Results 321 to 330 of about 913,345 (341)

The Theory of Branching Processes [PDF]

Journal of the Royal Statistical Society. Series A (General), 1963
A review of the Galton and Watson mathematical model that applies probability theory to the effects of chance on the development of populations, followed by a systematic development of branching processes (one of the generalizations from the Galton-Watson model), and a brief description of some of the important applications.
M. S. Bartlett, Theodore E. Harris
openaire   +1 more source

Some of the next articles are maybe not open access.

Related searches:

Computerization of the branching process

Behavioral Science, 1967
The branching process had its origin in Galton's curiosity about the extinction of family names; the mathematics developed for this original purpose has since found many applications in physical as well as social science. The present paper gives an elementary summary of the theory in the iterated function first developed, and then translates this ...
Andrea Tyree, Nathan Keyfitz
openaire   +3 more sources

Integrals of branching processes

Biometrika, 1967
SUMMARY For age-dependent branching processes X(t) integrals of the type Y(t) = f X(s) ds are studied. These may be looked upon as a measure of the amount of toxins produced in time (0, t) by a colony of bacteria. An integral equation for the moment generating function of {X(t), Y(t)} is deduced and used to analyze the asymptotic behaviour of the two ...
openaire   +3 more sources

The collision branching process

Journal of Applied Probability, 2004
We consider a branching model, which we call the collision branching process (CBP), that accounts for the effect of collisions, or interactions, between particles or individuals. We establish that there is a unique CBP, and derive necessary and sufficient conditions for it to be nonexplosive.
Chen, A., Pollett, P., Zhang, H., Li, J.
openaire   +3 more sources

A branching process with disasters

Journal of Applied Probability, 1975
A population process is considered where particles reproduce according to an age-dependent branching process, and are subjected to disasters which occur at the epochs of an independent renewal process. Each particle alive at the time of a disaster, survives it with probability p and the survival of any particle is assumed independent of the survival of
Norman Kaplan, Aidan Sudbury, Trygve S. Nilsen   +2 more
openaire   +2 more sources

Inequalities for branching processes

Journal of Applied Probability, 1966
Summary If F(s) is the probability generating function of a non-negative random variable, the nth functional iterate Fn (s) = Fn– 1 (F(s)) generates the distribution of the size of the nth generation of a simple branching process.
C. R. Heathcote, E. Seneta
openaire   +2 more sources

On a general branching process

Journal of Applied Probability, 1981
A branching process is described which contains some better-known simple branching processes as special cases. Variables examined are the rate of development, the number of individuals currently alive, and the duration of the process. The apparent dynamics of collapsing supercritical realisations are isolated.
openaire   +2 more sources

Branching processes with immigration

Journal of Applied Probability, 1971
Consider a branching process in which each individual reproduces independently of all others and has probabilityaj(j= 0, 1, ···) of giving rise tojprogeny in the following generation, and in which there is an independent immigration component where, with probabilitybj(j= 0, 1, ···)jobjects enter the population at each generation. Then lettingXn(n= 0, 1,
openaire   +2 more sources

The progeny of a branching process

Journal of Applied Probability, 1971
1. Let {Z(t), t ≧ 0} be an age-dependent branching process with offspring generating function and life-time distribution function G(t). Denote by N(t) the progeny of the process, that is the total number of objects which have been born in [0, t], counting the ancestor. (See Section 2 for definitions.) Then in the Galton-Watson process (i.e., when G(t)
openaire   +2 more sources

Branching Processes and Their Applications

2016
This is a post-peer-review version of the volume 219 of Lecture Notes in Statistics-Proceedings, Springer-Verlag. The final authenticated version is available online at: https://doi.org/10.1007/978-3-319-31641-3. This version of the work is subject to Springer Nature’s AM terms of use, see: https://www.springernature.com/gp/ open-science/policies ...
Carmen Minuesa, Manuel Mota, Inés del Puerto, Manuel Molina, Rodrigo Martínez, Miguel González, Alfonso Ramos, Cristina Gutiérrez   +7 more
openaire   +3 more sources