Using the inverse distribution function method and the modified superposition method in the NMPUD computer system

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Using the inverse distribution function method and the modified superposition method in the NMPUD computer system. / Cherkashin, D. A.; Voytishek, A. V.

In: Journal of Physics: Conference Series, Vol. 2099, No. 1, 012071, 13.12.2021.

Research output: Contribution to journal › Conference article › peer-review

BibTeX

@article{07ce9b7d1a2f48f4accb57a2bce35d6a,

title = "Using the inverse distribution function method and the modified superposition method in the NMPUD computer system",

abstract = "This paper presents a computer system for modelling one-dimensional random variables NMPUD, developed in the laboratory of mathematical modelling of Lyceum No. 130 in Novosibirsk. The results of the numerical experiments and the considerations justifying the practicability for using in the NMPUD system: The elementary densities constructed by the technology of sequential (inserted) substitutions, the densities representing weighted sums of elementary densities (which can be simulated using the modified discrete superposition method), the algorithms for a piecewise linear approximation of unknown densities using a given sample, the algorithms of the modified superposition method for computational modelling of random variables with piecewise linear densities, are also presented.",

author = "Cherkashin, {D. A.} and Voytishek, {A. V.}",

note = "Funding Information: This work was supported by state contract with ICM&MG SB RAS (0251-2021-0002) Publisher Copyright: {\textcopyright} 2021 Institute of Physics Publishing. All rights reserved.; International Conference on Marchuk Scientific Readings 2021, MSR 2021 ; Conference date: 04-10-2021 Through 08-10-2021",

year = "2021",

month = dec,

day = "13",

doi = "10.1088/1742-6596/2099/1/012071",

language = "English",

volume = "2099",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

}

RIS

TY - JOUR

T1 - Using the inverse distribution function method and the modified superposition method in the NMPUD computer system

AU - Cherkashin, D. A.

AU - Voytishek, A. V.

PY - 2021/12/13

Y1 - 2021/12/13

N2 - This paper presents a computer system for modelling one-dimensional random variables NMPUD, developed in the laboratory of mathematical modelling of Lyceum No. 130 in Novosibirsk. The results of the numerical experiments and the considerations justifying the practicability for using in the NMPUD system: The elementary densities constructed by the technology of sequential (inserted) substitutions, the densities representing weighted sums of elementary densities (which can be simulated using the modified discrete superposition method), the algorithms for a piecewise linear approximation of unknown densities using a given sample, the algorithms of the modified superposition method for computational modelling of random variables with piecewise linear densities, are also presented.

AB - This paper presents a computer system for modelling one-dimensional random variables NMPUD, developed in the laboratory of mathematical modelling of Lyceum No. 130 in Novosibirsk. The results of the numerical experiments and the considerations justifying the practicability for using in the NMPUD system: The elementary densities constructed by the technology of sequential (inserted) substitutions, the densities representing weighted sums of elementary densities (which can be simulated using the modified discrete superposition method), the algorithms for a piecewise linear approximation of unknown densities using a given sample, the algorithms of the modified superposition method for computational modelling of random variables with piecewise linear densities, are also presented.

UR - http://www.scopus.com/inward/record.url?scp=85123698872&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/2099/1/012071

DO - 10.1088/1742-6596/2099/1/012071

M3 - Conference article

AN - SCOPUS:85123698872

VL - 2099

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012071

T2 - International Conference on Marchuk Scientific Readings 2021, MSR 2021

Y2 - 4 October 2021 through 8 October 2021

ER -

ID: 35377881