New Method of Randomized Forecasting Using Entropy-Robust Estimation: Application to the World Population Prediction

We propose a new method of randomized forecasting (RF-method), which operates with models described by systems of linear ordinary differential equations with random parameters. The RF-method is based on entropy-robust estimation of the probability density functions (PDFs) of model parameters and mea...

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Published inMathematics (Basel) Vol. 4; no. 1; p. 16
Main Authors Popkov, Yuri, Dubnov, Yuri, Popkov, Alexey
Format Journal Article
LanguageEnglish
Published MDPI AG 01.03.2016
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ISSN2227-7390
2227-7390
DOI10.3390/math4010016

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Abstract We propose a new method of randomized forecasting (RF-method), which operates with models described by systems of linear ordinary differential equations with random parameters. The RF-method is based on entropy-robust estimation of the probability density functions (PDFs) of model parameters and measurement noises. The entropy-optimal estimator uses a limited amount of data. The method of randomized forecasting is applied to World population prediction. Ensembles of entropy-optimal prognostic trajectories of World population and their probability characteristics are generated. We show potential preferences of the proposed method in comparison with existing methods.
AbstractList We propose a new method of randomized forecasting (RF-method), which operates with models described by systems of linear ordinary differential equations with random parameters. The RF-method is based on entropy-robust estimation of the probability density functions (PDFs) of model parameters and measurement noises. The entropy-optimal estimator uses a limited amount of data. The method of randomized forecasting is applied to World population prediction. Ensembles of entropy-optimal prognostic trajectories of World population and their probability characteristics are generated. We show potential preferences of the proposed method in comparison with existing methods.
Author Popkov, Yuri
Dubnov, Yuri
Popkov, Alexey
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Snippet We propose a new method of randomized forecasting (RF-method), which operates with models described by systems of linear ordinary differential equations with...
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StartPage 16
SubjectTerms entropy
randomized forecasting
randomized model
the exponential World population model
Title New Method of Randomized Forecasting Using Entropy-Robust Estimation: Application to the World Population Prediction
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