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

Yıl 2016, Cilt: 45 Sayı: 4, 1307 - 1320, 01.08.2016

Öz

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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Yıl 2016, Cilt: 45 Sayı: 4, 1307 - 1320, 01.08.2016

Öz

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Toplam 2 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm İstatistik
Yazarlar

Manas Ranjan Tripathy Bu kişi benim

Yayımlanma Tarihi 1 Ağustos 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 45 Sayı: 4

Kaynak Göster

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. Ağustos 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, sy. 4 (Ağustos 2016): 1307-20.
EndNote Tripathy MR (01 Ağustos 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, c. 45, sy. 4, ss. 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 (Ağustos 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, c. 45, sy. 4, 2016, ss. 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.