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內容簡介

this book consists of solutions to 400 exercises， over 95% of which arein my book Mathematical Statistics. Many of them are standard exercisesthat also appear in other textbooks listed in the references. It is onlya partial solution manual to Mathematical Statistics （which contains over900 exercises）. However， the types of exercise in Mathematical Statistics notselected in the current book are （1） exercises that are routine （each exerciseselected in this book has a certain degree of difficulty）， （2） exercises similarto one or several exercises selected in the current book， and （3） exercises foradvanced materials that are often not included in a mathematical statisticscourse for first-year Ph.D. students in statistics （e.g.， Edgeworth expan-sions and second-order accuracy of confidence sets， empirical likelihoods，statistical functionals， generalized linear models， nonparametric tests， andtheory for the bootstrap and jackknife， etc.）. On the other hand， this isa stand-alone book， since exercises and solutions are comprehensibleindependently of their source for likely readers. To help readers notusing this book together with Mathematical Statistics， lists of notation，terminology， and some probability distributions are given in the front ofthe book.

內頁插圖

目錄

Preface
Notation
Terminology
Some Distributions
Chapter 1. Probability Theory
Chapter 2. Fundamentals of Statistics
Chapter 3. Unbiased Estimation
Chapter 4. Estimation in Parametric Models
Chapter 5. Estimation in Nonparametric Models
Chapter 6. Hypothesis Tests
Chapter 7. Confidence Sets
References
Index

前言/序言

　　Since the publication of my book Mathematical Statistics （Shao， 2003）， Ihave been asked many times for a solution manual to the exercises in mybook.　Without doubt， exercises form an important part of a textbookon mathematical statistics， not only in training students for their researchability in mathematical statistics but also in presenting many additionalresults as complementary material to the main text.　Written solutionsto these exercises are important for students who initially do not havethe skills in solving these exercises completely and are very helpful forinstructors of a mathematical statistics course （whether or not my bookMathematical Statistics is used as the textbook） in providing answers tostudents as well as finding additional examples to the main text. Moti-vated by this and encouraged by some of my colleagues and Springer-Verlageditor John Kimmel， I have completed this book， Mathematical Statistics：Exercises and Solutions.
　　This book consists of solutions to 400 exercises， over 95% of which arein my book Mathematical Statistics. Many of them are standard exercisesthat also appear in other textbooks listed in the references.　It is onlya partial solution manual to Mathematical Statistics （which contains over900 exercises）. However， the types of exercise in Mathematical Statistics notselected in the current book are （1） exercises that are routine （each exerciseselected in this book has a certain degree of difficulty）， （2） exercises similarto one or several exercises selected in the current book， and （3） exercises foradvanced materials that are often not included in a mathematical statisticscourse for first-year Ph.D. students in statistics （e.g.， Edgeworth expan-sions and second-order accuracy of confidence sets， empirical likelihoods，statistical functionals， generalized linear models， nonparametric tests， andtheory for the bootstrap and jackknife， etc.）. On the other hand， this isa stand-alone book， since exercises and solutions are comprehensibleindependently of their source for likely readers.　To help readers notusing this book together with Mathematical Statistics， lists of notation，terminology， and some probability distributions are given in the front ofthe book.

數理統計問題與解答 [Mathematical Statistics:Exercises and Solutions] 下載 mobi epub pdf txt 電子書

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2015-06-02 16:37 購買

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