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Likelihood and Bayesian inference: with applications in biology and medicine

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 inferen...

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Detalles Bibliográficos
Autores principales: Held, Leonhard, Sabanés Bové, Daniel
Lenguaje:eng
Publicado: Springer 2020
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-662-60792-3
http://cds.cern.ch/record/2717228
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author Held, Leonhard
Sabanés Bové, Daniel
author_facet Held, Leonhard
Sabanés Bové, Daniel
author_sort Held, Leonhard
collection CERN
description 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 calculus, and numerical analysis, and each chapter is complemented by exercises. The text is primarily intended for graduate statistics and biostatistics students with an interest in applications.
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spelling cern-27172282021-04-21T18:08:00Zdoi:10.1007/978-3-662-60792-3http://cds.cern.ch/record/2717228engHeld, LeonhardSabanés Bové, DanielLikelihood and Bayesian inference: with applications in biology and medicineMathematical Physics and MathematicsThis 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 calculus, and numerical analysis, and each chapter is complemented by exercises. The text is primarily intended for graduate statistics and biostatistics students with an interest in applications.Springeroai:cds.cern.ch:27172282020
spellingShingle Mathematical Physics and Mathematics
Held, Leonhard
Sabanés Bové, Daniel
Likelihood and Bayesian inference: with applications in biology and medicine
title Likelihood and Bayesian inference: with applications in biology and medicine
title_full Likelihood and Bayesian inference: with applications in biology and medicine
title_fullStr Likelihood and Bayesian inference: with applications in biology and medicine
title_full_unstemmed Likelihood and Bayesian inference: with applications in biology and medicine
title_short Likelihood and Bayesian inference: with applications in biology and medicine
title_sort likelihood and bayesian inference: with applications in biology and medicine
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-662-60792-3
http://cds.cern.ch/record/2717228
work_keys_str_mv AT heldleonhard likelihoodandbayesianinferencewithapplicationsinbiologyandmedicine
AT sabanesbovedaniel likelihoodandbayesianinferencewithapplicationsinbiologyandmedicine