Correlations between record events in sequences of random variables with a linear trend

Autor:	Wergen, Gregor, Franke, Jasper, Krug, Joachim
Rok vydání:	2011
Předmět:	Condensed Matter - Statistical Mechanics Mathematics - Probability Physics - Data Analysis Statistics and Probability
Zdroj:	Journal of Statistical Physics 144 (2011) 1206-1222
Druh dokumentu:	Working Paper
DOI:	10.1007/s10955-011-0307-7
Popis:	The statistics of records in sequences of independent, identically distributed random variables is a classic subject of study. One of the earliest results concerns the stochastic independence of record events. Recently, records statistics beyond the case of i.i.d. random variables have received much attention, but the question of independence of record events has not been addressed systematically. In this paper, we study this question in detail for the case of independent, non-identically distributed random variables, specifically, for random variables with a linearly moving mean. We find a rich pattern of positive and negative correlations, and show how their asymptotics is determined by the universality classes of extreme value statistics. Comment: 19 pages, 12 figures; some typos in Sections 3.1 and 3.3. corrected
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1105.3915 Zobrazit plný text záznamu View this record from Arxiv