Statistical inference for some volterra population processes in a random environment

DOI10.2307/3314813zbMath0569.62072OpenAlexW2053661105MaRDI QIDQ3685890

Reg J. Kulperger, Peter Guttorp

Publication date: 1984

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/b5460c0f97c21de22983f1628ba71206c0e6bdf1

zbMATH Keywords

consistencyasymptotic normalitylogistic modelrandom environmentgoodness-of-fitmaximum likelihood estimatorsBrownian processItô integralsrenewable-resourcetime-lag modelVolterra population processes

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Non-Markovian processes: estimation (62M09) Markov processes: estimation; hidden Markov models (62M05) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25)

Related Items (5)

Estimation of parameters for diffusion processes with jumps from discrete observations ⋮ Parametric estimation for discretely observed stochastic processes with jumps ⋮ Stochastic differential equations in mathematical demography: A review ⋮ Stochastic differential equations in mathematical demography: A review ⋮ Statistical specification of jumps under semiparametric semimartingale models

Cites Work

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• Criticality conditions for some random environment population processes
• Asymptotic likelihood theory for diffusion processes
• Some comments concerning a curious singularity
• Second Order Itô Processes

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