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The asymptotic normality of a simple batch epidemic process. (English) Zbl 0437.92026

MSC:

92D25 Population dynamics (general)
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References:

[1] Bailey, N. T.J., The Mathematical Theory of Infectious Diseases (1975), Hafner: Hafner New York · Zbl 0115.37202
[2] Billard, L.; Lacayo, H.; Langberg, N. A., A simple batch epidemic process, Math. Biosci., 48, 65-70 (1980) · Zbl 0422.92021
[3] Billard, L.; Lacayo, H.; Langberg, N. A., The discrete asymptotic behaviour of a simple batch epidemic process, J. Appl. Probability, 17, 25-32 (1980) · Zbl 0434.92016
[4] Breiman, L., Probability (1968), Addison-Wesley · Zbl 0174.48801
[5] Dvoretzky, A., Asymptotic normality for sums of dependent random variables, Proceedings of the 6th Berkeley Symposium on Mathematical Statistics and Probability, Vol. II, 513-535 (1972)
[6] Halmos, P. R., Measure Theory (1965), Van Nostrand · Zbl 0073.09302
[7] McNeil, D. R., On the stochastic epidemic, Biometrika, 56, 494-497 (1972) · Zbl 0238.92010
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