Bounds for mixtures of order statistics from exponentials and applications
This paper deals with the stochastic comparison of order statistics and their mixtures. For a random sample of size n from an exponential distribution with hazard rate [lambda], and for 1 0, such that , and let U and V be two random variables with the distribution functions and , respectively. Then, V is greater in the hazard rate order (or the usual stochastic order) than U if and only if , and V is smaller in the hazard rate order (or the usual stochastic order) than U if and only if [lambda]
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Volume (Year): 102 (2011)
Issue (Month): 5 (May)
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