Mathematical Statistics: Basic Ideas and Selected Topics, Volumes I-II Package

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CRC Press, 2015 M12 8 - 1066 páginas

This package includes both Mathematical Statistics: Basic Ideas and Selected Topics, Volume I, Second Edition, as well as Mathematical Statistics: Basic Ideas and Selected Topics, Volume II.

Volume I presents fundamental, classical statistical concepts at the doctorate level without using measure theory. It gives careful proofs of major results and explains how the theory sheds light on the properties of practical methods. Volume II covers a number of topics that are important in current measure theory and practice. It emphasizes nonparametric methods which can really only be implemented with modern computing power on large and complex data sets. In addition, the set includes a large number of problems with more difficult ones appearing with hints and partial solutions for the instructor.

 

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Contenido

1 STATISTICAL MODELS GOALS AND PERFORMANCE CRITERIA
1
2 METHODS OF ESTIMATION
99
3 MEASURES OF PERFORMANCES
161
4 TESTING AND CONFIDENCE REGIONS BASIC THEORY
213
5 ASYMPTOTIC APPROXIMATIONS
297
6 INFERENCE IN THE MULTIPARAMETER CASE
365
A A REVIEW OF BASIC PROBABILITY THEORY
441
B ADDITIONAL TOPICS IN PROBABILITY AND ANALYSIS
477
Chapter I INTRODUCTION AND EXAMPLES
1
Chapter 7 TOOLS FOR ASYMPTOTIC ANALYSIS
21
Chapter 8 DISTRIBUTIONFREE UNBIASED AND EQUIVARIANT PROCEDURES
73
Chapter 9 INFERENCE IN SEMIPARAMETRIC MODELS
125
Chapter 10 MONTE CARLO METHODS
211
Chapter 11 NONPARAMETRIC INFERENCE FOR FUNCTIONS OF ONE VARIABLE
265
Chapter 12 PREDICTION AND MACHINE LEARNING
307
Appendix D SOME AUXILIARY RESULTS
399

C TABLES
541
Front Cover
548
Dedication
vii
CONTENTS
ix
PREFACE TO THE 2015 EDITION
xv
Appendix E SOLUTIONS FOR VOLUME II
423
REFERENCES
437
Insert 1
455
Back Cover
457
Derechos de autor

Otras ediciones - Ver todas

Mathematical Statistics: Basic Ideas and Selected Topics
Peter J. Bickel,Kjell A. Doksum
Vista de fragmentos - 1977
Mathematical Statistics: Basic Ideas and Selected Topics
Peter J. Bickel,Kjell A. Doksum
Sin vista previa disponible - 1977

Términos y frases comunes

Analysis apply approach approximation assume assumptions asymptotic Bayes bound called Chapter compute consider consistent constant continuous convergence corresponding defined definition denote density depends derivative discussed distribution empirical equal equivalent error Establish estimate Example exists expected exponential family finite fixed follows function Gaussian give given holds identifiable important independent inequality instance interval known least likelihood limit linear loss matrix mean measure method minimizes natural normal Note observations obtain optimal parameter population possible prediction prior probability Problem procedures Proof properties random variables regression regular rejects Remark replaced respectively result risk rule sample satisfies Section Show space squared statistic sufficient Suppose Theorem theory unbiased unique unknown variance vector write

Acerca del autor (2015)

Peter .J. Bickel, Kjell A. Doksum

Información bibliográfica

TítuloMathematical Statistics: Basic Ideas and Selected Topics, Volumes I-II Package
Chapman & Hall/CRC Texts in Statistical Science
AutoresPeter .J. Bickel, Kjell A. Doksum
EditorCRC Press, 2015
ISBN1498740413, 9781498740418
Largo1066 páginas
  
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