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A note on records in a random sequence
Authors:Lars Holst
Institution:1.Department of Mathematics,Royal Institute of Technology,Stockholm,Sweden
Abstract:In an infinite sequence of independent identically distributed continuous random variables we study the number of strings of two subsequent records interrupted by a given number of non-records. By embedding in a marked Poisson process we prove that these counts are independent and Poisson distributed. Also the distribution of the number of uninterrupted strings of records is considered.
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