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Abstract: In this survey we give a concise account of the theory of branching processes. We describe the branching process of a single type in discrete time followed by the multitype case. Continuous time branching process of a single type is discussed next followed by branching processes in random environments in discrete time. Finally we deal with branching random walks. 1 Introduction. The subject of branching processes is now over half a century old. Already in the last century the problem of... (Update)
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BibTeX entry: (Update)
Athreya, K.B. and Ney, P.E. (1972) Branching Processes. Springer-Verlag. http://citeseer.ist.psu.edu/athreya99branching.html More
@misc{ athreya72branching,
author = "K. Athreya and P. Ney",
title = "Branching Processes",
text = "Athreya, K.B. and Ney, P.E. (1972) Branching Processes. Springer-Verlag.",
year = "1972",
url = "citeseer.ist.psu.edu/athreya99branching.html" }
Citations (may not include all citations):116 Branching Processes - Athreya, Ney - 1972
79 The Theory of Branching Processes (context) - Harris - 1963
21 Branching processes with biological applications (context) - Jagers - 1975
12 Martingale convergence in the branching random walk (context) - Biggins - 1977
11 Chernoff's theorem in the branching random walk (context) - Biggins - 1977
10 Uniform convergence of martingales in the branching random w.. (context) - Biggins - 1992
10 A limit theorem for multidimensional GaltonWatson processes (context) - Kesten, Stigum - 1966
8 Statistical Inference for Branching Processes (context) - Guttorp - 1991
8 Conceptual proofs of LlogL criteria for mean behavior of bra.. - Lyons, Pemantle et al. - 1995
7 A conceptual proof of Kesten-Stigum theorem for multi-type b.. - Kurtz, Lyons et al. - 1997
5 Large deviation rates for branching processes (context) - Athreya - 1994
3 Growth rates in the branching random walk (context) - Biggins - 1979
3 On branching processes with random environments (context) - Athreya, Karlin - 1971
3 Extension of a result of Seneta for supercritical GaltonWats.. (context) - Heyde - 1970
3 Multitype branching processes: Theory and applications (context) - Mode - 1971
3 On branching processes with random environments (context) - Athreya, Karlin - 1971
3 The growth and stabilization of populations (context) - Jagers - 1991
3 Limit theorems for multitype continuous time Markov branchin.. (context) - Athreya - 1969
2 Bienayme: Statistical Theory anticipated (context) - Seneta, Heyde - 1977
2 Sequential estimation for branching processes with immigrati.. (context) - Sriram, Basawa et al. - 1991
2 The population composition of a multitype branching random w.. (context) - Bramson, Ney et al. - 1992
2 Some limit theorems for positive recurrent branching Markov .. (context) - Athreya, Kang - 1998
2 the growth of multitype supercritical branching processes in.. (context) - Cohn - 1989
2 Some limit theorems for positive recurrent branching Markov .. (context) - Athreya, Kang - 1998
2 A multidimensional renewal theorem (context) - Ryan - 1976
2 Estimation of means in the branching process with immigratio.. (context) - Wei, Winnicki - 1990
2 Estimation of variances in the branching process with immigr.. (context) - Winnicki - 1991
2 Large deviation rates for branching processes II-the multity.. (context) - Athreya, Vidyashankar - 1995
2 Supercritical multitype branching processes (context) - Hoppe - 1976
2 A simple path to Biggins' martingale convergence for branchi.. - Lyons - 1997
2 Almost sure behavior of linear functionals of supercritical .. (context) - Asmussen - 1977
2 Stochastic processes and Applications (context) - Asmussen, Kaplan et al. - 1976
2 A simple proof of a result of Kesten and Stigum on supercrit.. (context) - Athreya - 1970
2 Stochastic processes and Applications (context) - Asmussen, Kaplan - 1976
2 Discounted branching random walks (context) - Athreya - 1985
2 Some results on multitype continuous time Markov branching p.. (context) - Athreya - 1968
1 Some central-limit analogues for supercritical branching pro.. (context) - Heyde - 1971
1 Whole genome amplification and branching processes - Sun, Waterman - 1997
1 Some almost sure convergence theorems for supercritical bran.. (context) - Heyde - 1971
1 Limit theorems for branching processes in random environment (context) - Tanny - 1977
1 Large deviations for branching processes in fixed and random.. (context) - Vidyashankar - 1994
1 Necessary and sufficient conditions for complete convergence.. (context) - Asmussen, Kurtz - 1980
1 Growth rates of lines of descent in branching process may di.. (context) - Athreya - 1999
1 Convergence rates for branching processes (context) - Asmusssssen - 1976
1 Some martingale methods in the limit theory of supercritical.. (context) - Asmussen - 1978
1 Branching processes (context) - Asmusssen, Herring - 1983
1 On multitype branching processes with ae (context) - Joffe, Spitizer - 1967
1 the absolute continuity of the limit random variable in the .. (context) - Athreya - 1971
1 Martingale central limit theorems and asymptotic estimation .. (context) - Asmussen, Keiding - 1978
1 the statistics of controlled branching processes (context) - Jean-Pierre, On - 1993
1 Convergence of age distribution in the onedimensional superc.. (context) - Athreya, Kaplan - 1976
1 A modified bootstrap for branching processes with immigratio.. (context) - Datta, Sriram - 1995
1 The convergence of a random distribution associated with bra.. (context) - Ney - 1966
1 A new martingale in the branching random walk (context) - Joffe - 1993
1 Critical age-dependent branching processes-Single and Multit.. (context) - Goldstein - 1971
1 A Senata-Heyde norming in the branching random walk (context) - Biggins, Kyprianou - 1997
1 Large deviation rates for critical and supercritical branchi.. (context) - Athreya, Vidyashankar - 1997
1 Large deviation results for branching processes (context) - Athreya, Vidyashankar - 1993
1 Senata constants for the supercritical Bellman Harris proces.. (context) - Schuh - 1982
1 The local limit theorem and some related aspects of supercri.. (context) - Athreya, Ney - 1970
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