Download e-book for iPad: A Comparison of the Bayesian and Frequentist Approaches to by Francisco J. Samaniego

By Francisco J. Samaniego

This monograph contributes to the world of comparative statistical inference. consciousness is specific to the real subfield of statistical estimation. The booklet is meant for an viewers having a superior grounding in chance and facts on the point of the year-long undergraduate direction taken through records and arithmetic majors. the required historical past on choice idea and the frequentist and Bayesian techniques to estimation is gifted and punctiliously mentioned in Chapters 1–3. The “threshold challenge” - choosing the boundary among Bayes estimators which are inclined to outperform common frequentist estimators and Bayes estimators which don’t - is formulated in an analytically tractable approach in bankruptcy four. The formula features a particular (decision-theory established) criterion for evaluating estimators. the center piece of the monograph is bankruptcy five within which, below relatively basic stipulations, an specific method to the edge is got for the matter of estimating a scalar parameter less than squared mistakes loss. The six chapters that persist with tackle various different contexts during which the brink challenge may be productively taken care of. incorporated are remedies of the Bayesian consensus challenge, the edge challenge for estimation difficulties regarding of multi-dimensional parameters and/or uneven loss, the estimation of nonidentifiable parameters, empirical Bayes equipment for combining info from ‘similar’ experiments and linear Bayes tools for combining information from ‘related’ experiments. the ultimate bankruptcy presents an summary of the monograph’s highlights and a dialogue of parts and difficulties wanting extra research.

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A Comparison of the Bayesian and Frequentist Approaches to Estimation (Springer Series in Statistics) by Francisco J. Samaniego

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