Distribution of deaths in a birth-death process

J. Gani; R. J. Swift

Distribution of deaths in a birth-death process

J. Gani, R. J. Swift

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

The probability generating function for the number of survivors in the classical simple birth-death process, is well known. However, the bivariate probability generating function for the surviving population and total number of deaths for this process is not as well known. In this note, we derive the probability generating function for the total number of deaths and also provide an approximation.

Original language	English
Pages (from-to)	111-114
Number of pages	4
Journal	Mathematical Scientist
Volume	42
Issue number	2
Publication status	Published - Aug 2017

Cite this

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title = "Distribution of deaths in a birth-death process",

abstract = "The probability generating function for the number of survivors in the classical simple birth-death process, is well known. However, the bivariate probability generating function for the surviving population and total number of deaths for this process is not as well known. In this note, we derive the probability generating function for the total number of deaths and also provide an approximation.",

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AU - Gani, J.

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N1 - Publisher Copyright: © Applied Probability Trust 2017.

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N2 - The probability generating function for the number of survivors in the classical simple birth-death process, is well known. However, the bivariate probability generating function for the surviving population and total number of deaths for this process is not as well known. In this note, we derive the probability generating function for the total number of deaths and also provide an approximation.

AB - The probability generating function for the number of survivors in the classical simple birth-death process, is well known. However, the bivariate probability generating function for the surviving population and total number of deaths for this process is not as well known. In this note, we derive the probability generating function for the total number of deaths and also provide an approximation.

KW - Death distribution

KW - Death process

KW - Poisson process

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SN - 0312-3685

VL - 42

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JO - Mathematical Scientist

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Distribution of deaths in a birth-death process

Abstract

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