Branching processes with random environments
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- by Krishna B. Athreya and Samuel Karlin PDF
- Bull. Amer. Math. Soc. 76 (1970), 865-870
References
- Theodore E. Harris, The theory of branching processes, Die Grundlehren der mathematischen Wissenschaften, Band 119, Springer-Verlag, Berlin; Prentice Hall, Inc., Englewood Cliffs, N.J., 1963. MR 0163361
- H. Furstenberg and H. Kesten, Products of random matrices, Ann. Math. Statist. 31 (1960), 457–469. MR 121828, DOI 10.1214/aoms/1177705909
- H. Kesten and B. P. Stigum, A limit theorem for multidimensional Galton-Watson processes, Ann. Math. Statist. 37 (1966), 1211–1223. MR 198552, DOI 10.1214/aoms/1177699266
- Walter L. Smith, Necessary conditions for almost sure extinction of a branching process with random environment, Ann. Math. Statist. 39 (1968), 2136–2140. MR 237006, DOI 10.1214/aoms/1177698045
- Walter L. Smith and William E. Wilkinson, On branching processes in random environments, Ann. Math. Statist. 40 (1969), 814–827. MR 246380, DOI 10.1214/aoms/1177697589
Additional Information
- Journal: Bull. Amer. Math. Soc. 76 (1970), 865-870
- MSC (1970): Primary 6067; Secondary 6030
- DOI: https://doi.org/10.1090/S0002-9904-1970-12589-7
- MathSciNet review: 0264772