Add to ORKGIn this explanatory note, we interpret two known results for a death process and a birth process subject to an independent death process. The first example is the carrier-borne epidemic, while the second is the polymerisation chain reaction. The interpretations allow a more intuitive understanding of the resulting formulae for the probability generating functions of the processes
A birth-death process on Z was proposed in [Conolly et al., 1997] to describe chain molecular diffus...
In this note a simple immigration--birth--death process is considered, which is influenced by total ...
ABSTRACT. The basic theory of the quasi-birth-and-death process is extended to a process which is in...
We consider a birth-death process whose birth and death rates are suggested by a chain sequence. We ...
Three stochastic processes, the birth, death and birth-death processes, subject to immigration can b...
The stochastic system approach to causality is applied to situations where the risk of death is not ...
Abstract. In several recent papers criteria for the α-classification of birth-death and quasi-birth-...
A method yielding simple relationships among bilateral birth-and-death processes is outlined. This...
A birth-death process is a continuous-time Markov chain that counts the number of particles in a sys...
Many important stochastic counting models can be written as general birth-death processes (BDPs). BD...
For a birth-death process N(t) with a reflecting state at 0 we propose a method able to construct a ...
This paper studies birth and death processes in interactive random environments where the birth and ...
Integral functionals of Markov processes are widely used in stochastic modeling for applications in ...
Starting from a birth-and-death process defined on {0,1,2,...} with 0 an absorbing state one can co...
Let X(t) be a birth-death Markov process. Here it is shown how the expectation of the time to absorp...
A birth-death process on Z was proposed in [Conolly et al., 1997] to describe chain molecular diffus...
In this note a simple immigration--birth--death process is considered, which is influenced by total ...
ABSTRACT. The basic theory of the quasi-birth-and-death process is extended to a process which is in...
We consider a birth-death process whose birth and death rates are suggested by a chain sequence. We ...
Three stochastic processes, the birth, death and birth-death processes, subject to immigration can b...
The stochastic system approach to causality is applied to situations where the risk of death is not ...
Abstract. In several recent papers criteria for the α-classification of birth-death and quasi-birth-...
A method yielding simple relationships among bilateral birth-and-death processes is outlined. This...
A birth-death process is a continuous-time Markov chain that counts the number of particles in a sys...
Many important stochastic counting models can be written as general birth-death processes (BDPs). BD...
For a birth-death process N(t) with a reflecting state at 0 we propose a method able to construct a ...
This paper studies birth and death processes in interactive random environments where the birth and ...
Integral functionals of Markov processes are widely used in stochastic modeling for applications in ...
Starting from a birth-and-death process defined on {0,1,2,...} with 0 an absorbing state one can co...
Let X(t) be a birth-death Markov process. Here it is shown how the expectation of the time to absorp...
A birth-death process on Z was proposed in [Conolly et al., 1997] to describe chain molecular diffus...
In this note a simple immigration--birth--death process is considered, which is influenced by total ...
ABSTRACT. The basic theory of the quasi-birth-and-death process is extended to a process which is in...