Abstract
A life distribution F is an increasing failure rate average (IFRA) if For testing H0: F is exponential, versus H1 F is IFRA, but not exponential based on randomly censored data, we propose a test statistics where is the KAPLAN–MIEER Product limit estimator of F. The asymptotic normality of Jn c(b) is established and an asymptotically distribution – free test is obtained. /The efficiency loss due to ocensoring is studied compared to DESHPANDE'S (1983) test uncensored case. The asymptotic relati ve efficiency with respect to CHEN,HOLLANDER AND LANGBERG'S (1983) test is shoen to be reasonably high
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