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A stochastic Gompertz birth-death process

Author

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  • Tan, W. Y.

Abstract

This paper shows that the stochastic Gompertz birth-death process is a special case of nonhomogeneous birth and death processes. The absolute probability, the first four cumulants as well as absorption probabilities are then derived for these processes.

Suggested Citation

  • Tan, W. Y., 1986. "A stochastic Gompertz birth-death process," Statistics & Probability Letters, Elsevier, vol. 4(1), pages 25-28, January.
    • Handle: RePEc:eee:stapro:v:4:y:1986:i:1:p:25-28
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    Cited by:

    1. Antonio Di Crescenzo & Paola Paraggio & Serena Spina, 2023. "Stochastic Growth Models for the Spreading of Fake News," Mathematics, MDPI, vol. 11(16), pages 1-23, August.
    2. Antonio Di Crescenzo & Paola Paraggio, 2019. "Logistic Growth Described by Birth-Death and Diffusion Processes," Mathematics, MDPI, vol. 7(6), pages 1-28, May.
    3. Anup Dewanji & Jihyoun Jeon & Rafael Meza & E Georg Luebeck, 2011. "Number and Size Distribution of Colorectal Adenomas under the Multistage Clonal Expansion Model of Cancer," PLOS Computational Biology, Public Library of Science, vol. 7(10), pages 1-10, October.
    4. Gutiérrez-Sánchez, R. & Nafidi, A. & Pascual, A. & Ramos-Ábalos, E., 2011. "Three parameter gamma-type growth curve, using a stochastic gamma diffusion model: Computational statistical aspects and simulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(2), pages 234-243.
    5. Giorno, Virginia & Nobile, Amelia G., 2022. "On some integral equations for the evaluation of first-passage-time densities of time-inhomogeneous birth-death processes," Applied Mathematics and Computation, Elsevier, vol. 422(C).
    6. Sahoo, S. & Sahoo, A. & Shearer, S.F.C., 2010. "Dynamics of Gompertzian tumour growth under environmental fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(6), pages 1197-1207.

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