Possible probabilistic characteristics of interval analysis procedures results

Standard

Possible probabilistic characteristics of interval analysis procedures results. / Kumkov, Sergey.
в: AIP Conference Proceedings, Том 2849, № 1, 190007, 2023.

Результаты исследований: Вклад в журнал › Материалы конференции › Рецензирование

BibTeX

@article{dbf831c510614727ae64ad53f9206ffb,

title = "Possible probabilistic characteristics of interval analysis procedures results",

abstract = "The paper describes computing the information interval of an interval measurements sample of physical value (constant) under the interval bound of the measuring errors. The standard procedures of Interval Analysis are used. On the hypothesis of some density probabilities distribution law (DPDL) of the measuring errors (in the given bounds), the Monte-Carlo Method is applied to compute: the DPDL of the central point of the information interval and one of its radius. The most practically popular cases of the measuring error are considered: the uniform DPDL and the truncated Gaussian DPDL in the given interval. The investigation is stipulated by the experimentalists{\textquoteright} demands for building the mentioned DPDL of the output central point and radius. It is in contrast to the Interval Analysis standard on the hypothesis of complete absence of probabilistic information on the error. Simulation results (the histograms of the output estimates) are given.",

author = "Sergey Kumkov",

year = "2023",

doi = "10.1063/5.0162491",

language = "English",

volume = "2849",

journal = "AIP Conference Proceedings",

issn = "0094-243X",

publisher = "American Institute of Physics Publising LLC",

number = "1",

}

RIS

TY - JOUR

T1 - Possible probabilistic characteristics of interval analysis procedures results

AU - Kumkov, Sergey

PY - 2023

Y1 - 2023

N2 - The paper describes computing the information interval of an interval measurements sample of physical value (constant) under the interval bound of the measuring errors. The standard procedures of Interval Analysis are used. On the hypothesis of some density probabilities distribution law (DPDL) of the measuring errors (in the given bounds), the Monte-Carlo Method is applied to compute: the DPDL of the central point of the information interval and one of its radius. The most practically popular cases of the measuring error are considered: the uniform DPDL and the truncated Gaussian DPDL in the given interval. The investigation is stipulated by the experimentalists’ demands for building the mentioned DPDL of the output central point and radius. It is in contrast to the Interval Analysis standard on the hypothesis of complete absence of probabilistic information on the error. Simulation results (the histograms of the output estimates) are given.

AB - The paper describes computing the information interval of an interval measurements sample of physical value (constant) under the interval bound of the measuring errors. The standard procedures of Interval Analysis are used. On the hypothesis of some density probabilities distribution law (DPDL) of the measuring errors (in the given bounds), the Monte-Carlo Method is applied to compute: the DPDL of the central point of the information interval and one of its radius. The most practically popular cases of the measuring error are considered: the uniform DPDL and the truncated Gaussian DPDL in the given interval. The investigation is stipulated by the experimentalists’ demands for building the mentioned DPDL of the output central point and radius. It is in contrast to the Interval Analysis standard on the hypothesis of complete absence of probabilistic information on the error. Simulation results (the histograms of the output estimates) are given.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85176810719

U2 - 10.1063/5.0162491

DO - 10.1063/5.0162491

M3 - Conference article

VL - 2849

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

SN - 0094-243X

IS - 1

M1 - 190007

ER -

ID: 48510036