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Markov branching processes with varying growth rates

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Abstract

A branching processZ(t) which behaves as Markov branching processesZ 1(t) andZ 2(t) during the free and dead times of a counter process is considered. Expression forE[Z(t)] is given.

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Literature

  • Kaplan, N. 1973). A Continuous Time Markov Branching Model in Random Environments.”Adv. Appl. Prob.,5, 37–54.

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  • Takacs, L. (1957). On Certain Sorjourn Time Problems in the Theory of Stochastic Processes.”Acta Math. Sci. Acad. Hung.,8, 1969–2191.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology, 600 036, Madras, India

    P. R. Parthasarathy

  2. Cochin University, 682 022, Cochin, India

    A. Krishnamoorthy

Authors
  1. P. R. Parthasarathy
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  2. A. Krishnamoorthy
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Parthasarathy, P.R., Krishnamoorthy, A. Markov branching processes with varying growth rates. Bltn Mathcal Biology 41, 607–610 (1979). https://doi.org/10.1007/BF02458333

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