Monotonic decrease of upper limit estimated with Gompertz model for data described using logistic model

DOI10.1007/S13160-018-0333-9zbMath1408.39015OpenAlexW2894638514WikidataQ129091009 ScholiaQ129091009MaRDI QIDQ1736463

Ryutaro Matsumura, Daisuke Satoh

Publication date: 26 March 2019

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-018-0333-9

zbMATH Keywords

exact solutiondiscrete equationmodel-selectionapplied discrete systemsGompertz curve modellogistic curve model

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Economic growth models (91B62) Applications of difference equations (39A60)

Related Items (4)

Property of logistic data exposed with Gompertz model and resistance to noise in actual data ⋮ Model selection among growth curve models that have the same number of parameters ⋮ Forecasting with full use of data without interpolation on logistic curve model with missing data ⋮ Riccati equation as topology-based model of computer worms and discrete SIR model with constant infectious period

Cites Work

• Modeling competition between two pharmaceutical drugs using innovation diffusion models
• Software reliability modeling. Fundamentals and applications
• A New Product Growth for Model Consumer Durables
• Period Three Implies Chaos
• Stochastic evolution of innovation diffusion in heterogeneous groups: study of life cycle patterns
• A DISCRETE BASS MODEL AND ITS PARAMETER ESTIMATION
• Optimal Product Launch Times in a Duopoly: Balancing Life-Cycle Revenues with Product Cost
• Parameter estimation of discrete logistic curve models for software reliability assessment

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