Mathematical Statistical

Applied Statistical Inference: Likelihood and Bayes by Leonhard Held,Daniel Sabanés Bové

By Leonhard Held,Daniel Sabanés Bové

This ebook covers smooth statistical inference in keeping with chance with purposes in medication, epidemiology and biology. introductory chapters talk about the significance of statistical versions in utilized quantitative study and the imperative function of the possibility functionality. the remainder of the ebook is split into 3 elements. the 1st describes likelihood-based inference from a frequentist viewpoint.  houses of the utmost chance estimate, the ranking functionality, the possibility ratio and the Wald statistic are mentioned intimately. within the moment half, likelihood is mixed with past details to accomplish Bayesian inference. subject matters comprise Bayesian updating, conjugate and reference priors, Bayesian aspect and period estimates, Bayesian asymptotics and empirical Bayes tools. smooth numerical suggestions for Bayesian inference are defined in a separate bankruptcy. eventually extra complex subject matters, version selection and prediction, are mentioned either from a frequentist and a Bayesian perspective.

 

A complete appendix covers the mandatory must haves in likelihood idea, matrix algebra, mathematical calculus, and numerical analysis.

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