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Titlebook: Likelihood and Bayesian Inference; With Applications in Leonhard Held,Daniel Sabanés Bové Textbook 2020Latest edition Springer-Verlag GmbH

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发表于 2025-3-21 16:26:48 | 显示全部楼层 |阅读模式
书目名称Likelihood and Bayesian Inference
副标题With Applications in
编辑Leonhard Held,Daniel Sabanés Bové
视频video
概述Offers an easily accessible and comprehensive introduction to model-based statistical inference.Provides real-world applications in biology, medicine and epidemiology with programming examples in the
丛书名称Statistics for Biology and Health
图书封面Titlebook: Likelihood and Bayesian Inference; With Applications in Leonhard Held,Daniel Sabanés Bové Textbook 2020Latest edition Springer-Verlag GmbH
描述This richly illustrated textbook covers modern statistical methods with applications in medicine, epidemiology and biology. Firstly, it discusses the importance of statistical models in applied quantitative research and the central role of the likelihood function, describing likelihood-based inference from a frequentist viewpoint, and exploring the properties of the maximum likelihood estimate, the score function, the likelihood ratio and the Wald statistic. In the second part of the book, likelihood is combined with prior information to perform Bayesian inference. Topics include Bayesian updating, conjugate and reference priors, Bayesian point and interval estimates, Bayesian asymptotics and empirical Bayes methods. It includes a separate chapter on modern numerical techniques for Bayesian inference, and also addresses advanced topics, such as model choice and prediction from frequentist and Bayesian perspectives. This revised edition of the book “Applied Statistical Inference” has been expanded to include new material on Markov models for time series analysis. It also features a comprehensive appendix covering the prerequisites in probability theory, matrix algebra, mathematical
出版日期Textbook 2020Latest edition
关键词Bayesian inference; likelihood inference; model choice; maximum likelihood estimate; frequentist inferen
版次2
doihttps://doi.org/10.1007/978-3-662-60792-3
isbn_softcover978-3-662-60794-7
isbn_ebook978-3-662-60792-3Series ISSN 1431-8776 Series E-ISSN 2197-5671
issn_series 1431-8776
copyrightSpringer-Verlag GmbH Germany, part of Springer Nature 2020
The information of publication is updating

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发表于 2025-3-21 21:34:16 | 显示全部楼层
发表于 2025-3-22 03:50:20 | 显示全部楼层
Textbook 2020Latest editionimportance of statistical models in applied quantitative research and the central role of the likelihood function, describing likelihood-based inference from a frequentist viewpoint, and exploring the properties of the maximum likelihood estimate, the score function, the likelihood ratio and the Wal
发表于 2025-3-22 08:03:56 | 显示全部楼层
1431-8776 medicine and epidemiology with programming examples in the This richly illustrated textbook covers modern statistical methods with applications in medicine, epidemiology and biology. Firstly, it discusses the importance of statistical models in applied quantitative research and the central role of
发表于 2025-3-22 10:40:39 | 显示全部楼层
Likelihood,tion, and Fisher information. Computational algorithms are treated to compute the maximum likelihood estimate, such as optimisation and the EM algorithm. The concept of sufficiency and the likelihood principle are finally discussed in some detail. Exercises are given at the end.
发表于 2025-3-22 15:10:57 | 显示全部楼层
Frequentist Properties of the Likelihood,the corresponding confidence intervals are introduced. Variance-stabilising transformations are also discussed. A case study comparing coverage and width of several confidence intervals for a proportion finishes this chapter, completed by a number of exercises at the end.
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发表于 2025-3-22 21:59:23 | 显示全部楼层
Model Selection,its connection to cross-validation. Bayesian model selection based on the marginal likelihood is described, including Bayesian model averaging. Finally, DIC is introduced, completed by a number of exercises at the end.
发表于 2025-3-23 03:09:55 | 显示全部楼层
Numerical Methods for Bayesian Inference, provide ways to numerically compute posterior characteristics of interest. Monte Carlo methods, including Monte Carlo integration, rejection and importance sampling as well as Markov chain Monte Carlo are described. Finally, numerical computation of the marginal likelihood, necessary for Bayesian m
发表于 2025-3-23 05:46:15 | 显示全部楼层
Prediction, predictions, obtained with either a likelihood or Bayesian approach. Connections to the simpler plug-in prediction are also described. Finally, methods to assess the quality of probabilistic predictions, such as the Brier and the logarithmic score, are described. Exercises are given at the end.
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