Spectral measures and transition probabilities of birth and death processes with A0 #o 0 are obtained as limite when Ao 0+ of the corresponding quantities. In pa,rticula th(, case of finite population is discussed in full detail. Pure birth and death processes are used to derive an inequality for Dirichlet polynomials. KEY WORDS AND PHRASES. Markov process, and inequality fo
summary:It has been known for a long time that for birth-and-death processes started in zero the fir...
We study the probability of extinction for single-type and multi-type continuous-time linear birth-a...
This paper studies birth and death processes in interactive random environments where the birth and ...
Abstract Spectral measures and transition probabilities of birth and death processes with A0 #o 0 ar...
Spectral measures and transition probabilities of birth and death processes with λ0=μ0=0 are obtaine...
We display some representations for the rate of convergence of a birth-death process, which are usef...
We consider discrete-time birth-death processes with an absorbing state and study the conditional st...
AbstractWe consider discrete-time birth-death processes with an absorbing state and study the condit...
Abstract. We study birth-death processes on the non-negative integers where {1, 2,...} is an irreduc...
Let X(t) be a birth-death Markov process. Here it is shown how the expectation of the time to absorp...
This research determined the manner of convergence of certain Markov processes to their steady state...
The Karlin-McGregor representation for the transition probabilities of a birth-death process with an...
We study the asymptotic behavior of maximum values of birth and death processes over large time inte...
In this paper, we present the extension of the analysis of time-dependent limiting characteristics t...
Abstract. We consider sequences of polynomials that are defined by a three-terms recurrence relation...
summary:It has been known for a long time that for birth-and-death processes started in zero the fir...
We study the probability of extinction for single-type and multi-type continuous-time linear birth-a...
This paper studies birth and death processes in interactive random environments where the birth and ...
Abstract Spectral measures and transition probabilities of birth and death processes with A0 #o 0 ar...
Spectral measures and transition probabilities of birth and death processes with λ0=μ0=0 are obtaine...
We display some representations for the rate of convergence of a birth-death process, which are usef...
We consider discrete-time birth-death processes with an absorbing state and study the conditional st...
AbstractWe consider discrete-time birth-death processes with an absorbing state and study the condit...
Abstract. We study birth-death processes on the non-negative integers where {1, 2,...} is an irreduc...
Let X(t) be a birth-death Markov process. Here it is shown how the expectation of the time to absorp...
This research determined the manner of convergence of certain Markov processes to their steady state...
The Karlin-McGregor representation for the transition probabilities of a birth-death process with an...
We study the asymptotic behavior of maximum values of birth and death processes over large time inte...
In this paper, we present the extension of the analysis of time-dependent limiting characteristics t...
Abstract. We consider sequences of polynomials that are defined by a three-terms recurrence relation...
summary:It has been known for a long time that for birth-and-death processes started in zero the fir...
We study the probability of extinction for single-type and multi-type continuous-time linear birth-a...
This paper studies birth and death processes in interactive random environments where the birth and ...