Intersection of random sequences
type: Item
instance of: scholarly article
title: Intersection of random sequences
zbMATH Open document ID: 0625.60106
DOI: 10.1007/BF01159711
author: G. P. Klimov
author: V. F. Matveev
published in: Mathematical Notes
publication date: 1986-01-01T00:00:00Z
review text: Intersection of two random sequences is defined as a couple of identically distributed elements each belonging to a different sequence. A concept of a random sequence \(u_ n\) controlled by a random sequence \(v_ n\) is also introduced. Properties of different equivalent control sequences are investigated in terms of properties of their intersections. In particular, \textit{H. Thorisson}'s result [Adv. Appl. Probab. 15, 531- 561 (1983; Zbl 0512.60080)] concerning coupling of regenerative processes is generalized and interpreted by means of the intersection concept.
Mathematics Subject Classification ID: 60K15
Mathematics Subject Classification ID: 60J10
zbMATH DE Number: 4015886
zbMATH Keywords: Intersection of two random sequences
zbMATH Keywords: coupling of regenerative processes
MaRDI profile type: Publication
cites work: Q3729763
cites work: The coupling of regenerative processes
cites work: Q3268576
full work available at URL: https://doi.org/10.1007/bf01159711
OpenAlex ID: W2059621191
description: scientific article; zbMATH DE number 4015886