Statistical Inference for Topp–Leone-generated Family of Distributions Based on Records

DOI

10.2991/jsta.d.190306.008How to use a DOI?

Keywords

Topp–Leone-generated family of distributions; ML estimators; Bayesian inference; symmetric loss function; asymmetric loss function; Bayes estimators; reliability function

Abstract

In this paper, we consider a general family of distributions generated by Topp–Leone distribution (known as TL family of distributions) proposed by Rezaei et al. [1]. We consider the problem of estimation of the shape parameter, scale parameter, and reliability function based on record data from TL family of distributions. We derive the maximum likelihood estimator (MLE) for shape parameter, scale parameter, and reliability function. We have also obtained UMVUE (uniformly minimum-variance unbiased estimator) for reliability function when scale parameter is known. A Bayesian study is carried out under symmetric and asymmetric loss functions in order to find the Bayes estimators for unknown parameters and reliability function. Further, we have predicted future record values using Bayesian approach. A numerical comparison of various estimators is also reported.

Copyright

© 2019 The Authors. Published by Atlantis Press SARL.

Open Access

This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Mohd Arshad
AU  - Qazi Azhad Jamal
PY  - 2019
DA  - 2019/04/22
TI  - Statistical Inference for Topp–Leone-generated Family of Distributions Based on Records
JO  - Journal of Statistical Theory and Applications
SP  - 65
EP  - 78
VL  - 18
IS  - 1
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.190306.008
DO  - 10.2991/jsta.d.190306.008
ID  - Arshad2019
ER  -