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Closure Properties for Heavy-Tailed and Related Distributions

An Overview

  • Book
  • © 2023

Overview

  • Presents 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 references for deeper study

Part of the book series: SpringerBriefs in Statistics (BRIEFSSTATIST)

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Table of contents (6 chapters)

Keywords

About this book

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.

Authors and Affiliations

  • Institute of Applied Mathematics, Vilnius University, Vilnius, Lithuania

    Remigijus Leipus

  • Institute of Mathematics, Vilnius University, Vilnius, Lithuania

    Jonas Šiaulys

  • Department of Statistics and Actuarial - Financial Mathematics, University of the Aegean, Karlovassi, Greece

    Dimitrios Konstantinides

About the authors

Remigijus Leipus is a Professor at the Institute of Applied Mathematics, Vilnius University, Lithuania. His research interests include time series analysis, extreme value theory, insurance mathematics, financial econometrics and financial mathematics.

Jonas Šiaulys is a Professor at the Institute of Mathematics, Vilnius University, Lithuania. His research interests include probability theory, number theory and insurance mathematics.

Dimitrios Konstantinides is a Professor at the Department of Statistics and Actuarial-Financial Mathematics, University of the Aegean, Karlovassi, Greece. His research interests include actuarial mathematics, financial mathematics and risk theory.


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