Characterization of the class of upward first passage time distributions of birth and death processes and related results

DOI10.2969/jmsj/04030477zbMath0666.60078OpenAlexW2034038858MaRDI QIDQ1116552

Makoto Yamazato

Publication date: 1988

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/04030477

zbMATH Keywords

Laplace transformfirst passage timereflecting boundarybirth and death processmixtures of exponential distributions

Mathematics Subject Classification ID

Diffusion processes (60J60) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (5)

Oscillation of modes of some semi-stable Lévy processes ⋮ On subclasses of infinitely divisible distributions on R related to hitting time distributions of 1-dimensional generalized diffusion processes ⋮ A characterization of first passage time distributions for random walks ⋮ Hitting time distributions of single points for 1-dimensional generalized diffusion processes ⋮ On Zeros of a System of Polynomials and Application to Sojourn Time Distributions of Birth-and-Death Processes

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