On shrunken estimators for exponential scale parameter

Kambo, N.S.; Handa, B. R.; Al-Hemyari, Zuhair A.

doi:10.1016/0378-3758(90)90019-q

Cited by 13 publications

(7 citation statements)

References 7 publications

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“…i) It is observed from our computations given in tables [9][10][11][12][13][14][15][16] iii) It is observed from our computations given in tables 7-12 for fixed and c that the relative efficiency of …”

Section: Simulation and Numerical Resultsmentioning

confidence: 49%

A class of shrinkage estimators for the shape parameter of the Weibull lifetime model

Al-Hemyari

Al-Dabag²

2012

Pak.j.stat.oper.res.

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In this paper, we propose two classes of shrinkage estimators for the shape parameter of the Weibull distribution in censored samples. The proposed estimators are studied theoretically and have been compared numerically with existing estimators. Computer intensive calculations for bias and relative efficiency show that for, different values of levels of significance and for varying constants involved in the proposed estimators, the proposed testimators fare better than classical and existing estimators.

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Section: Simulation and Numerical Resultsmentioning

confidence: 49%

A class of shrinkage estimators for the shape parameter of the Weibull lifetime model

Al-Hemyari

Al-Dabag²

2012

Pak.j.stat.oper.res.

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“…The prior guess value or the initial estimate u 0 of the unknown parameter (u [8][9][10][11][12][13][14] ) may arise for any of the following reasons:…”

Section: Incorporating a Guess Value And Preliminary Test Shrunkenmentioning

confidence: 99%

“…Several authors have studied the PTS estimator for the parameter u of exponential distribution or normal distributions for complete, type I and type II censored data by choosing different k and R. 9,[11][12][13][17][18][19][20][21][22][23][24] One may refer to Al-Hemyari and Husain, 15 Al-Hemyari et al, 16 Chiou 18 and Al-Hemyari and Al-Dolami 25 for further discussions and in different directions.…”

Section: Incorporating a Guess Value And Preliminary Test Shrunkenmentioning

confidence: 99%

Two modified estimators of reliability function with exponential failure model based on prior information and time-censored data

Al-Hemyari

Al-Dolami

2014

Proceedings of the Institution of Mechanical Engineers, Part O:

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In this article, we have assumed that the observations are carried out for a period of time T, and when a unit failed, it was replaced with a new identical unit. We have considered the exponential distribution of failure, and we have proposed two estimators of reliability function (R(t)) by using time-censored data when a prior value (uncertain prior information) about the unknown parameter (u) was previously available. The expressions for the bias, risk and relative efficiency were obtained. The investigation concerning the improvement of the proposed estimators of R(t) on the bases of the criterion of bias ratio, risk and relative efficiency under different cases showed that the proposed estimators were better than the classical estimators. The conclusions, concluding remarks and limitations were then reported.

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“…[25] showed that the non-optimality of preliminary test estimator for mean in normal, binomial and Poisson distribution. [14] proposed shrinkageestimator for the mean in an exponential distribution under type II censoring data. [2] extended the above estimator tomean ()in an exponential distribution by acceptance region of uniformly most powerful test with a level of significance (for testing the hypothesis .…”

Section: Introductionmentioning

confidence: 99%

Preliminary Test Estimation and Shrinkage Preliminary Test Estimation in Normal and Negative Exponential Distribution Using Linex Loss Function

Singh¹

2015

IJSCMC

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In statistical estimation procedure prior information regarding the unknown value of parameter is utilizing and it may result in a decrease of sampling variability of the estimator or it may save sample size which is desirable in many estimation procedures. The commonly used approaches in statistical inference which utilize prior information are Bayesian approach, preliminary test procedure and shrinkage estimation. The paper proposes preliminary test estimator and shrinkage preliminary test estimator for the variance in normal distribution and studies its property under Linex loss function. The paper also proposes and suggests shrinkage preliminary test estimator for the variance in negative exponential distribution and studies its property under Linex loss function.

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On shrunken estimators for exponential scale parameter

Cited by 13 publications

References 7 publications

A class of shrinkage estimators for the shape parameter of the Weibull lifetime model

A class of shrinkage estimators for the shape parameter of the Weibull lifetime model

Two modified estimators of reliability function with exponential failure model based on prior information and time-censored data

Preliminary Test Estimation and Shrinkage Preliminary Test Estimation in Normal and Negative Exponential Distribution Using Linex Loss Function

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