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Equivariant estimation of common location parameter of two exponential populations using censored samples

Year 2016, Volume: 45 Issue: 4, 1307 - 1320, 01.08.2016

Abstract

In this paper, we consider the problem of estimating common location
parameter of two exponential populations using type-II censored sam-
ples when the scale parameters are unknown. The loss function is taken
as the quadratic loss. First, we derive a class of ane equivariant esti-
mators, which includes the maximum likelihood estimator (MLE) and
the uniformly minimum variance unbiased estimator (UMVUE). A suf-
cient condition for improving estimators in the class is derived. Con-
sequently, estimators dominating the MLE and the UMVUE in terms
of the risk values are obtained. An example is given to compute the
estimates using our result. Finally a simulation study has been carried
out to numerically compare the risk functions of all the estimators.

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Year 2016, Volume: 45 Issue: 4, 1307 - 1320, 01.08.2016

Abstract

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There are 2 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Statistics
Authors

Manas Ranjan Tripathy This is me

Publication Date August 1, 2016
Published in Issue Year 2016 Volume: 45 Issue: 4

Cite

APA Tripathy, M. R. (2016). Equivariant estimation of common location parameter of two exponential populations using censored samples. Hacettepe Journal of Mathematics and Statistics, 45(4), 1307-1320.
AMA Tripathy MR. Equivariant estimation of common location parameter of two exponential populations using censored samples. Hacettepe Journal of Mathematics and Statistics. August 2016;45(4):1307-1320.
Chicago Tripathy, Manas Ranjan. “Equivariant Estimation of Common Location Parameter of Two Exponential Populations Using Censored Samples”. Hacettepe Journal of Mathematics and Statistics 45, no. 4 (August 2016): 1307-20.
EndNote Tripathy MR (August 1, 2016) Equivariant estimation of common location parameter of two exponential populations using censored samples. Hacettepe Journal of Mathematics and Statistics 45 4 1307–1320.
IEEE M. R. Tripathy, “Equivariant estimation of common location parameter of two exponential populations using censored samples”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 4, pp. 1307–1320, 2016.
ISNAD Tripathy, Manas Ranjan. “Equivariant Estimation of Common Location Parameter of Two Exponential Populations Using Censored Samples”. Hacettepe Journal of Mathematics and Statistics 45/4 (August 2016), 1307-1320.
JAMA Tripathy MR. Equivariant estimation of common location parameter of two exponential populations using censored samples. Hacettepe Journal of Mathematics and Statistics. 2016;45:1307–1320.
MLA Tripathy, Manas Ranjan. “Equivariant Estimation of Common Location Parameter of Two Exponential Populations Using Censored Samples”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 4, 2016, pp. 1307-20.
Vancouver Tripathy MR. Equivariant estimation of common location parameter of two exponential populations using censored samples. Hacettepe Journal of Mathematics and Statistics. 2016;45(4):1307-20.