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Branching Processes (1999)  (Make Corrections)  (116 citations)
K. B. Athreya, A. N. Vidyashankar



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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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18:   The theory of branching processes (context) - Harris - 1963
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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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