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

Abstract

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.

Keywords

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