12 citations · 21 across the 12 of their papers we have counts for
15 papers
Large Deviations for Controlled Branching Processes: Random Slopes, Harmonic Moments, and Transfer Principles
Miguel González, Carmen Minuesa, Inés del Puerto +1
Let \(\{X_n:n\ge0\}\) be a controlled branching process with controls \(ϕ_n\), and let \(N_n=ϕ_n(X_n)\) be its progenitor count. We study large deviations of \(X_{n+1}/N_n\), \(N_n…
Predator-prey density-dependent branching processes
Cristina Gutiérrez, Carmen Minuesa
Two density-dependent branching processes are considered to model predator-prey populations. For both models, preys are considered to be the main food supply of predators. Moreover…
An inhomogeneous controlled branching process
Miguel González, Carmen Minuesa, Manuel Mota +2
A discrete time branching process where the offspring distribution is generation-dependent, and the number of reproductive individuals is controlled by a random mechanism is consid…
Branching processes in varying environment with generation-dependent immigration
Miguel González, Goetz Kersting, Carmen Minuesa +1
A branching process in varying environment with generation-dependent immigration is a modification of the standard branching process in which immigration is allowed and the reprodu…
Consistent least squares estimation in population-size-dependent branching processes
Peter Braunsteins, Sophie Hautphenne, Carmen Minuesa
We derive the first conditionally consistent estimators for a class of parametric Markov population models with logistic growth, which are suitable for modelling endangered populat…
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…
Robust estimation in controlled branching processes: Bayesian estimators via disparities
M. González, C. Minuesa, I. del Puerto +1
This paper is concerned with Bayesian inferential methods for data from controlled branching processes that account for model robustness through the use of disparities. Under regul…
Defective Galton-Watson processes
Serik Sagitov, Carmen Minuesa
The Galton-Watson process is a Markov chain modeling the population size of independently reproducing particles giving birth to offspring with probability , . In th…
Minimum disparity estimation in controlled branching processes
Miguel Gonzalez, Carmen Minuesa, Ines del Puerto
Minimum disparity estimation in controlled branching processes is dealt with by assuming that the offspring law belongs to a general parametric family. Under some regularity condit…
Maximum likelihood estimation and Expectation-Maximization algorithm for controlled branching processes
M. Gonzalez, C. Minuesa, I. del Puerto
The controlled branching process is a generalization of the classical Bienaymé-Galton-Watson branching process. It is a useful model for describing the evolution of populations in…