Estimation and Testing procedures for the Reliability functions of Exponentiated distributions under censorings

Ajit Chaturvedi, Shantanu Vyas


Exponentiated distributions are considered. Two measures of reliability are considered, R(t)=P(X>t) and P=P(X>Y). Point estimation and testing procedures are developed for different parametric functions under Type II and Type I censoring. Uniformly minimum variance unbiased estimators (UMVUES) and maximum likelihood estimators (MLES) are derived. A new technique of obtaining these estimators is introduced.


Exponentiated distributions; Point estimation; Testing procedures; Type I and Type II censoring

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DOI: 10.6092/issn.1973-2201/6347