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Topological Perspectives on Statistical Quantities II

2017/10/17 by Nissim Ranade, Ranade, Nissim
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topology and Set Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1710.06381

openalex publication_date 2017/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

C_∞ Algebras and their morphisms are a framework in which one can study algebras and their maps that are not commutaive-associative but are homotopic to being that. In statistics cumulants measure the independence of random variables. Another way of describing them would be as measure of deviation from being an algebra map. In this paper we explore the notion of cumulants of C_∞ morphisms. This uses a previous analysis about Boolean cumulants of A_∞ morphisms.

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