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Efficient Computation of Probabilities of Events Described by Order Statistics and Application to a Problem of Queues

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dc.creator Jones, Lee K.
dc.creator Larson, Richard C., 1943-
dc.date 2004-05-28T19:25:46Z
dc.date 2004-05-28T19:25:46Z
dc.date 1991-05
dc.date.accessioned 2013-10-09T02:38:02Z
dc.date.available 2013-10-09T02:38:02Z
dc.date.issued 2013-10-09
dc.identifier http://hdl.handle.net/1721.1/5159
dc.identifier.uri http://koha.mediu.edu.my:8181/xmlui/handle/1721
dc.description Consider a set of N i.i.d. random variables in [0, 1]. When the experimental values of the random variables are arranged in ascending order from smallest to largest, one has the order statistics of the set of random variables. In this note an O(N3) algorithm is developed for computing the probability that the order statistics vector lies in a given rectangle. The new algorithm is then applied to a problem of statistical inference in queues. Illustrative computational results are included.
dc.format 487497 bytes
dc.format application/pdf
dc.language en_US
dc.publisher Massachusetts Institute of Technology, Operations Research Center
dc.relation Operations Research Center Working Paper;OR 249-91
dc.subject Order statistics, queues, statistical inference, queue inference engine.
dc.title Efficient Computation of Probabilities of Events Described by Order Statistics and Application to a Problem of Queues
dc.type Working Paper


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