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 …
discussion on its transient behaviour is given, which includes studying symmetry properties …
On a bilateral birth-death process with alternating rates
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 …
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 …
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 …
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
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 …
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 …
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 …
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 …
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 …
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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