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

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  • T. Madi, Mohamed

Abstract

We consider the problem of estimating the scale parameter [theta] 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 affine equivariant estimator (BAEE) of [theta] is inadmissible. A smoother dominating procedure is proposed. The new improved estimator is shown, via a numerical study, to provide more significant risk reductions over the BAEE.

Suggested Citation

  • T. Madi, Mohamed, 2002. "On the invariant estimation of an exponential scale using doubly censored data," Statistics & Probability Letters, Elsevier, vol. 56(1), pages 77-82, January.
    • Handle: RePEc:eee:stapro:v:56:y:2002:i:1:p:77-82
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    References listed on IDEAS

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    1. Elfessi, Abdulaziz, 1997. "Estimation of a linear function of the parameters of an exponential distribution from doubly censored samples," Statistics & Probability Letters, Elsevier, vol. 36(3), pages 251-259, December.
    2. Mohamed Madi & Kam-Wah Tsui, 1990. "Estimation of the ratio of the scale parameters of two exponential distributions with unknown location parameters," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 42(1), pages 77-87, March.
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    Cited by:

    1. Madi, Mohamed T., 2008. "Improved estimation of an exponential scale ratio based on records," Statistics & Probability Letters, Elsevier, vol. 78(2), pages 165-172, February.

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