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Published online by Cambridge University Press: 14 July 2016
Given independent random variables X 1,…,X n , with continuous distributions F 1,…,F n , we investigate the order in which these random variables should be arranged so as to minimize the number of upper records. We show that records are stochastically minimized if the sequence F 1,…,F n decreases with respect to a partial order, closely related to the monotone likelihood ratio property. Also, the expected number of records is shown to be minimal when the distributions are comparable in terms of a one-sided hazard rate ordering. Applications to parametric models are considered.
Partial funding provided by grants FONDECYT and FONDAP in Applied Mathematics.