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A note on three stochastic processes with immigration

  • J. Gani and L. Stals

Abstract

Three stochastic processes, the birth, death and birth-death processes, subject to immigration can be decomposed into the sum of each process in the absence of immigration and anindependent process. We examine these independent processes through their probability generating functions (pgfs) and derive their expectations.

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Copyright

References

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[1]Abramowitz, M. and Stegun, I. A., Handbook of mathematical functions (US National Bureau of Standards, Washington, D.C., 1964).
[2]Bartlett, M. S., An introduction to stochastic processes, 2nd ed. (Cambridge University Press, Cambridge, 1966).
[3]Cox, D. R. and Miller, H. D., The theory of stochastic processes (Methuen, London, 1965).
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A note on three stochastic processes with immigration

  • J. Gani and L. Stals

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