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Elements of Distribution Theory

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ISBN-10: 052184472X

ISBN-13: 9780521844727

Edition: 2005

Authors: Thomas A. Severini, R. Gill, B. D. Ripley, S. Ross, B. Silverman

List price: $124.00
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Description:

Providing a comprehensive discussion of the major results of distribution theory at a level not requiring advanced probability theory, this text contains many examples and exercises, as well as detailed proofs of nearly every result.
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Book details

List price: $124.00
Copyright year: 2005
Publisher: Cambridge University Press
Publication date: 8/8/2005
Binding: Hardcover
Pages: 528
Size: 7.50" wide x 10.50" long x 1.50" tall
Weight: 2.332
Language: English

Thomas A. Severini received his Ph.D. in Statistics from the University of Chicago. He is now a Professor of Statistics at Northwestern University. He has also written Likelihood Methods in Statistics. He has published extensively in statistical journals such as Biometrika, the Journal of the American Statistical Association and the Journal of the Royal Statistical Society. He is a member of the Institute of Mathematical Statistics and the American Statistical Association.

Properties of probability distributions
Conditional distributions and expectation
Characteristic functions
Moments and cumulants
Parametric families of distributions
Stochastic processes
Distribution theory for functions of random variables
Normal distribution theory
Approximation of integrals
Orthogonal polynomials
Approximation of probability distributions
Central limit theorems
Approximation to the distributions of more general statistics
Higher-order asymptotic approximations