Galton–Watson Theta-Processes in a Varying Environment

Sagitov Serik () and Zhumayev Yerakhmet ()
Additional contact information
Sagitov Serik: Department of Mathematical Sciences, [11248]Chalmers University of Technology; and the University of Gothenburg, Gothenburg, Sweden
Zhumayev Yerakhmet: Department of Mathematics, [112657]L. N. Gumilev Eurasian National University, Astana, Kazakhstan

Stochastics and Quality Control, 2024, vol. 39, issue 1, 25-39

Abstract: We consider a special class of Galton–Watson theta-processes in a varying environment fully defined by four parameters, with two of them ( θ , r ) {(\theta,r)} being fixed over time n, and the other two ( a n , c n ) {(a_{n},c_{n})} characterizing the altering reproduction laws. We establish a sequence of transparent limit theorems for the theta-processes with possibly defective reproduction laws. These results may serve as a stepping stone towards incisive general results for the Galton–Watson processes in a varying environment.

Keywords: Branching Process; Varying Environment; Limit Theorem (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1515/eqc-2024-0001 (text/html)
For access to full text, subscription to the journal or payment for the individual article is required.

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:bpj:ecqcon:v:39:y:2024:i:1:p:25-39:n:1002

Ordering information: This journal article can be ordered from
https://www.degruyter.com/journal/key/eqc/html

DOI: 10.1515/eqc-2024-0001

Access Statistics for this article

Stochastics and Quality Control is currently edited by George P. Yanev

More articles in Stochastics and Quality Control from De Gruyter
Bibliographic data for series maintained by Peter Golla ().