𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the invariant estimation of an exponential scale using doubly censored data

✍ Scribed by Mohamed T. Madi


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
87 KB
Volume
56
Category
Article
ISSN
0167-7152

No coin nor oath required. For personal study only.

✦ 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.


πŸ“œ SIMILAR VOLUMES


The scaled Ξ±-Winsorized estimate of expo
✍ Mara Tableman; Alix I. Gitelman πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 137 KB

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

Estimation of a linear function of the p
✍ Abdulaziz Elfessi πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 336 KB

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