A result regarding convergence of random logistic maps

Jack Jie Dai

Statistics & Probability Letters, 2000, vol. 47, issue 1, 11-14

Abstract: Let {Ci}[infinity]0 be i.i.d. random variables with values in [1,4]. Define random variables {Xn}[infinity]0 with values in [0,1] by Xn+1=CnXn(1-Xn). Then under some mild conditions, the probability distribution of Xn converges in variation norm.

Keywords: Random; logistic; maps; Recurrence; Exponentially; fast; convergence (search for similar items in EconPapers)
Date: 2000
References: View complete reference list from CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167-7152(99)00131-5
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:47:y:2000:i:1:p:11-14

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().