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Showing 1 to 2 of 2 for “"sequential order statistics"”.
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Point estimation with sequential order statistics from exponential distributions
The model of sequential order statistics is motivated by the structure of a k-out-of-n system. Such a system consists of n components and is intact, if at least k or more components work. The lifetime of a k-out-of-n system is described by the (n-k+1)-th ordinary order statistic. In modeling a …
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Markovian simple counting processes and models of ordered Random variables
… structure of pure birth processes and models of ordered random variables. We prove that the jump times of pure birth processes coincide (in distribution) with Pfeifers record values (record values where the distribution of the underlying random variables may change after each record) and …