Properties of Order Statistics Based Upon the Three Parameter Weibull Distribution.

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Abstract:

This research is designed to develop a set of tables for the cumulative distribution of an order statistic for selected values of n, the sample size and k, the order statistic of interest. This sample size n will be a random sample drawn from a population based upon a three parameter Weibull probability density function. It will be assumed in this paper that the Weibull parameters are known. These tables also contain the median value of the order statistic. A computer program is developed to perform these calculations and also to plot the probability density function of the order statistic for selected values of n, k and beta.

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