A note on records in a random sequence

Lars Holst

doi:10.1007/s11512-010-0131-3

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Home > Journals > Ark. Mat. > Volume 49 > Issue 2 > Article

October 2011 A note on records in a random sequence

Lars Holst

Author Affiliations +

Lars Holst¹
¹Department of Mathematics, Royal Institute of Technology

Ark. Mat. 49(2): 351-356 (October 2011). DOI: 10.1007/s11512-010-0131-3

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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.