Gompertz growth model in random environment with time-dependent diffusion

DOI10.1080/15598608.2017.1309307zbMath1435.62385OpenAlexW2604081887MaRDI QIDQ2321810

Prajneshu, Himadri Ghosh

Publication date: 23 August 2019

Published in: Journal of Statistical Theory and Practice (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15598608.2017.1309307

zbMATH Keywords

stochastic differential equationoptimal predictioninterval estimationGompertz modelnonhomogeneous transition probabilitytime-varying diffusion

Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Applications of statistics to biology and medical sciences; meta analysis (62P10) Diffusion processes (60J60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (3)

An analytic study of the Ornstein-Uhlenbeck process with time-varying coefficients in the modeling of anomalous diffusions ⋮ A generalized Gompertz growth model with applications and related birth-death processes ⋮ Time-inhomogeneous Feller-type diffusion process with absorbing boundary condition

Cites Work

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• A stochastic Gompertz model highlighting internal and external therapy function for tumour growth
• Invariant distribution of stochastic Gompertz equation under regime switching
• Bayesian Analysis of Growth Curves Using Mixed Models Defined by Stochastic Differential Equations
• Introduction to Stochastic Models in Biology
• Prediction for Individual Growth in a Random Environment
• Bootstrap study of parameter estimates for nonlinear Richards growth model through genetic algorithm

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