Hypothesis testing of the location and scale parameters using order statistics
An asymptotically most powerful test of the null hypothesis H0: [mu] = [mu]0, [sigma] = [sigma]0 versus the alternative hypothesis H1: [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.
Year of publication: |
1984
|
---|---|
Authors: | Cheng, Smiley W. |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 2.1984, 4, p. 207-210
|
Publisher: |
Elsevier |
Keywords: | order statistics noncentral chi-squared distribution asymptotically best linear unbiased estimate |
Saved in:
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