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Constrained Bayesian Rules for Testing Statistical Hypotheses

In: Strategic Management, Decision Theory, and Decision Science

Author

Listed:
  • K. J. Kachiashvili

    (Georgian Technical University
    Tbilisi State University
    Georgian Technical University)

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.

Suggested Citation

  • K. J. Kachiashvili, 2021. "Constrained Bayesian Rules for Testing Statistical Hypotheses," Springer Books, in: Bikas Kumar Sinha & Srijib Bhusan Bagchi (ed.), Strategic Management, Decision Theory, and Decision Science, pages 159-176, Springer.
    • Handle: RePEc:spr:sprchp:978-981-16-1368-5_11
    DOI: 10.1007/978-981-16-1368-5_11
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