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Books on the topic 'Exact asymptotics'

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Author: Grafiati
Published: 10 December 2022
Last updated: 28 January 2023

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1

Lippi, Marco. Aggregation of simple linear dynamics: Exact asymptotic results. London: Suntory Centre, 1998.

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2

Bera, Anil K. On exact and asymptotic tests of non-nested models. [Urbana, Ill.]: College of Commerce and Business Administration, University of Illinois at Urbana-Champaign, 1985.

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3

Stochastic equations through the eye of the physicist: Basic concepts, exact results and asymptotic approximations. Amsterdam: Elsevier, 2005.

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4

Kli͡at͡skin, Valeriĭ Isaakovich. Stochastic equations through the eye of the physicist: Basic concepts, exact results and asymptotic approximations. Amsterdam: Elsevier, 2005.

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5

Approximation theory in the central limit theorems--exact results in Banach spaces. Dordrecht, Netherlands: Kluwer Academic Publishers, 1989.

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6

Ludwig, Donald. Exact and Asymptotic Solutions of the Cauchy Problem. Creative Media Partners, LLC, 2018.

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7

Radiative Transfer: An Introduction to Exact and Asymptotic Methods. Springer International Publishing AG, 2022.

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8

Tirkkonen, Olav. Exact and Asymptotic Analysis of Largest Eigenvalue Based Spectrum Sensing. INTECH Open Access Publisher, 2012.

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9

I, Hariharan S., Lewis Research Center, and United States. National Aeronautics and Space Administration., eds. A formulation of asymptotic and exact boundary conditions using local operators. [Cleveland, Ohio]: National Aeronautics and Space Administration, Lewis Research Center, 1998.

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10

Klyatskin, Valery I. Stochastic Equations through the Eye of the Physicist: Basic Concepts, Exact Results and Asymptotic Approximations. Elsevier Science, 2005.

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11

Distributions of Test Statistics: Exact and Asymptotic, Null and Non-Null, Methods-Comparisons-Research Frontiers. Ohio, USA: American Sciences Press, Inc., 1990.

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12

Deruelle, Nathalie, and Jean-Philippe Uzan. The field of a moving charge. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0035.

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This chapter begins the study of electromagnetic radiation by calculating the field created by a single moving charge, first when in uniform motion, and then when it is accelerated. It reveals the potential created by a charge in uniform motion starting from the Coulomb expression for the potential in the frame where it is at rest, and then by making a Lorentz transformation. The chapter then follows the exact reasoning for any type of motion by introducing inertial frames tangent to the charge world line. In this way, it obtains the retarded Liénard–Wiechert potential created by a charge in any type of motion. After studying some special cases of the field of a moving charge, the chapter defines the asymptotic, radiation, part of the field.
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13

Mathai, A. M. Distributions of Test Statistics: Exact Asymptotic, Null and Non-Null, Methods-Comparisons-Research Frontiers (Math & Mngnt Sciences Ser. : Vol. 18). American Sciences Press, Inc., 1989.

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14

Klyatskin, Valery I. Stochastic Equations : Theory and Applications in Acoustics, Hydrodynamics, Magnetohydrodynamics, and Radiophysics, Volume 1: Basic Concepts, Exact Results, and Asymptotic Approximations. Springer International Publishing AG, 2016.

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15

Klyatskin, Valery I. Stochastic Equations : Theory and Applications in Acoustics, Hydrodynamics, Magnetohydrodynamics, and Radiophysics, Volume 1: Basic Concepts, Exact Results, and Asymptotic Approximations. Springer, 2014.

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16

Klyatskin, Valery Isaakovich. Stochastic Equations - Theory and Applications in Acoustics, Hydrodynamics, Magnetohydrodynamic, and Radiophysics Vol. 1: Basic Concepts, Exact Results, and Asymptotic Approximations. Springer International Publishing AG, 2014.

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17

Cheng, Russell. Bootstrap Analysis. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198505044.003.0004.

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Parametric bootstrapping (BS) provides an attractive alternative, both theoretically and numerically, to asymptotic theory for estimating sampling distributions. This chapter summarizes its use not only for calculating confidence intervals for estimated parameters and functions of parameters, but also to obtain log-likelihood-based confidence regions from which confidence bands for cumulative distribution and regression functions can be obtained. All such BS calculations are very easy to implement. Details are also given for calculating critical values of EDF statistics used in goodness-of-fit (GoF) tests, such as the Anderson-Darling A2 statistic whose null distribution is otherwise difficult to obtain, as it varies with different null hypotheses. A simple proof is given showing that the parametric BS is probabilistically exact for location-scale models. A formal regression lack-of-fit test employing parametric BS is given that can be used even when the regression data has no replications. Two real data examples are given.
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