A note on records in a random sequence |
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Authors: | Lars Holst |
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Institution: | 1.Department of Mathematics,Royal Institute of Technology,Stockholm,Sweden |
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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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Keywords: | |
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