On Generalized Order Statistics from Exponential Distribution
نویسنده
چکیده
Let X be a non-negative random variable (r.v.) with cumulative distribution function (cdf) F. Suppose X(r, n,m, k), (r = 1, 2, . . . , n), m is a real number and k ≥ 1, is the rth smallest generalized order statistic. Several distributional properties of the generalized order statistics from exponential distribution are given. Some characterizations of the exponential distribution based on the generalized order statistics are presented.
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