Bounds for the symmetric difference of generalized Marcum Q-functions

Arpad Baricz, Timea Meszaros

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Recently, an approximation for large values of a and b for the symmetric difference of Marcum Q-functions Qv(a, b) was given in [1] in the case of integer order, i.e. when v = n N. Motivated by this result, in this note we study the symmetric difference of Marcum Q-functions Qv(a, b) of real order v ≥ 1 for the parameters a > b > 0. Our aim is to use some of the lower and upper bounds of the Marcum Q-function that appear in the literature to obtain some tight bounds for the symmetric difference. Another approach, presented in this note, is to investigate the difference via closed forms of the Marcum Q-function.

Original languageEnglish
Title of host publicationSACI 2015 - 10th Jubilee IEEE International Symposium on Applied Computational Intelligence and Informatics, Proceedings
EditorsAniko Szakal
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages63-67
Number of pages5
ISBN (Electronic)9781479999118
DOIs
Publication statusPublished - Aug 17 2015
Event10th Jubilee IEEE International Symposium on Applied Computational Intelligence and Informatics, SACI 2015 - Timisoara, Romania
Duration: May 21 2015May 23 2015

Publication series

NameSACI 2015 - 10th Jubilee IEEE International Symposium on Applied Computational Intelligence and Informatics, Proceedings

Conference

Conference10th Jubilee IEEE International Symposium on Applied Computational Intelligence and Informatics, SACI 2015
CountryRomania
CityTimisoara
Period5/21/155/23/15

Keywords

  • Symmetric difference of Marcum Q-functions
  • approximations
  • lower and upper bounds

ASJC Scopus subject areas

  • Artificial Intelligence
  • Computer Science Applications

Cite this

Baricz, A., & Meszaros, T. (2015). Bounds for the symmetric difference of generalized Marcum Q-functions. In A. Szakal (Ed.), SACI 2015 - 10th Jubilee IEEE International Symposium on Applied Computational Intelligence and Informatics, Proceedings (pp. 63-67). [7208171] (SACI 2015 - 10th Jubilee IEEE International Symposium on Applied Computational Intelligence and Informatics, Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SACI.2015.7208171