The Bayesian approach to statistics : a review of methodology with selected applications : a thesis presented in partial fulfilment of the requirements for the degree of Master of Science in Statistics at Massey University

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dc.contributor.authorWood, Shane Byram
dc.date.accessioned2019-01-11T00:58:10Z
dc.date.available2019-01-11T00:58:10Z
dc.date.issued1984
dc.description.abstractIn this thesis we present a review of the Bayesian approach to Statistical Inference. In Chapter One we develop the theory and methodology behind the approach. Starting from its basis in subjective probability we outline the Bayesian philosophy towards such problems as Point and Interval estimation, Hypothesis testing and Decision Theory. For each of these areas, we indicate the corresponding Classical approach and comment on the differences between this and the Bayesian one. We then develop the idea of conjugate families of prior distributions which is central to the practice of Bayesian statistics, and follow this with a section on the assessment of subjective probability distributions, their functional specification and the problem of mathematically representing a state of 'ignorance'. The Decision Theoretic approach to statistical analysis is then integrated into the Bayesian framework, and reference is made to the assessment of 'loss' functions, and their subjective nature. Finally we consider the concepts of Empirical Bayes, Exchangeability, and Likelihood, and their relevence to the Bayesian scheme. Chapter Two consists of a review of areas such as econometrics, medicine, industry, and education, where Bayesian methods have been applied, accompanied by a number of particularly interesting applications which illustrate the principles outlined in chapter one.en_US
dc.identifier.urihttp://hdl.handle.net/10179/14184
dc.language.isoenen_US
dc.publisherMassey Universityen_US
dc.rightsThe Authoren_US
dc.subjectBayesian statistical decision theoryen_US
dc.titleThe Bayesian approach to statistics : a review of methodology with selected applications : a thesis presented in partial fulfilment of the requirements for the degree of Master of Science in Statistics at Massey Universityen_US
dc.typeThesisen_US
massey.contributor.authorWood, Shane Byram
thesis.degree.disciplineStatisticsen_US
thesis.degree.grantorMassey Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Science (M. Sc.)en_US
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