7 papers
Model choice and parameter inference in controlled branching processes
Miguel González, Carmen Minuesa, Inés del Puerto
Our purpose is to estimate the posterior distribution of the parameters of interest for controlled branching processes (CBPs) without prior knowledge of the maximum number of offsp…
A two-sex branching process with oscillations: application to predator-prey systems
Cristina Gutierrez, Carmen Minuesa
A two-type two-sex branching process is introduced with the aim of describing the interaction of predator and prey populations with sexual reproduction and promiscuous mating. In e…
Defective Galton-Watson processes in a varying environment
Götz Kersting, Carmen Minuesa
We study an extension of the so-called defective Galton-Watson processes obtained by allowing the offspring distribution to change over the generations. Thus, in these processes, t…
Parameter estimation in branching processes with almost sure extinction
Peter Braunsteins, Sophie Hautphenne, Carmen Minuesa
We consider population-size-dependent branching processes (PSDBPs) which eventually become extinct with probability one. For these processes, we derive maximum likelihood estimator…
A predator-prey two-sex branching process
Cristina Gutierrez, Carmen Minuesa
In this paper, we introduce a two-sex controlled branching model to describe the interaction between predator and prey populations with sexual reproduction. This process is a two-t…
Approximate Bayesian Computation in controlled branching processes: the role of summary statistics
M. González, R. Martínez, C. Minuesa +1
Controlled branching processes are stochastic growth population models in which the number of individuals with reproductive capacity in each generation is controlled by a random co…