Constrained Bayesian Rules for Testing Statistical Hypotheses

K. J. Kachiashvili ()
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K. J. Kachiashvili: Georgian Technical University

A chapter in Strategic Management, Decision Theory, and Decision Science, 2021, pp 159-176 from Springer

Abstract: Abstract The constrained Bayesian method (CBM) of testing statistical hypotheses and their applications to different types of hypotheses are considered. It is shown that CBM is a new philosophy in statistical hypotheses theory, incorporating philosophies of Fisher, Neyman–Pearson, Jefery and Wald. Different kinds of hypotheses are tested at simultaneous and sequential experiments using CBM: simple, complex, directional, multiple, Union–Intersection and Intersection–Union. The obtained results clearly demonstrate an advantage of CBM in comparison with the listed approaches.

Keywords: Constrained Bayesian method; Fisher's method; Neyman–Pearson's method; Jeffreys' method; Wald's method (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-16-1368-5_11

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DOI: 10.1007/978-981-16-1368-5_11

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