On a symmetric, nonlinear birth-death process with bimodal transition probabilities

A Di Crescenzo, B Martinucci - Symmetry, 2009 - mdpi.com
We consider a bilateral birth-death process having sigmoidal-type rates. A thorough
discussion on its transient behaviour is given, which includes studying symmetry properties …

On a bilateral birth-death process with alternating rates

A Di Crescenzo, A Iuliano, B Martinucci - Ricerche di matematica, 2012 - Springer
We consider a bilateral birth-death process characterized by a constant transition rate λ from
even states and a possibly different transition rate μ from odd states. We determine the …

Ratio limits and limiting conditional distributions for discrete-time birth-death processes

EA Vandoorn, P Schrijner - Journal of mathematical analysis and …, 1995 - Elsevier
We consider discrete-time birth-death processes with an absorbing state and study the
conditional state distribution at time n given that absorption has not occurred by that time but …

On some transformations of bilateral birth-and-death processes with applications

A Di Crescenzo - arXiv preprint arXiv:0803.1413, 2008 - arxiv.org
A method yielding simple relationships among bilateral birth-and-death processes is
outlined. This allows one to relate birth and death rates of two processes in such a way that …

On a bilateral linear birth and death process in the presence of catastrophes

V Giorno, AG Nobile - Computer Aided Systems Theory-EUROCAST 2013 …, 2013 - Springer
LNCS 8111 - On a Bilateral Linear Birth and Death Process in the Presence of Catastrophes
Page 1 On a Bilateral Linear Birth and Death Process in the Presence of Catastrophes Virginia …

Stochastic monotonicity of birth–death processes

EA Van Doorn - Advances in Applied Probability, 1980 - cambridge.org
A birth–death process {x (t): t≥ 0} with state space the set of non-negative integers is said to
be stochastically increasing (decreasing) on the interval (t1, t2) if Pr {x (t)> i} is increasing …

[HTML][HTML] Conditions for the existence of quasi-stationary distributions for birth–death processes with killing

EA van Doorn - Stochastic processes and their applications, 2012 - Elsevier
We consider birth–death processes on the nonnegative integers, where {1, 2,…} is an
irreducible class and 0 an absorbing state, with the additional feature that a transition to …

Hitting time distributions for birth–death processes with bilateral absorbing boundaries

YH Mao, C Zhang - Probability in the Engineering and Informational …, 2017 - cambridge.org
For the birth–death process on a finite state space with bilateral boundaries, we give a
simpler derivation of the hitting time distributions by h-transform and φ-transform. These …

Quasi-stationary distributions and convergence to quasi-stationarity of birth-death processes

EA Van Doorn - Advances in applied probability, 1991 - cambridge.org
For a birth–death process (X (t),) on the state space {− 1, 0, 1,···}, where− 1 is an absorbing
state which is reached with certainty and {0, 1,···} is an irreducible class, we address and …

[HTML][HTML] Quasi-stationary distribution for the birth–death process with exit boundary

WJ Gao, YH Mao - Journal of Mathematical Analysis and Applications, 2015 - Elsevier
Quasi-stationary distribution for the birth–death process with exit boundary - ScienceDirect
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