Simple bounds for the generalised Marcum Q-function

Richard B. Paris

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

This paper proposes new bounds for the generalised Marcum Q-function Q_v(a; b) that involve the normalised incomplete gamma functions.

Numerical results are presented to illustrate the sharpness of the bounds and provide a comparison with existing bounds in the literature.
Original languageEnglish
Pages (from-to)1-9
Number of pages9
JournalInternational Journal of Applied Mathematics and Statistics
Volume39
Issue number9
Publication statusPublished - 2013

Fingerprint

Q-function
Incomplete gamma Function
Sharpness
Numerical Results

Cite this

@article{b9cb0f7baa2c48bd81de8d4ea56e46c3,
title = "Simple bounds for the generalised Marcum Q-function",
abstract = "This paper proposes new bounds for the generalised Marcum Q-function Q_v(a; b) that involve the normalised incomplete gamma functions.Numerical results are presented to illustrate the sharpness of the bounds and provide a comparison with existing bounds in the literature.",
author = "Paris, {Richard B.}",
year = "2013",
language = "English",
volume = "39",
pages = "1--9",
journal = "International Journal of Applied Mathematics and Statistics",
issn = "0973-1377",
publisher = "Centre for Environment Social and Economic Research",
number = "9",

}

Simple bounds for the generalised Marcum Q-function. / Paris, Richard B.

In: International Journal of Applied Mathematics and Statistics, Vol. 39, No. 9, 2013, p. 1-9.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Simple bounds for the generalised Marcum Q-function

AU - Paris, Richard B.

PY - 2013

Y1 - 2013

N2 - This paper proposes new bounds for the generalised Marcum Q-function Q_v(a; b) that involve the normalised incomplete gamma functions.Numerical results are presented to illustrate the sharpness of the bounds and provide a comparison with existing bounds in the literature.

AB - This paper proposes new bounds for the generalised Marcum Q-function Q_v(a; b) that involve the normalised incomplete gamma functions.Numerical results are presented to illustrate the sharpness of the bounds and provide a comparison with existing bounds in the literature.

M3 - Article

VL - 39

SP - 1

EP - 9

JO - International Journal of Applied Mathematics and Statistics

JF - International Journal of Applied Mathematics and Statistics

SN - 0973-1377

IS - 9

ER -