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Statistics - Statistical Theory and Methods | Applied Statistical Inference - Likelihood and Bayes

Applied Statistical Inference

Likelihood and Bayes

Held, Leonhard, Sabanés Bové, Daniel

2014, XIII, 376 p. 71 illus.

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  • Offers a non-technical introduction to model-based likelihood and Bayesian inference
  • Covers many applications illustrating the concepts and approaches
  • Complemented by exercises at the end of each chapter, accompanied by an online solutions manual
  • Complete with program examples in the open-source software R
  • Includes a comprehensive appendix covering the necessary mathematical prerequisites

This book covers modern statistical inference based on likelihood with applications in medicine, epidemiology and biology. Two introductory chapters discuss the importance of statistical models in applied quantitative research and the central role of the likelihood function. The rest of the book is divided into three parts. The first describes likelihood-based inference from a frequentist viewpoint.  Properties of the maximum likelihood estimate, the score function, the likelihood ratio and the Wald statistic are discussed in detail. In the second part, 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. Modern numerical techniques for Bayesian inference are described in a separate chapter. Finally two more advanced topics, model choice and prediction, are discussed both from a frequentist and a Bayesian perspective.

 

A comprehensive appendix covers the necessary prerequisites in probability theory, matrix algebra, mathematical calculus, and numerical analysis.

Content Level » Graduate

Keywords » Bayesian Inference - Likelihood Inference - Model Choice - Prediction

Related subjects » Computational Statistics - Life Sciences, Medicine & Health - Statistical Theory and Methods

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Distribution rights for India: Researchco Book Centre, New Delhi, India

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