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Estimation of a linear function of the parameters of an exponential distribution from doubly censored samples

✍ Scribed by Abdulaziz Elfessi

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
336 KB
Volume
36
Category
Article
ISSN
0167-7152

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✦ Synopsis

In this paper improved estimators of the scale and its reciprocal, 0(0-1), and the location, #, of a two-parameter exponential distribution are given based on a doubly censored sample. Also the problem of estimating the linear function # + zO is considered, where z is a given constant. It is shown that the improved estimators are better than the best affine equivariant estimators.

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We consider the problem of estimating the scale parameter Γ‚ of the shifted exponential distribution with unknown shift based on a doubly censored sample from this distribution. Under squared error loss, Elfessi (Statist. Probab. Lett. 36 (1997) 251) has shown that the best a ne equivariant estimator