Bayesian Analysis for Controlled Branching Processes

DOI10.1007/978-3-319-31641-3_11zbMath1354.60092OpenAlexW2513897619MaRDI QIDQ3179786

Cristina Gutiérrez, Rodrigo Martínez, Inés M. del Puerto, Carmen Minuesa, Miguel González

Publication date: 20 December 2016

Published in: Branching Processes and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-31641-3_11

zbMATH Keywords

Bayesian analysispopulation dynamicscontrolled branching processes

Mathematics Subject Classification ID

Bayesian problems; characterization of Bayes procedures (62C10) Applications of branching processes (60J85) Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

Approximate Bayesian computation in controlled branching processes: the role of summary statistics, Approximate Bayesian computation approach on the maximal offspring and parameters in controlled branching processes

Uses Software

• R
• Snow
• CODA
• Rmpi
• snow

Cites Work

• Unnamed Item
• Unnamed Item
• Bayesian inference for controlled branching processes through MCMC and ABC methodologies
• Asymptotic distributions for weighted estimators of the offspring mean in a branching process
• Estimation of the offspring mean in a controlled branching process with a random control function
• Non-parametric Bayesian estimation for multitype branching processes through simulation-based methods
• Bayesian conjugate analysis of the Galton-Watson process
• Maximum likelihood estimation and expectation-maximization algorithm for controlled branching processes
• Inference from iterative simulation using multiple sequences
• Markov chains for exploring posterior distributions. (With discussion)
• Some recent theory for autoregressive count time series
• Estimation of the variance for a controlled branching process
• Nonparametric estimation of the offspring distribution and the mean for a controlled branching process
• On asymptotic posterior normality for controlled branching processes
• On the almost sure convergence of controlled branching processes
• On the class of controlled branching processes with random control functions
• Asymptotic behaviour of critical controlled branching processes with random control functions