Near-exact distributions for positive linear combinations of independent non-central Gamma random variables

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Abstract

In this paper near-exact distributions for positive linear combinations of independent non-central Gamma random variables are developed. The authors show that through an adequate factorization of the characteristic function it is possible to obtain precise near-exact distributions which correspond to mixtures of Generalized Near-Integer Gamma distributions. Numerical studies are conducted in order to assess the precision of these approximations.

Original languageEnglish
Title of host publicationProceedings of the International Conference of Numerical Analysis and Applied Mathematics 2015 (ICNAAM 2015)
EditorsT. E. Simos, C. Tsitouras
Place of PublicationNew York, USA
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)978-073541392-4
DOIs
Publication statusPublished - 8 Jun 2016
EventInternational Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015 - Rhodes, Greece
Duration: 23 Sep 201529 Sep 2015

Publication series

NameAIP Conference Proceedings
PublisherAmerican Institute of Physics Inc.
Volume1738
ISSN (Print)0094-243X

Conference

ConferenceInternational Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015
CountryGreece
CityRhodes
Period23/09/1529/09/15

Keywords

  • Characteristic function
  • Gamma distribution
  • Generalized Near-Integer Gamma distribution
  • Mixtures

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