Hypothesis testing of the location and scale parameters using order statistics
type: Item
instance of: scholarly article
title: Hypothesis testing of the location and scale parameters using order statistics
zbMATH Open document ID: 0551.62016
DOI: 10.1016/0167-7152(84)90016-6
author: Smiley W. Cheng
published in: Statistics \& Probability Letters
publication date: 1984-01-01T00:00:00Z
review text: An asymptotically most powerful test of the null hypothesis \(H_ 0: \mu =\mu_ 0\), \(\sigma =\sigma_ 0\) versus the alternative hypothesis \(H_ 1: \mu =\mu_ 1\), \(\sigma =\sigma_ 1\) using a few selected order statistics is derived in this paper. The order statistics are chosen from a large complete or censored (singly-censored, doubly-censored, or multiply-censored) sample taken from a distribution with probability density function of the form (1/\(\sigma)\)f[(X-\(\mu)\)/\(\sigma\) ], where \(\mu\) and \(\sigma\) are location and scale parameters, respectively.
Mathematics Subject Classification ID: 62F03
Mathematics Subject Classification ID: 62G10
zbMATH DE Number: 3878154
zbMATH Keywords: noncentral chi-squared distribution
zbMATH Keywords: asymptotically best linear unbiased estimate
zbMATH Keywords: censoring
zbMATH Keywords: asymptotically most powerful test
zbMATH Keywords: selected order statistics
MaRDI profile type: Publication
full work available at URL: 0167-7152(84)90016-6
OpenAlex ID: W2088694998
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description: scientific article; zbMATH DE number 3878154