi.org/10.18514/mmn.2018.1954.

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42

Hofert, Marius, and David Pham. "Densities of nested Archimedean copulas." Journal of Multivariate Analysis 118 (July 2013): 37–52. http://dx.doi.org/10.1016/j.jmva.2013.03.006.

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43

Hasniawati, Nur Annisa, Eva R. Lase, and Akhis R. Hutabarat. "Indonesian Household Payment Choice: A Nested Logit Analysis." Journal of Central Banking Theory and Practice 9, s1 (July 1, 2020): 291–313. http://dx.doi.org/10.2478/jcbtp-2020-0032.

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AbstractWe examine the preferences of respondents for six types of payment instruments, namely cash, debit and credit cards, card and server-based electronic money, and internet or mobile banking. By applying a nested logit model to 500 household data covering six provincial capitals in Indonesia, we find that the decision to choose payment instruments is made sequentially. Socio-economic characteristics, including education, age, income, and transaction objectives or functionality have a significant effect on the probability of using non-cash electronic payment instruments. We find a substitution pattern between payment instruments, not only between cash and non-cash instruments but also between non-cash instruments. In light of these findings, appropriate payment system policies are in order to hasten the use of non-cash payment.
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44

Madsen, Ole Lehrmann. "Semantic analysis of virtual classes and nested classes." ACM SIGPLAN Notices 34, no. 10 (October 1999): 114–31. http://dx.doi.org/10.1145/320385.320394.

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45

Liren. "On Three-Way Unbalance Nested Analysis of Variance." Journal of Mathematics and Statistics 8, no. 1 (January 1, 2012): 1–14. http://dx.doi.org/10.3844/jmssp.2012.1.14.

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46

Monlezun, Charles J., and David C. Blouin. "A General Nested Split-Plot Analysis of Covariance." Journal of the American Statistical Association 83, no. 403 (September 1988): 818–23. http://dx.doi.org/10.1080/01621459.1988.10478669.

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47

McNulty, Mark S., and William Eisele. "Testing for autocorreiation in nested analysis of variance." Communications in Statistics - Simulation and Computation 20, no. 2-3 (January 1991): 399–410. http://dx.doi.org/10.1080/03610919108812961.

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48

Duarte, J. L., L. J. J. Offringa, and Groningen van. "Stability Analysis of Multilevel Converters with Nested Cells." EPE Journal 9, no. 3-4 (January 2000): 26–32. http://dx.doi.org/10.1080/09398368.2000.11463447.

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49

Ren, Huan, Mei Kong, and Xin Liu. "Analysis on transmission characteristics of nested ring resonators." Journal of Modern Optics 61, no. 14 (June 12, 2014): 1174–79. http://dx.doi.org/10.1080/09500340.2014.927015.

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50

Zaman, Nabil, and Nicholas Pippenger. "ASYMPTOTIC ANALYSIS OF OPTIMAL NESTED GROUP-TESTING PROCEDURES." Probability in the Engineering and Informational Sciences 30, no. 4 (June 29, 2016): 547–52. http://dx.doi.org/10.1017/s0269964816000267.

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We analyze a construction for optimal nested group-testing procedures, and show that, when individuals are independently positive with probability p, the expected number of tests per positive individual, F*(p), has, as p→0, the asymptotic behavior $$F^{\ast}(p) = \log_2 {1\over p} + \log_2 \log 2 + 2 + f\left(\log_2 {1\over p} + \log_2 \log 2\right) + O(p),$$ where $$f(z) = 4\times 2^{-2^{1-\{z\}}} - \{z\} - 1,$$ and {z}=z−⌊z⌋ is the fractional part of z. The function f(z) is a periodic function (with period 1) that exhibits small oscillations (with magnitude <0.005) about an even smaller average value (<0.0005).
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