Reverse processes and some limit theorems of multitype Galton-Watson processes

Tetsuo Nakagawa

Journal of Multivariate Analysis, 1982, vol. 12, issue 2, 161-177

Abstract: We classify the reverse process {Xn} of a multitype Galton-Watson process {Zn}. In the positive recurrent cases we give the stationary measure for {Xn} explicitly, and in the critical case, supposing that all the second moments of Z1 are finite, we establish the convergence in law to a gamma distribution. Limit distributions of {Zcn}, 0

Keywords: Reverse; process; multitype; Galton-Watson; process; positively; regular; stationary; measure (search for similar items in EconPapers)
Date: 1982
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0047-259X(82)90012-4
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:jmvana:v:12:y:1982:i:2:p:161-177

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

Journal of Multivariate Analysis is currently edited by de Leeuw, J.

More articles in Journal of Multivariate Analysis from Elsevier
Bibliographic data for series maintained by Catherine Liu ().