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Biometrika 1980 67(2):470-474; doi:10.1093/biomet/67.2.470
© 1980 by Biometrika Trust
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MISCELLANEA

Maximum likelihood estimation of a distribution function with increasing failure rate based on censored observations

W. J. PADGETT and L. J. WEI

Department of Mathematics, Computer Science, and Statistics University of South Carolina Columbia

The maximum likelihood estimator of a distribution function with increasing failure rate is derived based on a set of observations subject to arbitrary right censorship. This estimator is defined everywhere on the positive real line while the Kaplan-Meier estimator may not be. The small sample properties of this estimator are indicated by results of a Monte Carlo study for the Weibull distribution.

Key Words: Life testing • Product-limit estimator • Right censorship


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