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Problem statement: Moments of order statistics of independent non-identically distributed&#13; (INID) random variables is not an easy subject to deal with for continuous distributions. One is forced&#13; to use messy algebraic calculations (whether one uses permanents or not). This was the motivation&#13; behind this study. In this study the moments of order statistics arising from independent nonidentically&#13; distributed three parameters Beta type I distribution and Erlang Truncated Exponential distribution&#13; were derived. Approach: We employed an easier technique established by Barakat & Abdelkader will&#13; be referred to as (BAT). Results: The mean, the second moment and the variance of the median and&#13; the smallest order statistics for the first distribution were given for different values of the shape&#13; parameter and different sample sizes. Conclusion: The results can be used to make some inferences&#13; and used the BAT technique to derive moments of order statistics arising from independent&#13; nonidentically distributed for any other continuous distribution with distribution function (cdf) in the&#13; form: F ( x )= 1-l ( x )

Moments of Order Statistics from Nonidentically Distributed Three Parameters Beta typeI and Erlang Truncated Exponential Variables