Submitted:
08 December 2025
Posted:
11 December 2025
You are already at the latest version
Abstract
A new philosophy of hypothesis testing - the constrained Bayesian method (CBM) and its application for testing different types of statistical hypotheses such as: simple, composite, asymmetric, multiple hypotheses, are considered in the work. The advantage of the CBM over existing classical methods is theoretically proven in the form of theorems and practi-cally demonstrated by the results of numerous example computations. Examples of the use of CBM to solve some practically important problems are presented, which confirm the flexibility of the method and its great ability to deal with difficult problems.
Keywords:
hypothesis
; constrained Bayesian method
; simple
; composite and multiple hypotheses
; parallel methods
; sequential methods
; equi-correlation coefficient
; ANOVA
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
