Basics of modern mathematical statistics

著者

    • Spokoiny, Vladimir
    • Dickhaus, Thorsten

書誌事項

Basics of modern mathematical statistics

Vladimir Spokoiny, Thorsten Dickhaus

(Springer texts in statistics)

Springer, c2015

  • : [pbk]

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注記

Includes bibliographical references (p. 289-292) and index

内容説明・目次

巻冊次

ISBN 9783642399084

内容説明

This textbook provides a unified and self-contained presentation of the main approaches to and ideas of mathematical statistics. It collects the basic mathematical ideas and tools needed as a basis for more serious study or even independent research in statistics. The majority of existing textbooks in mathematical statistics follow the classical asymptotic framework. Yet, as modern statistics has changed rapidly in recent years, new methods and approaches have appeared. The emphasis is on finite sample behavior, large parameter dimensions, and model misspecifications. The present book provides a fully self-contained introduction to the world of modern mathematical statistics, collecting the basic knowledge, concepts and findings needed for doing further research in the modern theoretical and applied statistics. This textbook is primarily intended for graduate and postdoc students and young researchers who are interested in modern statistical methods.

目次

Basic notions.- Parameter Estimation for an i.i.d. Model.- Regression Estimation.- Estimation in Linear Models.- Bayes Estimation.- Testing a Statistical Hypothesis.- Testing in Linear Models.- Some other Testing Methods.- Deviation Probability for Quadratic Forms.
巻冊次

: [pbk] ISBN 9783662513484

内容説明

This textbook provides a unified and self-contained presentation of the main approaches to and ideas of mathematical statistics. It collects the basic mathematical ideas and tools needed as a basis for more serious study or even independent research in statistics. The majority of existing textbooks in mathematical statistics follow the classical asymptotic framework. Yet, as modern statistics has changed rapidly in recent years, new methods and approaches have appeared. The emphasis is on finite sample behavior, large parameter dimensions, and model misspecifications. The present book provides a fully self-contained introduction to the world of modern mathematical statistics, collecting the basic knowledge, concepts and findings needed for doing further research in the modern theoretical and applied statistics. This textbook is primarily intended for graduate and postdoc students and young researchers who are interested in modern statistical methods.

目次

​Basic notions.- Parameter Estimation for an i.i.d. Model.- Regression Estimation.-  Estimation in Linear Models.- Bayes Estimation.- Testing a Statistical Hypothesis.- Testing in Linear Models.- Some other Testing Methods.-  Deviation Probability for Quadratic Forms.

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詳細情報

  • NII書誌ID(NCID)
    BB17151136
  • ISBN
    • 9783642399084
    • 9783662513484
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Berlin
  • ページ数/冊数
    xviii, 296 p.
  • 大きさ
    25 cm
  • 親書誌ID
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