exponential distribution | An-Najah Staff

Shrinkage Estimators for Reliability Function

Thu, 2013-04-04 10:50 — Mohammed Qabaha

Journal Title, Volume, Page:

An-Najah Univ. J.Res.(N.Se)Vol .27, p141-151

Year of Publication:

2013

Link:

http://scholar.najah.edu/publication/journal-article/shrinkage-estimators-reliab...

Authors:

Mohammad Qabaha

Department of Mathematics, Faculty of Science, An-Najah National University, Palestine

Current Affiliation:

Department of Statistics, Faculty of Science, An-Najah National University , Nablus, Palestine

[email protected]

Preferred Abstract (Original):

A variety of shrinkage methods for estimating unknown parameters has been considered. We derive and compare the shrinkage estimators for the reliability function of the two-parameter exponential distribution. Simulation experiments are used to study the performances of these estimators.

Ordinary and Bayesian Shrinkage Estimation

Thu, 2013-04-04 10:47 — Mohammed Qabaha

Journal Title, Volume, Page:

An-Najah Univ. J.Res.(N.Se)Vol .21, 101-116

Year of Publication:

2007

Link:

http://scholar.najah.edu/publication/journal-article/ordinary-and-bayesian-shrin...

Authors:

Mohammad Qabaha

Department of Mathematics, Faculty of Science, An-Najah National University, Palestine

Current Affiliation:

Department of Statistics, Faculty of Science, An-Najah National University, Nablus, Palestine

[email protected]

Preferred Abstract (Original):

In this paper a variety of shrinkage methods for estimating unknown population parameters has been considered. Aprior distribution for the parameters around their natural origins has been postulated and the ordinary Bayes estimators are used in place of natural origins in the ordinary shrinkage estimators to obtain Bayesian shrinkage estimators. The results are applied to the problem of estimating the location and scale parameters and the reliability function of the two-parameter exponential distribution. Simulation experiments are used to study the performances of these estimators.