In this paper, the multitype population size-dependent branching process with dependent offspring is introduced and the probability of extinction of such a process is investigated. Sufficient conditions for both almost sure extinction and survival of the process are shown to depend on the Perron-Frobenius eigenvalue of adequate limit matrices. Finally, theoretical results are illustrated with an example.Multitype population size-dependent branching process Dependent offspring
This paper extends the results of [1] to the multitype case. For a multitype branching process that ...
Using the ergodic theory of nonnegative matrices, conditions are obtained for the ℒ and almost sure ...
In a recent paper [7] a coupling method was used to show that if population size, or more generally ...
AbstractA branching process model where offspring distributions depend on the threshold as well as o...
We present here a new general class of multitype branching processes in discrete time with memory an...
We present a general class of multitype branching processes in discrete time with age, memory and po...
We propose a stochastic process model for a population of individuals of two types. Type-I individua...
© 2018 Dr. Peter Timothy BraunsteinsMultitype branching processes describe the evolution of populati...
International audienceThis paper covers the elaboration of a general class of multitype branching pr...
A general multitype branching process with sibling dependencies is considered. The dependencies with...
AbstractWe propose a stochastic process model for a population of individuals of two types. Type-I i...
We consider a class of multitype Galton-Watson branching processes with a countably infinite type se...
International audienceConditioned on the generating functions of offspring distribution, we study th...
We present two iterative methods for computing the global and partial extinction probability vectors...
Independence of reproducing individuals can be viewed as the very defining property of branching pro...
This paper extends the results of [1] to the multitype case. For a multitype branching process that ...
Using the ergodic theory of nonnegative matrices, conditions are obtained for the ℒ and almost sure ...
In a recent paper [7] a coupling method was used to show that if population size, or more generally ...
AbstractA branching process model where offspring distributions depend on the threshold as well as o...
We present here a new general class of multitype branching processes in discrete time with memory an...
We present a general class of multitype branching processes in discrete time with age, memory and po...
We propose a stochastic process model for a population of individuals of two types. Type-I individua...
© 2018 Dr. Peter Timothy BraunsteinsMultitype branching processes describe the evolution of populati...
International audienceThis paper covers the elaboration of a general class of multitype branching pr...
A general multitype branching process with sibling dependencies is considered. The dependencies with...
AbstractWe propose a stochastic process model for a population of individuals of two types. Type-I i...
We consider a class of multitype Galton-Watson branching processes with a countably infinite type se...
International audienceConditioned on the generating functions of offspring distribution, we study th...
We present two iterative methods for computing the global and partial extinction probability vectors...
Independence of reproducing individuals can be viewed as the very defining property of branching pro...
This paper extends the results of [1] to the multitype case. For a multitype branching process that ...
Using the ergodic theory of nonnegative matrices, conditions are obtained for the ℒ and almost sure ...
In a recent paper [7] a coupling method was used to show that if population size, or more generally ...