TY - JOUR
T1 - Comparison between Frequentist Test and Bayesian Test to Variance Normal in the Presence of Nuisance Parameter: One-sided and Two-sided Hypothesis
TT - مقایسه آزمون بیزی و بسامدی برای پارامتر واریانس توزیع نرمال در حضور پارامتر مزاحم، در حالات دوطرفه و یکطرفه
JF - khu-mmr
JO - khu-mmr
VL - 2
IS - 2
UR - http://mmr.khu.ac.ir/article-1-2583-en.html
Y1 - 2016
SP - 23
EP - 38
KW - P-value
KW - nuisance parameter
KW - lower bound of posterior probability
N2 - This article is concerned with the comparison P-value and Bayesian measure for the variance of Normal distribution with mean as nuisance paramete. Firstly, the P-value of null hypothesis is compared with the posterior probability when we used a fixed prior distribution and the sample size increases. In second stage the P-value is compared with the lower bound of posterior probability when the prior distribution is belonged to a class of reasonable distributions. It was shown that even for fixed sample size the P-value is less than the lower bound. This is not the case for one-sided hypothesis. There is a reconcilability between these two criterion.
M3 10.29252/mmr.2.2.23
ER -