Degeneracy Properties of Subcritical Branching Processes

Joshua Chover, Peter Ney, Stephen Wainger

Type: Article

Publication Date: 1973-08-01

Citations: 153

DOI: https://doi.org/10.1214/aop/1176996893

Abstract

This paper describes the limit behavior of sub-critical, age-dependent branching processes for which the Malthusian parameter does not exist.

Locations

The Annals of Probability - View - PDF

Similar Works

Action	Title	Year	Authors
+	Malthusian behaviour of the critical and subcritical age-dependent branching processes with arbitrary state space	1976	D. I. Saunders
+	Malthusian behaviour of the critical and subcritical age-dependent branching processes with arbitrary state space	1976	D. I. Saunders
+	A multi-dimensional age-dependent branching process—Subcritical case	1971	K. Aiyappan Nair Charles J. Mode
+	Asymptotic properties of supercritical age-dependent branching processes and homogeneous branching random walks	1999	Quansheng Liu
+ PDF Chat	The Nonexistence of the Yaglom Limit for An Age Dependent Subcritical Branching Process	1973	Thomas G. Kurtz Stephen Wainger
+ PDF Chat	Explosiveness of age-dependent branching processes	1974	D. R. Grey
+	Limit theorems for critical age-dependent nonhomogeneous branching processes	1978	V. A. Topchiĭ
+	Limiting behavior for age and position-dependent branching processes	1966	Howard E Conner
+	On higher moments of the population size in a subcritical branching process	1988	Eric Willekens
+	On higher moments of the population size in a subcritical branching process	1988	Eric Willekens
+	The non-degenerate limit for supercritical branching diffusions	1978	H. Hering
+ PDF Chat	Limiting Theorems for Age-Dependent Branching Processes	1998	Norman Levinson
+	Limit Theorems for Age-Dependent Branching Processes	1972	V. P. Chistyakov
+	A note on the subcritical generalized age-dependent branching process	1976	R. A. Doney
+	A note on the subcritical generalized age-dependent branching process	1976	R. A. Doney
+	The reducible multidimensional age-dependent branching processes	1971	K. Aiyappan Nair Charles J. Mode
+	Age-dependent branching processes	1963	T. E. Harris
+	Asymptotic behavior for supercritical branching processes	2023	Juan Wang Xueke Wang Junping Li
+	Correction: Asymptotic Probabilities in a Critical Age-Dependent Branching Process	1978
+ PDF Chat	Quasi-limiting behaviour of the sub-critical Multitype Bisexual Galton-Watson Branching Process	2024	Coralie Fritsch Denis Villemonais Nicolás Zalduendo

Works That Cite This (131)

Action	Title	Year	Authors
+	On a transformation between distributions obeying the principle of a single big jump	2014	Hui Xu Michael Scheutzow Yuebao Wang
+	On the non-closure under convolution of the subexponential family	1989	J. R. Leslie
+ PDF Chat	On the almost decrease of a subexponential density	2019	Tao Jiang Yuebao Wang Zhaolei Cui Yuxin Chen
+	Convolution equivalence and infinite divisibility	2004	Anthony G. Pakes
+	On the non-closure under convolution of the subexponential family	1989	J. R. Leslie
+	From light tails to heavy tails through multiplier	2008	Qihe Tang
+	Theory prob. appl.	1987	Edward Omey Eric Willekens
+	Tail behavior of the sums of dependent and heavy-tailed random variables	2014	Changjun Yu Yuebao Wang Dongya Cheng
+	Banach algebras of measures on the real axis with the given asymptotics of distributions at infinity	1999	B. A. Rogozin М. С. Сгибнев
+ PDF Chat	Infinite divisibility and generalized subexponentiality	2005	Takaaki Shimura Toshiro Watanabe

Works Cited by This (0)

Action	Title	Year	Authors