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Mathematical statistics

This graduate textbook covers topics in statistical theory essential for graduate students preparing for work on a Ph.D. degree in statistics. The first chapter provides a quick overview of concepts and results in measure-theoretic probability theory that are useful in statistics. The second chapter...

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Detalles Bibliográficos
Autor principal: Shao, Jun
Lenguaje:eng
Publicado: Springer 2003
Materias:
Acceso en línea:https://dx.doi.org/10.1007/b97553
http://cds.cern.ch/record/1568611
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author Shao, Jun
author_facet Shao, Jun
author_sort Shao, Jun
collection CERN
description This graduate textbook covers topics in statistical theory essential for graduate students preparing for work on a Ph.D. degree in statistics. The first chapter provides a quick overview of concepts and results in measure-theoretic probability theory that are useful in statistics. The second chapter introduces some fundamental concepts in statistical decision theory and inference. Chapters 3-7 contain detailed studies on some important topics: unbiased estimation, parametric estimation, nonparametric estimation, hypothesis testing, and confidence sets. A large number of exercises in each chapt
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spelling cern-15686112021-04-21T22:33:09Zdoi:10.1007/b97553http://cds.cern.ch/record/1568611engShao, JunMathematical statisticsMathematical Physics and MathematicsThis graduate textbook covers topics in statistical theory essential for graduate students preparing for work on a Ph.D. degree in statistics. The first chapter provides a quick overview of concepts and results in measure-theoretic probability theory that are useful in statistics. The second chapter introduces some fundamental concepts in statistical decision theory and inference. Chapters 3-7 contain detailed studies on some important topics: unbiased estimation, parametric estimation, nonparametric estimation, hypothesis testing, and confidence sets. A large number of exercises in each chaptSpringeroai:cds.cern.ch:15686112003
spellingShingle Mathematical Physics and Mathematics
Shao, Jun
Mathematical statistics
title Mathematical statistics
title_full Mathematical statistics
title_fullStr Mathematical statistics
title_full_unstemmed Mathematical statistics
title_short Mathematical statistics
title_sort mathematical statistics
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/b97553
http://cds.cern.ch/record/1568611
work_keys_str_mv AT shaojun mathematicalstatistics