Existence of non-trivial quasi-stationary distributions in the birth-death chain

Pablo A. Ferrari, Servet Martı́nez, Pierre Picco

Type: Article

Publication Date: 1992-12-01

Citations: 28

DOI: https://doi.org/10.1017/s0001867800024952

View Publication

Locations

Advances in Applied Probability - View

Similar Works

Action	Title	Year	Authors
+	Existence of non-trivial quasi-stationary distributions in the birth-death chain	1992	Pablo A. Ferrari Servet Martı́nez Pierre Picco
+	Some Properties of Quasi Stationary Distributions in the Birth and Death Chains: A Dynamical Approach	1991	Pablo A. Ferrari Sonia Martínez Pierre Picco
+	Conditions for the existence of quasi-stationary distributions for birth–death processes with killing	2012	Erik A. van Doorn
+	Existence and uniqueness of a quasi-stationary distribution for Markov processes with fast return from infinity	2012	Servet Martı́nez Jaime San Martı́n Denis Villemonais
+	Quasi-stationary Distributions for a Class of Discrete-time Markov Chains	2006	Pauline Coolen‐Schrijner Erik A. van Doorn
+ PDF Chat	Existence of Quasi-Stationary Distributions. A Renewal Dynamical Approach	1995	Pablo A. Ferrari Harry Kesten Sofía Boza Pierre Picco
+	Quasi-stationary distributions for a class of discrete-time Markov chains	2004	Pauline Coolen‐Schrijner Erik A. van Doorn
+	Quasi-Stationary Distributions and Behavior of Birth-Death Markov Process with Absorbing States	1996	Carlos Hernández-Suárez Carlos Castillo‐Chávez
+ PDF Chat	Quasi-stationary distributions and population processes	2012	Sylvie Méléard Denis Villemonais
+	Convergence of quasi-stationary distributions in birth-death processes	1984	Julian Keilson Ravi Ramaswamy
+	Quasi-Stationary Distributions for Birth-Death Chains. Convergence Radii and Yaglom Limit	1993	Servet Martı́nez
+	Nonunique Stationary States and Broken Universality in Birth Death Diffusion Processes	2021	Kartik Chhajed P. K. Mohanty
+ PDF Chat	Existence and Uniqueness of a Quasistationary Distribution for Markov Processes with Fast Return from Infinity	2014	Servet Martı́nez Jaime San Martı́n Denis Villemonais
+ PDF Chat	Existence and Uniqueness of a Quasistationary Distribution for Markov Processes with Fast Return from Infinity	2014	Servet Martı́nez Jaime San Martı́n Denis Villemonais
+	Quasi-stationary distributions and diffusion models in population dynamics	2007	Patrick Cattiaux Pierre Collet Amaury Lambert Servet Martı́nez Sylvie Méléard Jaime San Martı́n
+	Quasi-stationary distributions: continued fraction and chain sequence criteria for recurrence	1994	Pablo A. Ferrari Servet Martı́nez
+	Quasi-stationary distributions	2011	Erik A. van Doorn P. K. Pollett
+ PDF Chat	Domain of attraction of quasi-stationary distribution for one-dimensional diffusions	2016	Hanjun Zhang Guoman He
+ PDF Chat	Weak convergence of conditioned birth-death processes in discrete time	1997	Pauline Schrijner Erik A. van Doorn
+ PDF Chat	Weak convergence of conditioned birth-death processes in discrete time	1997	Pauline Schrijner Erik A. van Doorn

Works That Cite This (23)

Action	Title	Year	Authors
+ PDF Chat	The quasi-stationary distribution for small random perturbations of certain one-dimensional maps	1999	Kavita Ramanan Ofer Zeitouni
+	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>R</mml:mi></mml:math>-positivity of nearest neighbor matrices and applications to Gibbs states	2010	Jorge Littin Servet Martı́nez
+ PDF Chat	On the link between infinite horizon control and quasi-stationary distributions	2018	Nicolas Champagnat Julien Claisse
+	Domain of attraction of quasi-stationary distributions for the brownian motion with drift	1998	Servet Martı́nez Pierre Picco Jaime San Martı́n
+ PDF Chat	On Dirichlet eigenvectors for neutral two-dimensional Markov chains	2012	Nicolas Champagnat Persi Diaconis Laurent Miclo
+	Quasi Stationary Distributions and Fleming - Viot Processes	2013	Pablo A. Ferrari
+	Minimal quasi-stationary distributions under nullR-recurrence	2000	José Antonio Moler Fernando Plo Miguel A. San‐Miguel
+	Quasi-stationary distributions for a Brownian motion with drift and associated limit laws	1994	Servet Martı́nez Jaime San Martı́n
+	Decay rates and cutoff for convergence and hitting times of Markov chains with countably infinite state space	2001	Servet Martı́nez Bernard Ycart
+ PDF Chat	Geomatric ergodicity and quasi-stationarity in discrete-time birth-death processes	1995	Erik A. van Doorn Pauline Schrijner

Works Cited by This (9)

Action	Title	Year	Authors
+	Analytic Theory of Continued Fractions	1967	H. S. Wall
+ PDF Chat	The differential equations of birth-and-death processes, and the Stieltjes moment problem	1957	Samuel Karlin James L. McGregor
+ PDF Chat	A convergence theorem for continued fractions	1940	William T. Scott H. S. Wall
+	QUASI‐STATIONARY BEHAVIOUR IN THE RANDOM WALK WITH CONTINUOUS TIME	1966	E. Seneta
+ PDF Chat	The limiting behavior of transient birth and death processes conditioned on survival	1968	Phillip Good
+ PDF Chat	The classification of birth and death processes	1957	Samuel Karlin James McGregor
+	Some results for quasi-stationary distributions of birth-death processes	1991	Masaaki Kijima E. Seneta
+	On quasi-stationary distributions in discrete-time Markov chains with a denumerable infinity of states	1966	E. Seneta D. Vere‐Jones
+	On quasi-stationary distributions in discrete-time Markov chains with a denumerable infinity of states	1966	E. Seneta D. Vere‐Jones