Titlebook: Closure Properties for Heavy-Tailed and Related Distributions; An Overview Remigijus Leipus,Jonas Šiaulys,Dimitrios Konstanti Book 2023 The

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Convolution-Root Closure,ons is caused by the inclusion of . to the same family. Such an implication is called a convolution-root closure. This chapter is devoted to the convolution-root closure properties for the distribution classes described in Chap. .. We determine the classes which are closed under convolution roots and which are not.

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978-3-031-34552-4The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Closure Properties for Heavy-Tailed and Related Distributions978-3-031-34553-1Series ISSN 2191-544X Series E-ISSN 2191-5458

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Was verursacht Schizophrenien?,ons is caused by the inclusion of . to the same family. Such an implication is called a convolution-root closure. This chapter is devoted to the convolution-root closure properties for the distribution classes described in Chap. .. We determine the classes which are closed under convolution roots and which are not.

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Remigijus Leipus,Jonas Šiaulys,Dimitrios KonstantiPresents a concise overview of closure properties of heavy-tailed and related distributions.Features several examples and counterexamples that provide an insight into the theory.Provides numerous refe

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Zusammenfassende Schlussbemerkungen,s. In Sect. 3.3, we discuss the convolution closure properties in relation to the notion of max-sum equivalence. In further sections, we overview and discuss the closure properties of the heavy-tailed and related distributions, introduced in Chap. ., under strong/weak tail-equivalence, convolution,