Estimating an Exponential Scale Parameter Under Double Censoring

Yogesh Mani Tripathi; Constantinos Petropoulos; Farha Sultana

doi:10.1007/s40304-018-0144-y

Communications in Mathematics and Statistics ›› 2019, Vol. 7 ›› Issue (3) : 309 -328. DOI: 10.1007/s40304-018-0144-y

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Estimating an Exponential Scale Parameter Under Double Censoring

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Abstract

We consider estimation of the scale parameter of a two-parameter exponential distribution on the basis of doubly censored data. Classes of estimators, improving upon the minimum risk equivariant estimator, are derived under an arbitrary strictly convex loss function. Some existing dominating procedures are shown to belong to the proposed classes of estimators.

Keywords

Brewster–Zidek estimator / Censored samples / Equivariant estimator / Inadmissibility / Stein-type estimator

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Yogesh Mani Tripathi,Constantinos Petropoulos,Farha Sultana. Estimating an Exponential Scale Parameter Under Double Censoring. Communications in Mathematics and Statistics, 2019, 7(3): 309-328 DOI:10.1007/s40304-018-0144-y