Estimation and Testing Procedures for the Reliability Functions of Three Parameter Burr Distribution under Censorings

Abstract

Athree parameter Burr distribution is considered. Two measures of reliability are discussed. Point and interval estimation procedures are developed for the parameters, and reliability functions under type II and type I censoring. Two types of point estimators namely- uniformly minimum variance unbiased estimators (UMVUES) and maximum likelihood estimators (MLES) are derived. Asymptotic variance-covariance matrix and confidence intervals for MLE’s are obtained. Testing procedures are also developed for various hypotheses.

Keywords

• Three parameter Burr distribution
• Point estimation
• Interval estimation
• Type-II and type-I censoring
• Testing of hypotheses