The Choice of an Appropriate Stochastic Order to Aggregate Random Variables

  1. Baz, Juan 1
  2. Díaz, Irene 1
  3. Montes, Susana 1
  1. 1 Universidad de Oviedo
    info

    Universidad de Oviedo

    Oviedo, España

    ROR https://ror.org/006gksa02

Book:
Building Bridges between Soft and Statistical Methodologies for Data Science

Publisher: Springer

ISSN: 2194-5357 2194-5365

ISBN: 9783031155086 9783031155093

Year of publication: 2022

Pages: 40-47

Type: Book chapter

DOI: 10.1007/978-3-031-15509-3_6 GOOGLE SCHOLAR

Abstract

Aggregation functions have been widely used as a method to fuse data in a large number of applications. In most of them, the data can be modeled as a simple random sample. Thus, it is reasonable to treat the aggregated values as random variables. In this paper, the concept of aggregation functions of random variables with respect to a stochastic order is presented. Additionally, four alternatives for the choice of the adequate order are considered and their benefits and drawbacks are studied.

Funding information

This research has been partially supported by the Spanish Ministry of Science and Technology (TIN-2017-87600-P and PGC2018- 098623-B-I00).

Funders

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