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Titlebook: Counting Statistics for Dependent Random Events; With a Focus on Fina Enrico Bernardi,Silvia Romagnoli Book 2021 The Editor(s) (if applicab

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书目名称Counting Statistics for Dependent Random Events
副标题With a Focus on Fina
编辑Enrico Bernardi,Silvia Romagnoli
视频video
概述Proposes a novel approach to counting dependent random events, combining clustering, copulas and combinatorics.Includes examples and real-world data applications to demonstrate the new techniques.Redu
图书封面Titlebook: Counting Statistics for Dependent Random Events; With a Focus on Fina Enrico Bernardi,Silvia Romagnoli Book 2021 The Editor(s) (if applicab
描述.This book on counting statistics presents a novel copula-based approach to counting dependent random events. It combines clustering, combinatorics-based algorithms and dependence structure in order to tackle and simplify complex problems, without disregarding the hierarchy of or interconnections between the relevant variables. These problems typically arise in real-world applications and computations involving big data in finance, insurance and banking, where experts are confronted with counting variables in monitoring random events..In this new approach, combinatorial distributions of random events are the core element. In order to deal with the high-dimensional features of the problem, the combinatorial techniques are used together with a clustering approach, where groups of variables sharing common characteristics and similarities are identified and the dependence structure within groups is taken into account. The original problems can then be modeled using new classes of copulas, referred to here as clusterized copulas, which are essentially based on preliminary groupings of variables depending on suitable characteristics and hierarchical aspects..The book includes examples an
出版日期Book 2021
关键词counting statistics; counting random variables; copula function; clustering; combinatoric calculus; big d
版次1
doihttps://doi.org/10.1007/978-3-030-64250-1
isbn_softcover978-3-030-64252-5
isbn_ebook978-3-030-64250-1
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive licence to Springer Nature Switzerl
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Mysterien der Erlösung Kosmische DichtungThe goal of this chapter is to recover the distribution function of a counting random variable representing a countable event defined on a set of multidimensional variables, whose dependence structure is known. After a review of the existing main contributions in counting statistics, we will introduce our new approach to the problem.
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Combinatorics and Random Matrices: A Brief ReviewThe purpose of this chapter is to briefly introduce and review some fundamental concepts in counting and combinatorics which will be used in the subsequent chapters extensively.
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