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A note on records in a random sequence
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2011 (English)In: Arkiv för matematik, ISSN 0004-2080, E-ISSN 1871-2487, Vol. 49, no 2, 351-356 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2011. Vol. 49, no 2, 351-356 p.
Keyword [en]
BERNOULLI SEQUENCES, CONSECUTIVE RECORDS, POISSON PROCESSES, NUMBER, STRINGS, COUNTS
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-39006DOI: 10.1007/s11512-010-0131-3ISI: 000294009900008Scopus ID: 2-s2.0-80051814434OAI: oai:DiVA.org:kth-39006DiVA: diva2:439257
Available from: 2011-09-07 Created: 2011-09-06 Last updated: 2017-12-08Bibliographically approved

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