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

• DOI: 10.6092/issn.1973-2201/8638
• Publication Date: 2020-06-01
• Authors: Surinder Kumar; Aditi Chaturvedi
• Keywords: generalized positive exponential family; reliability; Generalized positive exponential family; MLE; MME; Reliability; UMVUE; Statistics; umvue; 0211 other engineering and technologies; mle; mme; 02 engineering and technology; HA1-4737

A generalization of positive exponential family distributions developed by Liang (2008) is taken into consideration. Its properties are studied. Two measures reliability discussed. Uniformly minimum variance unbiased estimators (UMVUES), maximum likelihood (MLES) and method moment (MMES) for the functions. The performances three types compared through Monte Carlo simulation. Real life data sets also analyzed.