Spectral measures and transition probabilities of birth and death processes with λ0=μ0=0 are obtained as limite when λ0→0+ of the corresponding quantities. In particular the case of finite population is discussed in full detail. Pure birth and death processes are used to derive an inequality for Dirichlet polynomials
We consider a general class of birth-and-death processes with state space {0, 1, 2, 3,. . .} which d...
AbstractWe study a birth and death process with quartic transition rates for which the transition pr...
We consider birth and death processes with finite state space consisting of N+1 points (N ≥ 2). Thes...
Spectral measures and transition probabilities of birth and death processes with λ0=μ0=0 are obtaine...
Spectral measures and transition probabilities of birth and death processes with λ0=μ0=0 are obtaine...
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...
We display some representations for the rate of convergence of a birth-death process, which are usef...
The Karlin-McGregor representation for the transition probabilities of a birth-death process with an...
Abstract. We consider sequences of polynomials that are defined by a three-terms recurrence relation...
AbstractWe study birth and death processes with linear rates λn = n + α + c + 1, μn + 1 = n + c, n ⩾...
We study the asymptotic behavior of maximum values of birth and death processes over large time inte...
We consider birth-death processes on the nonnegative integers and the corresponding sequences of ort...
AbstractWe study the asymptotic behavior of maximum values of birth and death processes over large t...
We consider a general class of birth-and-death processes with state space {0, 1, 2, 3,. . .} which d...
AbstractWe study a birth and death process with quartic transition rates for which the transition pr...
We consider birth and death processes with finite state space consisting of N+1 points (N ≥ 2). Thes...
Spectral measures and transition probabilities of birth and death processes with λ0=μ0=0 are obtaine...
Spectral measures and transition probabilities of birth and death processes with λ0=μ0=0 are obtaine...
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...
We display some representations for the rate of convergence of a birth-death process, which are usef...
The Karlin-McGregor representation for the transition probabilities of a birth-death process with an...
Abstract. We consider sequences of polynomials that are defined by a three-terms recurrence relation...
AbstractWe study birth and death processes with linear rates λn = n + α + c + 1, μn + 1 = n + c, n ⩾...
We study the asymptotic behavior of maximum values of birth and death processes over large time inte...
We consider birth-death processes on the nonnegative integers and the corresponding sequences of ort...
AbstractWe study the asymptotic behavior of maximum values of birth and death processes over large t...
We consider a general class of birth-and-death processes with state space {0, 1, 2, 3,. . .} which d...
AbstractWe study a birth and death process with quartic transition rates for which the transition pr...
We consider birth and death processes with finite state space consisting of N+1 points (N ≥ 2). Thes...