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 functions in medication, epidemiology and biology. introductory chapters talk about the significance of statistical types in utilized quantitative study and the important position of the possibility functionality. the remainder of the e-book is split into 3 components. the 1st describes likelihood-based inference from a frequentist viewpoint.  homes of the utmost chance estimate, the rating 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 element and period estimates, Bayesian asymptotics and empirical Bayes equipment. glossy numerical innovations for Bayesian inference are defined in a separate bankruptcy. eventually extra complicated themes, version selection and prediction, are mentioned either from a frequentist and a Bayesian perspective.

 

A complete appendix covers the required necessities in likelihood conception, matrix algebra, mathematical calculus, and numerical analysis.

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