An Approximation to the Negative Moments of the Positive Binomial Useful in Life Testing
- 1 May 1960
- journal article
- research article
- Published by JSTOR in Technometrics
- Vol. 2 (2) , 227
- https://doi.org/10.2307/1266547
Abstract
The purpose of this paper is to obtain the mean and variance of the maximum likelihood estimator of the scale parameter of a Weibull distribution where the sample is censored at a fixed time. It will be shown that these moments are functions of the negative moments of the positive binomial distribution. A simple approximation is obtained for the negative moments of the positive binomial, thus giving an approximate expression for the mean and variance of the estimator.Keywords
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