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* Address correspondence to this author at Department of Statistics & Operations Research Faculty of Science, Kuwait University, Safat 13060, Kuwait; Tel: +965 66655671; E-mail: eealy50@gmail.com the X's, Van Assche [1] obtained the exact distribution of S2 (1, 1,1, F). Johnson and Kotz [2] studied some generalizations of Van Assche results. Soltani and Homei [3] considered the finite sample distribution of Sn (1,1,1, F). Soltani and Roozegar [4] considered the finite sample distribution of a case similar to Sm (1,k,1, F) in which the spacings (1) are not equally spaced. It is interesting to note that Sm (t,k,r, F) of (2) is also a randomly weighted partial sum of powers of k-spacings from the U(0,1) distribution. Here, we will obtain the asymptotic distribution of the stochastic process

On The Distribution of Partial Sums of Randomly Weighted Powers of Uniform Spacings