Publication: On stochastic properties between some ordered random variables
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2011-04
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Abstract
A great number of articles have dealt with stochastic comparisons of ordered random
variables in the last decades. In particular, distributional and stochastic properties of
ordinary order statistics have been studied extensively in the literature. Sequential order
statistics are proposed as an extension of ordinary order statistics. Since sequential order
statistics models unify various models of ordered random variables, it is interesting to
study their distributional and stochastic properties. In this work, we consider the
problem of comparing sequential order statistics according to magnitude and location
orders.
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Stochastic orderings, Reliability, Order statistics