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Aggregations of random variables have appeared as a way to model aggregation processes in which the input data is seen as observations of random variables. However, its definition includes many other scenarios that have not yet been studied in detail. This paper is devoted to define and study several families of aggregations of random variables that go beyond the aggregation of random inputs. Different characterizations, the relation between them and some illustrative examples are provided.

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Taxonomy of Aggregations of Random Variables

  • 会议论文

  • 发表日期：

    2025年

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  • Juan Baz,
  • Gleb Beliakov,
  • Irene Díaz,
  • Susana Montes

摘要

Aggregations of random variables have appeared as a way to model aggregation processes in which the input data is seen as observations of random variables. However, its definition includes many other scenarios that have not yet been studied in detail. This paper is devoted to define and study several families of aggregations of random variables that go beyond the aggregation of random inputs. Different characterizations, the relation between them and some illustrative examples are provided.