Some Results on Truncated Moments of Order Statistics : An Application on Weibull and Power Function Distribution

In this work we find the moments of doubly truncated distribution of order statistics through sampling from an exponential distribution. Some recurrence relations are developed. Corollaries are dawn from these results for left and right truncated distribution of order statistics. These results and some additional results found are useful for characterization of an exponential distribution. Further results are derived on doubly truncated moments of order statistics. These results are applied to Weibull Distribution in section A and Power Function Distribution in Section B. The Skewness and Kurtosis of Order random variable of these distribution also derived graphically.