From finite sample to asymptotic methods in statistics:
Exact statistical inference may be employed in diverse fields of science and technology. As problems become more complex and sample sizes become larger, mathematical and computational difficulties can arise that require the use of approximate statistical methods. Such methods are justified by asympt...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2010
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| Schriftenreihe: | Cambridge series on statistical and probabilistic mathematics
29 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Exact statistical inference may be employed in diverse fields of science and technology. As problems become more complex and sample sizes become larger, mathematical and computational difficulties can arise that require the use of approximate statistical methods. Such methods are justified by asymptotic arguments but are still based on the concepts and principles that underlie exact statistical inference. With this in perspective, this book presents a broad view of exact statistical inference and the development of asymptotic statistical inference, providing a justification for the use of asymptotic methods for large samples. Methodological results are developed on a concrete and yet rigorous mathematical level and are applied to a variety of problems that include categorical data, regression, and survival analyses. This book is designed as a textbook for advanced undergraduate or beginning graduate students in statistics, biostatistics, or applied statistics but may also be used as a reference for academic researchers |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xii, 386 pages) |
| ISBN: | 9780511806957 |
| DOI: | 10.1017/CBO9780511806957 |
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| contents | Motivation and basic tools -- Estimation theory -- Hypothesis testing -- Elements of statistical decision theory -- Stochastic processes: an overview -- Stochastic convergence and probability inequalities -- Asymptotic distributions -- Asymptotic behavior of estimators and tests -- Categorical data models -- Regression models -- Weak convergence and Gaussian processes |
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| dewey-full | 519.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5 |
| dewey-search | 519.5 |
| dewey-sort | 3519.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511806957 |
| format | Electronic eBook |
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| spelling | Sen, Pranab Kumar 1937- Verfasser aut From finite sample to asymptotic methods in statistics Pranab K. Sen, Julio M. Singer, Antonio C. Pedroso de Lima Cambridge Cambridge University Press 2010 1 online resource (xii, 386 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge series on statistical and probabilistic mathematics 29 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Motivation and basic tools -- Estimation theory -- Hypothesis testing -- Elements of statistical decision theory -- Stochastic processes: an overview -- Stochastic convergence and probability inequalities -- Asymptotic distributions -- Asymptotic behavior of estimators and tests -- Categorical data models -- Regression models -- Weak convergence and Gaussian processes Exact statistical inference may be employed in diverse fields of science and technology. As problems become more complex and sample sizes become larger, mathematical and computational difficulties can arise that require the use of approximate statistical methods. Such methods are justified by asymptotic arguments but are still based on the concepts and principles that underlie exact statistical inference. With this in perspective, this book presents a broad view of exact statistical inference and the development of asymptotic statistical inference, providing a justification for the use of asymptotic methods for large samples. Methodological results are developed on a concrete and yet rigorous mathematical level and are applied to a variety of problems that include categorical data, regression, and survival analyses. This book is designed as a textbook for advanced undergraduate or beginning graduate students in statistics, biostatistics, or applied statistics but may also be used as a reference for academic researchers Mathematical statistics Probabilities Estimation theory Asymptotic expansions Statistik (DE-588)4056995-0 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Statistik (DE-588)4056995-0 s 2\p DE-604 Singer, Julio da Motta 1950- Sonstige oth Lima, Antonio C. Pedroso de 1961- Sonstige oth Erscheint auch als Druckausgabe 978-0-521-87722-0 https://doi.org/10.1017/CBO9780511806957 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Sen, Pranab Kumar 1937- From finite sample to asymptotic methods in statistics Motivation and basic tools -- Estimation theory -- Hypothesis testing -- Elements of statistical decision theory -- Stochastic processes: an overview -- Stochastic convergence and probability inequalities -- Asymptotic distributions -- Asymptotic behavior of estimators and tests -- Categorical data models -- Regression models -- Weak convergence and Gaussian processes Mathematical statistics Probabilities Estimation theory Asymptotic expansions Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4123623-3 |
| title | From finite sample to asymptotic methods in statistics |
| title_auth | From finite sample to asymptotic methods in statistics |
| title_exact_search | From finite sample to asymptotic methods in statistics |
| title_full | From finite sample to asymptotic methods in statistics Pranab K. Sen, Julio M. Singer, Antonio C. Pedroso de Lima |
| title_fullStr | From finite sample to asymptotic methods in statistics Pranab K. Sen, Julio M. Singer, Antonio C. Pedroso de Lima |
| title_full_unstemmed | From finite sample to asymptotic methods in statistics Pranab K. Sen, Julio M. Singer, Antonio C. Pedroso de Lima |
| title_short | From finite sample to asymptotic methods in statistics |
| title_sort | from finite sample to asymptotic methods in statistics |
| topic | Mathematical statistics Probabilities Estimation theory Asymptotic expansions Statistik (DE-588)4056995-0 gnd |
| topic_facet | Mathematical statistics Probabilities Estimation theory Asymptotic expansions Statistik Lehrbuch |
| url | https://doi.org/10.1017/CBO9780511806957 |
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