On parameter estimation for stochastic logistic growth laws through the maximum likelihood procedure
Articles
Petras Rupšys
Lithuanian Academy of Agriculture
Published 2004-12-17
https://doi.org/10.15388/LMR.2004.32259
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Keywords

stochastic differential equation
approximation
local linearization
simulation
stand

How to Cite

Rupšys, P. (2004) “On parameter estimation for stochastic logistic growth laws through the maximum likelihood procedure”, Lietuvos matematikos rinkinys, 44(spec.), pp. 759–762. doi:10.15388/LMR.2004.32259.

Abstract

A three alternative stochastic logistic growth models (exponential, Verhulst, Gompertz) are used for modelling of growth processes. The aim of this paper is to develop stochastic growth curves for all three stochastic growth models. Estimates of parameters of the stochastic growth models are performed by the maximum likelihood procedure with the local linearization method. The Milshtein discrete time approximation for the solutions of stochastic differential equations is applied.

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