TY - JOUR
JF - JIRSS
JO - JIRSS
VL - 19
IS - 2
PY - 2020
Y1 - 2020/12/01
TI - Testing a Point Null Hypothesis against One-Sided for Non Regular and Exponential Families: The Reconcilability Condition to P-values and Posterior Probability
TT - آزمون فرض یک نقطه ای در مقابل یکطرفه برای خانواده نامنظم و نمایی: بررسی توافق مقدار احتمال و احتمال پسین
N2 - 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-value and posterior probability are achieved. However, in the exponential family of distributions, this agreement is based on the complete monotonicity of a function of hazard rate.
SP - 101
EP - 117
AU - Zolfaghari, Parisa
AU - Chinipardaz, Rahim
AU - Esmaily, Jafar
AD - Department of Statistics, Faculty of Mathematics and Computer Science, Shahid Chamran University of Ahvaz, Ahvaz, Iran.
KW - Completely Monotone
KW - Exponential Family of Distributions
KW - Non Regular Family of Distributions
KW - P-values
KW - Posterior Probability.
UR - http://jirss.irstat.ir/article-1-605-en.html
DO - 10.52547/jirss.19.2.101
ER -