On a Generalization of the Positive Exponential Family of Distributions and the Estimation of Reliability Characteristics

A generalization of positive exponential family of distributions developed by Liang (2008) is taken into consideration. Its properties are studied. Two measures of reliability are discussed. Uniformly minimum variance unbiased estimators (UMVUES), maximum likelihood estimators (MLES) and method of m...

Full description

Saved in:
Bibliographic Details
Published in:Statistica (Bologna) 2020-01, Vol.80 (1), p.57-77
Main Authors: Kumar, Surinder, Chaturvedi, Aditi
Format: Article
Language:English
Subjects:
generalized positive exponential family
mle
mme
Random variables
reliability
umvue
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A generalization of positive exponential family of distributions developed by Liang (2008) is taken into consideration. Its properties are studied. Two measures of reliability are discussed. Uniformly minimum variance unbiased estimators (UMVUES), maximum likelihood estimators (MLES) and method of moment estimators (MMES) are developed for the reliability functions. The performances of three types of estimators are compared through Monte Carlo simulation. Real life data sets are also analyzed.
ISSN:0390-590X
1973-2201
DOI:10.6092/issn.1973-2201/8638