Exponential families in theory and practice:
During the past half-century, exponential families have attained a position at the center of parametric statistical inference. Theoretical advances have been matched, and more than matched, in the world of applications, where logistic regression by itself has become the go-to methodology in medical...
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2023
|
| Schriftenreihe: | Institute of Mathematical Statistics textbooks
16 |
| Schlagworte: | |
| Online-Zugang: | BSB01 BTU01 FHN01 TUM01 UBG01 Volltext |
| Zusammenfassung: | During the past half-century, exponential families have attained a position at the center of parametric statistical inference. Theoretical advances have been matched, and more than matched, in the world of applications, where logistic regression by itself has become the go-to methodology in medical statistics, computer-based prediction algorithms, and the social sciences. This book is based on a one-semester graduate course for first year Ph.D. and advanced master's students. After presenting the basic structure of univariate and multivariate exponential families, their application to generalized linear models including logistic and Poisson regression is described in detail, emphasizing geometrical ideas, computational practice, and the analogy with ordinary linear regression. Connections are made with a variety of current statistical methodologies: missing data, survival analysis and proportional hazards, false discovery rates, bootstrapping, and empirical Bayes analysis. The book connects exponential family theory with its applications in a way that doesn't require advanced mathematical preparation |
| Beschreibung: | 1 Online-Ressource (xii, 250 Seiten) |
| ISBN: | 9781108773157 |
| DOI: | 10.1017/9781108773157 |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| doi_str_mv | 10.1017/9781108773157 |
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| illustrated | Not Illustrated |
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| indexdate | 2024-07-10T09:45:19Z |
| institution | BVB |
| isbn | 9781108773157 |
| language | English |
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| spelling | Efron, Bradley 1938- (DE-588)142290718 aut Exponential families in theory and practice Bradley Efron Cambridge Cambridge University Press 2023 1 Online-Ressource (xii, 250 Seiten) txt rdacontent c rdamedia cr rdacarrier Institute of Mathematical Statistics textbooks 16 During the past half-century, exponential families have attained a position at the center of parametric statistical inference. Theoretical advances have been matched, and more than matched, in the world of applications, where logistic regression by itself has become the go-to methodology in medical statistics, computer-based prediction algorithms, and the social sciences. This book is based on a one-semester graduate course for first year Ph.D. and advanced master's students. After presenting the basic structure of univariate and multivariate exponential families, their application to generalized linear models including logistic and Poisson regression is described in detail, emphasizing geometrical ideas, computational practice, and the analogy with ordinary linear regression. Connections are made with a variety of current statistical methodologies: missing data, survival analysis and proportional hazards, false discovery rates, bootstrapping, and empirical Bayes analysis. The book connects exponential family theory with its applications in a way that doesn't require advanced mathematical preparation Exponential families (Statistics) Erscheint auch als Druck-Ausgabe 978-1-108-48890-7 Institute of Mathematical Statistics textbooks 16 (DE-604)BV047040399 16 https://doi.org/10.1017/9781108773157 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Efron, Bradley 1938- Exponential families in theory and practice Institute of Mathematical Statistics textbooks Exponential families (Statistics) |
| title | Exponential families in theory and practice |
| title_auth | Exponential families in theory and practice |
| title_exact_search | Exponential families in theory and practice |
| title_exact_search_txtP | Exponential families in theory and practice |
| title_full | Exponential families in theory and practice Bradley Efron |
| title_fullStr | Exponential families in theory and practice Bradley Efron |
| title_full_unstemmed | Exponential families in theory and practice Bradley Efron |
| title_short | Exponential families in theory and practice |
| title_sort | exponential families in theory and practice |
| topic | Exponential families (Statistics) |
| topic_facet | Exponential families (Statistics) |
| url | https://doi.org/10.1017/9781108773157 |
| volume_link | (DE-604)BV047040399 |
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