Selected Topics in Characteristic Functions

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VSP, 1999 - Mathematics - 355 pages
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This work examines inequalities for characteristic functions and the theory of empirical characteristic function. The first chapter contains basic general results concerning characteristic functions. The second chapter deals with various inequalities for characteristic functions, and in the third chapter empirical characteristic functions and their applications to statistics are studied. A collection of various examples, counterexamples and assertions demonstrating interesting properties of characteristic functions is also included.
 

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Contents

Inequalities
67
A Examples
260
B Some characteristic functions
282
Unsolved problems
331
Subject Index
351
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Page 340 - Heathcote, CR ( 1972). A test of goodness of fit for symmetric random variables. Austral. J. Statist. 14, 172-181.
Page 339 - FANG, KT, KOTZ, S. and NG, KW (1989). Symmetric Multivariate and Related Distributions, London and New York: Chapman and Hall.
Page 336 - Binmore, KG, and Stratton, HH (1969). A note on characteristic functions. Ann. Math. Statist. 40, 303-307.

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