Optimality of Bayesian Estimators: A Comparative Study Based on Exponential Progressive Type II Censored Data

Posted: 9 Nov 2018

See all articles by Ma'mon Abu Hammad

Ma'mon Abu Hammad

Al-Zaytoonah University of Jordan

Salemah A. Almutlak

Saudi Electronic University

Adnan M. Awad

The University of Jordan

Date Written: July 1, 2018

Abstract

The paper investigates estimation problem of the parameter of exponential distribution. The maximum likelihood (ML) estimator and Bayesian estimators are obtained based on eight sampling schemes, six families of prior distributions, and seven classes of loss functions. The estimators are compared based on absolute relative error, standard deviation, mean square error, relative error, loss, risk, and Pitman closeness. The main objective is to select the loss function that yields an optimal estimator and optimal sampling scheme within a given class of estimators.

Keywords: Censoring Schemes, Bayes Estimators, Loss Functions, Pitman Closeness, Exponential Distribution

Suggested Citation

Abu Hammad, Ma'mon and A. Almutlak, Salemah and M. Awad, Adnan, Optimality of Bayesian Estimators: A Comparative Study Based on Exponential Progressive Type II Censored Data (July 1, 2018). Proceedings of International Conference on Fractional Differentiation and its Applications (ICFDA) 2018. Available at SSRN: https://ssrn.com/abstract=3281360

Ma'mon Abu Hammad

Al-Zaytoonah University of Jordan ( email )

Amman
Jordan

Salemah A. Almutlak (Contact Author)

Saudi Electronic University ( email )

JEDDAH, AR Ar Riyadh 1161
Saudi Arabia

Adnan M. Awad

The University of Jordan ( email )

Amman, Amman 11942
Jordan

Register to save articles to
your library

Register

Paper statistics

Abstract Views
26
PlumX Metrics