A note on records in a random sequence

作者:Holst Lars*
来源:Arkiv for Matematik, 2011, 49(2): 351-356.
DOI:10.1007/s11512-010-0131-3

摘要

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.

  • 出版日期2011-10