On local asymptotic normality for birth and death on a flow

DOI10.1016/S0304-4149(99)00022-8zbMath0997.60092MaRDI QIDQ1613627

P. Höpfner, Eva Löcherbach

Publication date: 29 August 2002

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic efficiencylocal asymptotic normalityminimum distance estimatorsbirth and death on a flow

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

Maximum likelihood estimators for a supercritical branching diffusion process ⋮ Asymptotic behavior of maximum likelihood estimators in a branching diffusion model

Cites Work

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• On weak convergence of integral functionals of stochastic processes with applications to processes taking paths in \(L^ E_ p\)
• Asymptotics in statistics: some basic concepts
• Local asymptotic mixed normality for semimartingale experiments
• A quasi likelihood for integral data on birth and death on flows
• Approach to stationarity for birth and death on flows
• Asymptotic likelihood estimation from birth and death on a flow
• Transient tracers and birth and death on flows: Parametric estimation of rates of drift, injection, and decay
• A General Approach to the Optimality of Minimum Distance Estimators
• A limit theorem for measurable random processes and its applications
• On Minimum Distance Estimation in Recurrent Markov Step Processes. I
• Statistical Models for Birth and Death on a Flow: Local Absolute Continuity and Likelihood Ratio Processes
• A Girsanov transformation for birth and death on a Brownian flow
• A characterization of limiting distributions of regular estimates