Rao-Lovric and the Triwizard Point Null Hypothesis Tournament

Testing Point Null Hypothesis of a Normal Mean and the Truth: 21st Century Perspective

Testing a point (sharp) null hypothesis is arguably the most widely used statistical inferential procedure in many fields of scientific research, nevertheless, the most controversial, and misapprehended. Since 1935 when Buchanan-Wollaston raised the first criticism against hypothesis testing, this foundational field of statistics has drawn increasingly active and stronger opposition, including ...

Testing a Point Null Hypothesis against One-Sided for Non Regular and Exponential Families: The Reconcilability Condition to P-values and Posterior Probability

In this paper, the reconcilability between the P-value and the posterior probability in testing a point null hypothesis against the one-sided hypothesis is considered. Two essential families, non regular and exponential family of distributions, are studied. It was shown in a non regular family of distributions; in some cases, it is possible to find a prior distribution function under which P-va...

Some Remarks on Rao and Lovric’s ‘Testing Point Null Hypothesis of a Normal Mean and the Truth: 21st Century Perspective’

Statistical Ecidence, Part II: Law of Likelihood and P-Values Defects as a Measure of Support of the Null Hypothesis

This article has no abstract.

Improved Estimation in Rayleigh type-II Censored Data under a Bounded Loss Utilizing a Point Guess Value

‎The problem of shrinkage testimation (test-estimation) for the Rayleigh scale‎ ‎parameter θ based on censored samples under the reflected‎ ‎gamma loss function is considered‎. We obtain the minimum risk‎ ‎estimator among a subclass and compute its risk‎. ‎A shrinkage‎ ‎testimator based on acceptance or rejection of a null hypothesis&lr...