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Asymptotic Theory of Statistics and Probability

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Cover of 'Asymptotic Theory of Statistics and Probability'

Table of Contents

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    Book Overview
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    Chapter 1 Basic Convergence Concepts and Theorems
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    Chapter 2 Metrics, Information Theory, Convergence, and Poisson Approximations
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    Chapter 3 More General Weak and Strong Laws and the Delta Theorem
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    Chapter 4 Transformations
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    Chapter 5 More General Central Limit Theorems
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    Chapter 6 Moment Convergence and Uniform Integrability
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    Chapter 7 Sample Percentiles and Order Statistics
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    Chapter 8 Sample Extremes
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    Chapter 9 Central Limit Theorems for Dependent Sequences
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    Chapter 10 Central Limit Theorem for Markov Chains
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    Chapter 11 Accuracy of Central Limit Theorems
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    Chapter 12 Invariance Principles
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    Chapter 13 Edgeworth Expansions and Cumulants
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    Chapter 14 Saddlepoint Approximations
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    Chapter 15 U -statistics
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    Chapter 16 Maximum Likelihood Estimates
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    Chapter 17 M Estimates
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    Chapter 18 The Trimmed Mean
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    Chapter 19 Multivariate Location Parameter and Multivariate Medians
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    Chapter 20 Bayes Procedures and Posterior Distributions
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    Chapter 21 Testing Problems
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    Chapter 22 Asymptotic Efficiency in Testing
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    Chapter 23 Some General Large-Deviation Results
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    Chapter 24 Classical Nonparametrics
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    Chapter 25 Two-Sample Problems
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    Chapter 26 Goodness of Fit
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    Chapter 27 Chi-square Tests for Goodness of Fit
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    Chapter 28 Goodness of Fit with Estimated Parameters
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    Chapter 29 The Bootstrap
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    Chapter 30 Jackknife
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    Chapter 31 Permutation Tests
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    Chapter 32 Density Estimation
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    Chapter 33 Mixture Models and Nonparametric Deconvolution
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    Chapter 34 High-Dimensional Inference and False Discovery
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    Chapter 35 A Collection of Inequalities in Probability, Linear Algebra, and Analysis
Attention for Chapter 4: Transformations
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Chapter title
Transformations
Chapter number 4
Book title
Asymptotic Theory of Statistics and Probability
Published by
Springer, New York, NY, January 2008
DOI 10.1007/978-0-387-75971-5_4
Book ISBNs
978-0-387-75970-8, 978-0-387-75971-5
Authors

Anirban DasGupta, DasGupta, Anirban

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