ScholarLens Back to search
2016•SSRN Electronic JournalOpen access

Bayesian Estimation for the Reliability Function of Pareto Type I Distribution Under Generalized Square Error Loss Function

Huda Abdullah, Najam A. Aleawy Al-Gazi

Open full text 5 citations

Abstract

The main objective of this study is to obtain and compare the performance of the standard Bayesian estimators of the reliability function R(t) of the Pareto type I distribution under Generalized square error loss function in addition of Quadratic loss function, with informative and non-informative prior, with assuming that, the scale parameter, α, is known. Estimators are compared empirically using Monte Carlo simulation by employing the Integral mean squares error (IMSE).

About this research paper

What this paper is about

The main objective of this study is to obtain and compare the performance of the standard Bayesian estimators of the reliability function R(t) of the Pareto type I distribution under Generalized square error loss function in addition of Quadratic loss function, with informative and non-informative prior, with assuming that, the scale parameter, α, is known. Estimators are compared empirically using Monte Carlo simulation by employing the Integral mean squares error (IMSE).

Why it matters

OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The main objective of this study is to obtain and compare the performance of the standard Bayesian estimators of the reliability function R(t) of the Pareto type I distribution under Generalized square error loss function in addition of Quadratic loss function, with informative and non-informative prior, with assuming that, the scale parameter, α, is known. Estimators are compared empirically using Monte Carlo simulation by employing the Integral mean squares error (IMSE).

Key concepts: Estimator, Mathematics, Mean squared error, Bayes estimator, Statistics, Applied mathematics, Function (biology), Lomax distribution

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Bayesian Estimation for the Reliability Function of Pareto Type I Distribution Under Generalized Square Error Loss Function — Research Paper | ScholarLens