The Nonexistence of the Yaglom Limit for An Age Dependent Subcritical Branching Process

Thomas G. Kurtz, Stephen Wainger

Type: Article

Publication Date: 1973-10-01

Citations: 3

DOI: https://doi.org/10.1214/aop/1176996852

Abstract

An age dependent subcritical branching process is constructed for which the conditioned limits $$\lim_{t\rightarrow\infty} P\{Z(t) = k \mid Z(t) > 0\}\quad k \geqq 1,$$ do not exist.

Locations

The Annals of Probability - View - PDF

Similar Works

Action	Title	Year	Authors
+	A multi-dimensional age-dependent branching process—Subcritical case	1971	K. Aiyappan Nair Charles J. Mode
+ PDF Chat	Explosiveness of age-dependent branching processes	1974	D. R. Grey
+	Age-dependent branching processes	1963	T. E. Harris
+ PDF Chat	CRITICAL AGE DEPENDENT BRANCHING PROCESSES	1972	Howard J. Weiner
+	A GENERALIZED AGE-DEPENDENT BRANCHING PROCESS AND ITS LIMIT DISTRIBUTION	2015	G.S. Mokaddis
+	A Generalized Age-Dependent Branching Process and Its Limit Distribution	1970	I. N. Shimi
+	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
+	Limiting behavior for age and position-dependent branching processes	1966	Howard E Conner
+	Age-dependent branching processes	1974	Peter Ney
+	Age-dependent branching processes	1974	Peter Ney
+	Limit theorems for critical age-dependent nonhomogeneous branching processes	1978	V. A. Topchiĭ
+	Limit Theorems for Age-Dependent Branching Processes	1972	V. P. Chistyakov
+	A local limit theorem for the critical age-dependent branching process	1978	David L. Quigg
+ PDF Chat	Limiting Theorems for Age-Dependent Branching Processes	1998	Norman Levinson
+	Correction: Asymptotic Probabilities in a Critical Age-Dependent Branching Process	1978
+	A local limit theorem for the critical age-dependent branching process	1978	David L. Quigg
+	A note on the supercritical generalized age-dependent branching process	1975	Norman Kaplan
+	A note on the supercritical generalized age-dependent branching process	1975	Norman Kaplan
+	The reducible multidimensional age-dependent branching processes	1971	K. Aiyappan Nair Charles J. Mode

Works That Cite This (3)

Action	Title	Year	Authors
+	Existence and uniqueness of quasi-stationary and quasi-ergodic measures for absorbing Markov chains: A Banach lattice approach	2024	Matheus M. Castro Jeroen S. W. Lamb Guillermo Olicón-Méndez Martin Rasmussen
+	Branching processes. I	1987	Vladimir Vatutin A. M. Zubkov
+	Existence and uniqueness of quasi-stationary and quasi-ergodic measures for absorbing Markov processes: a Banach lattice approach	2021	Matheus M. Castro Jeroen S. W. Lamb Guillermo Olicón Méndez Martin Rasmussen

Works Cited by This (0)

Action	Title	Year	Authors