### Abstract

Recently, an approximation for large values of a and b for the symmetric difference of Marcum Q-functions Q_{v}(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 Q_{v}(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 language | English |
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Title of host publication | SACI 2015 - 10th Jubilee IEEE International Symposium on Applied Computational Intelligence and Informatics, Proceedings |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

Pages | 63-67 |

Number of pages | 5 |

ISBN (Print) | 9781479999118 |

DOIs | |

Publication status | Published - Aug 17 2015 |

Event | 10th Jubilee IEEE International Symposium on Applied Computational Intelligence and Informatics, SACI 2015 - Timisoara Duration: May 21 2015 → May 23 2015 |

### Other

Other | 10th Jubilee IEEE International Symposium on Applied Computational Intelligence and Informatics, SACI 2015 |
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City | Timisoara |

Period | 5/21/15 → 5/23/15 |

### Keywords

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

### ASJC Scopus subject areas

- Artificial Intelligence
- Computer Science Applications

### Cite this

*SACI 2015 - 10th Jubilee IEEE International Symposium on Applied Computational Intelligence and Informatics, Proceedings*(pp. 63-67). [7208171] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SACI.2015.7208171

**Bounds for the symmetric difference of generalized Marcum Q-functions.** / Baricz, A.; Meszaros, Timea.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*SACI 2015 - 10th Jubilee IEEE International Symposium on Applied Computational Intelligence and Informatics, Proceedings.*, 7208171, Institute of Electrical and Electronics Engineers Inc., pp. 63-67, 10th Jubilee IEEE International Symposium on Applied Computational Intelligence and Informatics, SACI 2015, Timisoara, 5/21/15. https://doi.org/10.1109/SACI.2015.7208171

}

TY - GEN

T1 - Bounds for the symmetric difference of generalized Marcum Q-functions

AU - Baricz, A.

AU - Meszaros, Timea

PY - 2015/8/17

Y1 - 2015/8/17

N2 - 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.

AB - 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.

KW - approximations

KW - lower and upper bounds

KW - Symmetric difference of Marcum Q-functions

UR - http://www.scopus.com/inward/record.url?scp=84959302976&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84959302976&partnerID=8YFLogxK

U2 - 10.1109/SACI.2015.7208171

DO - 10.1109/SACI.2015.7208171

M3 - Conference contribution

SN - 9781479999118

SP - 63

EP - 67

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

PB - Institute of Electrical and Electronics Engineers Inc.

ER -