Birth and death processes with absorption

Autor: Mourad E. H. Ismail, Jean Letessier, Galliano Valent
Jazyk: angličtina
Rok vydání: 1992
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 15, Iss 3, Pp 469-480 (1992)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
01611712
DOI: 10.1155/S0161171292000632
Popis: 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.
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