Statistical Inference for Topp–Leone-generated Family of Distributions Based on Records
- 10.2991/jsta.d.190306.008How to use a DOI?
- Topp–Leone-generated family of distributions; ML estimators; Bayesian inference; symmetric loss function; asymmetric loss function; Bayes estimators; reliability function
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. . 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.
- © 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/).
Cite this article
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 -