On Zeros of a System of Polynomials and Application to Sojourn Time Distributions of Birth-and-Death Processes

DOI10.2307/2001176zbMath0652.60027OpenAlexW4243187872MaRDI QIDQ3797953

Ken-iti Sato

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2001176

zbMATH Keywords

first passage timeinfinite divisibilitybirth-and-death processUnimodality

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Real polynomials: location of zeros (26C10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Continuous-time Markov processes on discrete state spaces (60J27) Distribution theory (60E99)

Related Items (1)

Some new results for chain-sequence polynomials

Cites Work

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• Modes and moments of unimodal distributions
• Characterization of the class of upward first passage time distributions of birth and death processes and related results
• Unimodality of passage times for one-dimensional strong Markov processes
• The Differential Equations of Birth-and-Death Processes, and the Stieltjes Moment Problem
• On the unimodality of passage time densities in birth-death processes
• On distribution functions of class L
• Note on the Infinite Divisibility of Exponential Mixtures
• Log-concavity and log-convexity in passage time densities of diffusion and birth-death processes
• Spectral theory for the differential equations of simple birth and death processes

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