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.

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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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