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Dobronets, Boris S.

doi:10.1023/a:1009983126109

Cited by 2 publications

(3 citation statements)

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“…We also have proposed the arithmetic operations on probability density functions and procedures for constructing probabilistic extensions as the basis of computational probabilistic analysis [3][4][5][6][7][8][9].…”

Section: Resultsmentioning

confidence: 99%

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The Reliability of Numerical Modeling in Remote Sensing Data Analysis

Dobronets

Popova

2020

E3S Web Conf.

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The article deals with the problem of calculating reliable estimates of empirical distribution functions under conditions of small sample and data uncertainty. To study these issues, we develope computational probabilistic analysis as a new area in computational statistics. We propose a new approach based on random interpolation polynomials and order statistics. Arithmetic operations on probability density functions and procedures for constructing the probabilistic extensions are used.

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Section: Resultsmentioning

confidence: 99%

“…, x n and (ii) the real arithmetic operations with corresponding probabilistic operations. The result f is called a natural probabilistic extension [8]. .…”

Section: Definitionmentioning

confidence: 99%

The Reliability of Numerical Modeling in Remote Sensing Data Analysis

Dobronets

Popova

2020

E3S Web Conf.

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“…The decision of system (1) in the conditions of (2) can be received by various numerical methods of the Cauchy problem interval solution [3]. In [4] the algorithm of the combined method of the sensitivity interval analysis adapted for the solution of chemical kinetics problems is described.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Substances Concentration Sensitivity to the Variation of Kinetic Parameters

2015

American Research Journal of Mathematics

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Abstract:The paper shows a technique of researching of the direct kinetic problem sensitivity to the variation of the kinetic parameters within a given range. This technique is based on use of the computing device of the interval analysis. The direct problem solution in the conditions of kinetic parameters uncertainty was received by the interval method of the solution of a Cauchy problem for differential equations system. This interval method was adapted to the problems of chemical kinetics. The interval characteristics received during this method application were used for research of reagents and products concentration sensitivity in relation to kinetic parameters of mathematical model of industrially important reaction.Keywords: chemical kinetics, direct kinetic problem, interval analysis, sensitivity of the decision, uncertainty range of kinetic parameters.

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Cited by 2 publications

References 3 publications

The Reliability of Numerical Modeling in Remote Sensing Data Analysis

The Reliability of Numerical Modeling in Remote Sensing Data Analysis

Analysis of Substances Concentration Sensitivity to the Variation of Kinetic Parameters

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