Weighted conditional least square estimators for bisexual branching processes with immigration

DOI10.1007/s11749-010-0220-4zbMath1274.62550OpenAlexW2140409584MaRDI QIDQ1761547

Miguel González, Manuel Mota, Inés M. del Puerto

Publication date: 15 November 2012

Published in: Test (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11749-010-0220-4

zbMATH Keywords

consistencyimmigrationlimiting distributionsupercriticalbisexual branching processessubcriticalweighted conditional least squares

Mathematics Subject Classification ID

Markov processes: estimation; hidden Markov models (62M05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

• Geometric growth for stochastic difference equations with application to branching populations
• Estimation of the offspring mean in a controlled branching process with a random control function
• Asymptotic distribution of the CLSE in a critical process with immigration
• Estimation of the means in the branching process with immigration
• Estimation of the variances in the branching process with immigration
• Invalidity of bootstrap for critical branching processes with immigration
• Limit behaviour for a subcritical bisexual Galton-Watson branching process with immigration
• A modified bootstrap for branching processes with immigration
• On asymptotic normality of sequential estimators for branching processes with immigration
• On the limit behavior of a supercritical bisexual Galton–Watson branching process with immigration of mating units
• A necessary condition for extinction in those bisexual Galton-Watson branching processes governed by superadditive mating functions
• Validity of sequential bootstrap for subcritical and critical branching processes
• ESTIMATION OF THE OFFSPRING DISTRIBUTION AND THE MEAN VECTOR FOR A BISEXUAL GALTON-WATSON PROCESS
• Branching Processes
• Extinction conditions for certain bisexual Galton-Watson branching processes
• Fluctuation limit of branching processes with immigration and estimation of the means
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