01088nam--2200337---450-99000583523020331620130424120614.0000583523USA01000583523(ALEPH)000583523USA0100058352320130424d2001----km-y0itay50------baitaITa|||z|||001yyFerrante Imperatocollezionismo e studio della natura a Napoli tra Cinque e SeicentoEnrica Stendardo[Napoli]Accademia Pontaniana2001105 p.ill.24 cmQuaderni dell'Accademia Pontaniana312001Quaderni dell'Accademia Pontaniana31Collezioni scientificheNapoliSec. 16.Ruolo [di] Imperato, FerranteBNCF508.092STENDARDO,Enrica43982ITsalbcISBD990005835230203316XV.8. 1627 20223761 L.M.XV.8.BKFSOANNAMARIA9020130424USA011206Ferrante Imperato152713UNISA02132nam 2200505zu 450 991037638270332120210807005148.01-4503-2738-9(CKB)3780000000085580(SSID)ssj0001341713(PQKBManifestationID)11951672(PQKBTitleCode)TC0001341713(PQKBWorkID)11277964(PQKB)11345388(WaSeSS)IndRDA00027519(Association for Computing Machinery)10.5555/2615731(EXLCZ)99378000000008558020160829d2014 uy engur|||||||||||txtccrAAMAS '14 : proceedings of the 2014 International Conference on Autonomous Agents & Multiagent Systems : May 5-9, 2014, Paris, France[Place of publication not identified]International Foundation for Autonomous Agents and Multiagent Systems20141 online resource (1754 pages)ACM Other conferencesBibliographic Level Mode of Issuance: MonographACM Other conferencesAutonomous Agents and Multiagent Systems '14 :proceedings of the 2014 International Conference on Autonomous Agents and Multi-Agent Systems : May 5-9, 2014, Paris, FranceProceedings of the 2014 International Conference on Autonomous Agents and Multi-Agent SystemsAAMAS '14International conference on Autonomous Agents and Multi-Agent Systems, Paris, France - May 05 - 09, 2014Engineering & Applied SciencesHILCCComputer ScienceHILCCEngineering & Applied SciencesComputer ScienceBazzan Ana867510SIGARTInternational Foundation for Autonomous Agents and Multiagent SystemsPQKBBOOK9910376382703321AAMAS '14 : proceedings of the 2014 International Conference on Autonomous Agents & Multiagent Systems : May 5-9, 2014, Paris, France1936274UNINA05783nam 22006855 450 991074609900332120251009083449.03-031-34553-310.1007/978-3-031-34553-1(MiAaPQ)EBC30745207(Au-PeEL)EBL30745207(DE-He213)978-3-031-34553-1(PPN)27273635X(CKB)28225227300041(EXLCZ)992822522730004120230914d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierClosure Properties for Heavy-Tailed and Related Distributions An Overview /by Remigijus Leipus, Jonas Šiaulys, Dimitrios Konstantinides1st ed. 2023.Cham :Springer Nature Switzerland :Imprint: Springer,2023.1 online resource (99 pages)SpringerBriefs in Statistics,2191-5458Print version: Leipus, Remigijus Closure Properties for Heavy-Tailed and Related Distributions Cham : Springer,c2023 9783031345524 Intro -- Preface -- Contents -- Acronyms -- 1 Introduction -- 1.1 An Overview of the Book -- 1.2 Notations and Definitions -- 2 Heavy-Tailed and Related Classes of Distributions -- 2.1 Heavy-Tailed Distributions -- 2.2 Regularly Varying Distributions -- 2.3 Consistently Varying Distributions -- 2.4 Dominatedly Varying Distributions -- 2.5 Long-Tailed Distributions -- 2.6 Exponential-Like-Tailed Distributions -- 2.7 Generalized Long-Tailed Distributions -- 2.8 Subexponential Distributions -- 2.9 Strong Subexponential Distributions -- 2.10 Convolution Equivalent Distributions -- 2.11 Generalized Subexponential Distributions -- 2.12 Bibliographical Notes -- 3 Closure Properties Under Tail-Equivalence, Convolution, Finite Mixing, Maximum, and Minimum -- 3.1 Ruin Probability in the Cramér-Lundberg Risk Model in the Case of Heavy-Tailed Claims -- 3.2 Convolution Closure and Max-Sum Equivalence -- 3.3 Closure Properties for Heavy-Tailed Class of Distributions -- 3.4 Closure Properties for Regularly Varying Class of Distributions -- 3.5 Closure Properties for Consistently Varying Class of Distributions -- 3.6 Closure Properties for Dominatedly Varying Class of Distributions -- 3.7 Closure Properties for Long-Tailed Class of Distributions -- 3.8 Closure Properties for Exponential-Like-Tailed Class of Distributions -- 3.9 Closure Properties for Generalized Long-Tailed Class of Distributions -- 3.10 Closure Properties for Subexponential Class of Distributions -- 3.11 Closure Properties for Strong Subexponential Class of Distributions -- 3.12 Closure Properties for Convolution Equivalent Class of Distributions -- 3.13 Closure Properties for Generalized Subexponential Class of Distributions -- 3.14 Bibliographical Notes -- 4 Convolution-Root Closure -- 4.1 Distribution Classes Closed Under Convolution Roots.4.2 Distribution Classes Not Closed Under Convolution Roots -- 4.3 Bibliographical Notes -- 5 Product-Convolution of Heavy-Tailed and Related Distributions -- 5.1 Product-Convolution -- 5.2 From Light Tails to Heavy Tails Through Product-Convolution -- 5.3 Product-Convolution Closure Properties for Heavy-Tailed Class of Distributions -- 5.4 Product-Convolution Closure Properties for Regularly Varying Class of Distributions -- 5.5 Product-Convolution Closure Properties for Consistently Varying Class of Distributions -- 5.6 Product-Convolution Closure Properties for Dominatedly Varying Class of Distributions -- 5.7 Product-Convolution Closure Properties for Exponential-Like-Tailed Distributions -- 5.8 Product-Convolution Closure Properties for Generalized Long-Tailed Class of Distributions -- 5.9 Product-Convolution Closure Properties for Convolution Equivalent Class of Distributions -- 5.10 Product-Convolution Closure Properties for Generalized Subexponential Class of Distributions -- 5.11 Some Extensions -- 5.12 Bibliographical Notes -- 6 Summary of Closure Properties -- References -- Index.This book provides a compact and systematic overview of closure properties of heavy-tailed and related distributions, including closure under tail equivalence, convolution, finite mixing, maximum, minimum, convolution power and convolution roots, and product-convolution closure. It includes examples and counterexamples that give an insight into the theory and provides numerous references to technical details and proofs for a deeper study of the subject. The book will serve as a useful reference for graduate students, young researchers, and applied scientists.SpringerBriefs in Statistics,2191-5458ProbabilitiesDistribution (Probability theory)Stochastic modelsActuarial scienceApplied ProbabilityDistribution TheoryProbability TheoryStochastic Modelling in StatisticsActuarial MathematicsProbabilities.Distribution (Probability theory)Stochastic models.Actuarial science.Applied Probability.Distribution Theory.Probability Theory.Stochastic Modelling in Statistics.Actuarial Mathematics.519.24Leipus Remigijus1427843Siaulys Jonas1427844Konstantinides Dimitrios1427845MiAaPQMiAaPQMiAaPQBOOK9910746099003321Closure Properties for Heavy-Tailed and Related Distributions3562765UNINA