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On Probability Distribution of First Absorption Time in Branching Processes

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Abstract (2. Language): 
In this paper, by using diffusion approximation we derive the probability distribution of time to extinction of the Galton-Watson branching process. It is shown that this probability distribution can be expressed in terms of Laguerre polynomials.
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REFERENCES

References: 

[1] Karlin, S. and Taylor, H.M. : A First Course in Stochastic Processes. Second edition. New York: Academic Press, 1975.
[2] Jorde, L.B., Carey, J.C., Bamshad, M.J. and White, R.J.: Medical genetics. Second Edition. New York: Moshy Inc., 1999
[3] Scriver, C.R., Beaudet, A.I., Sly, W.S. and Valle, D. (eds.) The Metabolic and Molecular Basis of Inherited Diseases. Vol. 3. New York: McGraw-
Hill, 1995.
[4] Feller, W.: Diffusion process in genetics. Proc. 2nd Berkeley Sympo¬sium Math. Statist. Probab.,University ofCalifornia Press, Berkeley, CA.
USA., 1951, p227-246.
[5] Tan, W.Y.: Stochastic Models With Applications to Genetics, Cancers, AIDS and Other Biomedical Systems. Singapore and River Edge, New Jersey: World Scientific, 2002.
[6] Tan, W.Y. and Tiku, M.: Sampling Distributions in Terms of Laguerre Polynomials and Applications. New Delhi, India: New Age International
Publisher,1999.
[7] Widder, P.: The Laplace Transform. Princeton: Princeton University Press, 1946.

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