TITLE

On the asymptotic growth for a bisexual Galton-Watson branching process in varying environments

AUTHOR(S)
Molina, M.; Mota, M.; Ramos, A.
PUB. DATE
October 2006
SOURCE
Journal of Mathematical Sciences;Oct2006, Vol. 138 Issue 1, p5415
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The article reports on the asymptotic growth for the bisexual Galton-Watson branching process in varying environments. It mentions that the bisexual Galton-Watson branching process (BP) is a two-type branching model wherein the females and males form the mating units. It also discusses the probabilistic model, limiting behavior and others.
ACCESSION #
22089547

 

Related Articles

  • MARKOVIAN PATHS TO EXTINCTION. Peter Jagers; Fima C. Klebaner; Serik Sagitov // Advances in Applied Probability;Jun2007, Vol. 39 Issue 2, p569 

    Subcritical Markov branching processes {Z1} die out sooner or later, say at time T < ∞. We give results for the path to extinction {ZuT, 0 ⩽ u ⩽ 1} that include its finite dimensional distributions and the asymptotic behaviour of u–1 ZuT, as Z0 = x → ∞. The...

  • Some limit results for controlled branching processes with random control function*. Gonzalez, M.; Molina, M.; Puerto, I. // Journal of Mathematical Sciences;Oct2006, Vol. 138 Issue 1, p5396 

    The article reports on several limit results for controlled branching processes with random control function. It mentions that controlled branching process (CBP) with the random control function was introduced as a discrete-time stochastic model. It discusses the sufficient conditions for the...

  • ON THE MAXIMAL OFFSPRING IN A CRITICAL BRANCHING PROCESS WITH INFINITE VARIANCE. BERTOIN, JEAN // Journal of Applied Probability;Jun2011, Vol. 48 Issue 2, p576 

    We investigate the maximal number Mk of offspring amongst all individuals in a critical Galton--Watson process started with k ancestors. We show that when the reproduction law has a regularly varying tail with index -α for 1 < α < 2, then k-1 Mk converges in distribution to a Frechet law...

  • LOOKING FORWARDS AND BACKWARDS IN THE MULTI-ALLELIC NEUTRAL CANNINGS POPULATION MODEL.  // Journal of Applied Probability;Sep2010, Vol. 47 Issue 3, p713 

    No abstract available.

  • LINEAR DYNAMICS FOR THE STATE VECTOR OF MARKOV CHAIN FUNCTIONS. Ledoux, James // Advances in Applied Probability;Dec2004, Vol. 36 Issue 4, p1198 

    Let (Ï• (Xn ))n be a function of a finite-state Markov chain (Xn)n. In this article, we investigate the conditions under which the random variables Ï•(Xn) have the same distribution as Yn (for every n), where (Yn)n is a Markov chain with fixed transition probability matrix. In other words,...

  • MULTITYPE BIENAYMÉ-GALTON-WATSON PROCESSES ESCAPING EXTINCTION. Sagitov, Serik; Serra, Maria Conceição // Advances in Applied Probability;Mar2009, Vol. 41 Issue 1, p225 

    In the framework of a multitype Bienaymé-Galton-Watson (BGW) process, the event that the daughter's type differs from the mother's type can be viewed as a mutation event. Assuming that mutations are rare, we study a situation where all types except one produce on average less than one...

  • FROM DAMAGE MODELS TO SIR EPIDEMICS AND CASCADING FAILURES. Gathy, Maude; Lefèvre, Claude // Advances in Applied Probability;Mar2009, Vol. 41 Issue 1, p247 

    This paper is concerned with a nonstationary Markovian chain of cascading damage that constitutes an iterated version of a classical damage model. The main problem under study is to determine the exact distribution of the total outcome of this process when the cascade of damages finally stops....

  • SUPERCRITICAL MULTITYPE BRANCHING PROCESSES: THE ANCESTRAL TYPES OF TYPICAL INDIVIDUALS. Georgii, Hans-Otto; Baake, Ellen // Advances in Applied Probability;Dec2003, Vol. 35 Issue 4, p1090 

    For supercritical multitype Markov branching processes in continuous time, we investigate the evolution of types along those lineages that survive up to some time at. We establish almost-sure convergence theorems for both time and population averages of ancestral types (conditioned on...

  • THE NOISY VETO-VOTER MODEL: A RECURSIVE DISTRIBUTIONAL EQUATION ON [0, 1]. Jacka, Saul; Sheehan, Marcus // Journal of Applied Probability;Sep2008, Vol. 45 Issue 3, p670 

    We study a particular example of a recursive distributional equation (RDE) on the unit interval. We identify all invariant distributions, the corresponding 'basins of attraction', and address the issue of endogeny for the associated tree-indexed problem, making use of an extension of a recent...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics