One-Order-Statistic Estimation of the Scale Parameters of Weibull Populations |
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Authors: | Moore A H Harter H L |
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Affiliation: | Air Force Institute of Technology and Aerospace Lab., Wright-Patterson Air Force Base, Dayton, Ohio.; |
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Abstract: | This paper calculates the minimum-variance unbiased one-order-statistic estimator of the parameter of a one-parameter exponential population. The estimator is given for N = 2(1)20 along with its efficiency with respect to an unbiased M-order-statistic estimator for a sample of N items which is truncated after M items have failed. Furthermore, it is shown that by using the estimator for exponential populations one can obtain a consistent estimator for the scale parameter of Weibull populations with any known shape parameter and with ## location parameter zero. A section on the use of the tabled data and a numerical example are included. |
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