A new view of the maximum likelihood estimator (MLE) of exponential scale for censored data is presented. This is done by adapting Reid's (Ann. Statist. 9 (1981) 78) approach for obtaining the two in uence functions (IF) for the Kaplan-Meier estimate of the survival function; one for uncensored and
On the invariant estimation of an exponential scale using doubly censored data
β Scribed by Mohamed T. Madi
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 87 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0167-7152
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β¦ Synopsis
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 (BAEE) of Γ is inadmissible. A smoother dominating procedure is proposed. The new improved estimator is shown, via a numerical study, to provide more signiΓΏcant risk reductions over the BAEE.
π SIMILAR VOLUMES
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 t