Quantile Based Summation of Random Variables

D 2021

Quantile Based Summation of Random Variables

EMIR, Kadir, David KRUML, Jan PASEKA and Iveta SELINGEROVÁ

Basic information

Original name

Quantile Based Summation of Random Variables

Authors

EMIR, Kadir (792 Turkey, belonging to the institution), David KRUML (203 Czech Republic, guarantor, belonging to the institution), Jan PASEKA (203 Czech Republic, belonging to the institution) and Iveta SELINGEROVÁ (203 Czech Republic, belonging to the institution)

Edition

Paris, Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP), p. 523-529, 7 pp. 2021

Publisher

Atlantis Press

Other information

Language

English

Type of outcome

Stať ve sborníku

Field of Study

10101 Pure mathematics

Country of publisher

France

Confidentiality degree

není předmětem státního či obchodního tajemství

Publication form

electronic version available online

References:

URL

RIV identification code

RIV/00216224:14310/21:00119864

Organization unit

Faculty of Science

ISBN

978-94-6239-423-0

ISSN

DOI

http://dx.doi.org/10.2991/asum.k.210827.069

Keywords in English

Fuzzy probability; production plan; reliability in manufacturing; aggregation of random effects; order statistics; quantile estimation

Abstract

V originále

A simplified calculus for aggregation of random variables is derived. The calculus provides a fast and simple estimation of a given quantile. It can be applied for testing of desired reliability of a production plan.

Links

FW03010296, research and development project

Name: Praktické využití velkých dat pro inteligentní rozhodovací systém výrobního toku

Investor: Technology Agency of the Czech Republic, Subprograms 1 Technology leaders

MUNI/A/1160/2020, interní kód MU

Name: Matematické struktury 10 (Acronym: Matematické struktury 10)

Investor: Masaryk University

Citovat

EMIR, Kadir, David KRUML, Jan PASEKA and Iveta SELINGEROVÁ. Quantile Based Summation of Random Variables. Online. In Radko Mesiar; Marek Reformat; Martin Štěpnička; Petr Hurtik. Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP). Paris: Atlantis Press, 2021, p. 523-529. ISBN 978-94-6239-423-0. Available from: https://dx.doi.org/10.2991/asum.k.210827.069.

@inproceedings{1800657,
   author = {Emir, Kadir and Kruml, David and Paseka, Jan and Selingerová, Iveta},
   address = {Paris},
   booktitle = {Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)},
   doi = {http://dx.doi.org/10.2991/asum.k.210827.069},
   editor = {Radko Mesiar; Marek Reformat; Martin Štěpnička; Petr Hurtik},
   keywords = {Fuzzy probability; production plan; reliability in manufacturing; aggregation of random effects; order statistics; quantile estimation},
   howpublished = {elektronická verze "online"},
   language = {eng},
   location = {Paris},
   isbn = {978-94-6239-423-0},
   pages = {523-529},
   publisher = {Atlantis Press},
   title = {Quantile Based Summation of Random Variables},
   url = {https://doi.org/10.2991/asum.k.210827.069},
   year = {2021}
}

TY  - JOUR
ID  - 1800657
AU  - Emir, Kadir - Kruml, David - Paseka, Jan - Selingerová, Iveta
PY  - 2021
TI  - Quantile Based Summation of Random Variables
PB  - Atlantis Press
CY  - Paris
SN  - 9789462394230
KW  - Fuzzy probability
KW  - production plan
KW  - reliability in manufacturing
KW  - aggregation of random effects
KW  - order statistics
KW  - quantile estimation
UR  - https://doi.org/10.2991/asum.k.210827.069
N2  - A simplified calculus for aggregation of random variables is derived. The calculus provides a fast and simple estimation of a given quantile. It can be applied for testing of desired reliability of a production plan.
ER  -

EMIR, Kadir, David KRUML, Jan PASEKA and Iveta SELINGEROVÁ. Quantile Based Summation of Random Variables. Online. In Radko Mesiar; Marek Reformat; Martin Štěpnička; Petr Hurtik. \textit{Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)}. Paris: Atlantis Press, 2021, p.~523-529. ISBN~978-94-6239-423-0. Available from: https://dx.doi.org/10.2991/asum.k.210827.069.

Detailed Information on Publication Record