Showing papers by "Lars Holst published in 2011"
TL;DR: In this article, the number of strings of two consecutive records interrupted by a given number of non-records is investigated in an infinite sequence of independent identically distributed continuous random variables, and it is shown that these counts are independent and Poisson distributed.
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.
7 citations
TL;DR: A novel analytical formulation of the expected longest length probe sequence is introduced that does not require a recursive computation and can be easily implemented in a symbolic computation tool.
4 citations