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A First Course in Order Statistics (Classics in Applied Mathematics 54)

โœ Scribed by Barry C. Arnold, N. Balakrishnan, H. N. Nagaraja


Publisher
SIAM-Society for Industrial and Applied Mathematics
Year
2008
Tongue
English
Leaves
303
Series
Classics in Applied Mathematics 54
Category
Library

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โœฆ Synopsis


Written in a simple style that requires no advanced mathematical or statistical background, A First Course in Order Statistics introduces the general theory of order statistics and their applications. The book covers topics such as distribution theory for order statistics from continuous and discrete populations, moment relations, bounds and approximations, order statistics in statistical inference and characterization results, and basic asymptotic theory. There is also a short introduction to record values and related statistics. This classic text will aid readers in understanding much of the current literature on order statistics, a burgeoning field of study that is a requisite for any practicing statistician and an essential part of the training for students in statistics. The authors have updated the text with suggestions for further reading that readers may use for self-study. Audience This book is intended for advanced undergraduate and graduate students in statistics and mathematics, practicing statisticians, engineers, climatologists, economists, and biologists. Contents Preface to the Classics Edition; Further Reading; Preface; Acknowledgments; Notations and Abbreviations; Errata; Chapter 1: Introduction and Preview; Chapter 2: Basic Distribution Theory; Chapter 3: Discrete Order Statistics; Chapter 4: Order Statistics from Some Specific Distributions; Chapter 5: Moment Relations, Bounds, and Approximations; Chapter 6: Characterizations Using Order Statistics; Chapter 7: Order Statistics in Statistical Inference; Chapter 8: Asymptotic Theory; Chapter 9: Record Values; Bibliography; Author Index; Subject Index.

โœฆ Table of Contents


Contents......Page 10
Preface to the Classics Edition......Page 14
Further Reading......Page 15
Preface......Page 16
Acknowledgments......Page 18
Notations and Abbreviations......Page 20
Errata......Page 24
CHAPTER 1 Introduction and Preview......Page 25
CHAPTER 2 Basic Distribution Theory......Page 33
CHAPTER 3 Discrete Order Statistics......Page 65
CHAPTER 4 Order Statistics from some SpecificDistributions......Page 87
CHAPTER 5 Moment Relations, Bounds, andApproximations......Page 131
CHAPTER 6 Characterizations usingOrder Statistics......Page 165
CHAPTER 7 Order Statistics in StatisticalInference......Page 183
CHAPTER 8 Asymptotic Theory......Page 229
CHAPTER 9 Record Values......Page 265
Bibliography......Page 283
Author Index......Page 295
Subject Index......Page 299

โœฆ Subjects


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