Two sides of the same coin: the F-statistic and the 5-vector method

被引：1

作者：

D'Onofrio, L. ^{[1
]}

Astone, P. ^{[1
]}

Dal Pra, S. ^{[1
]}

D'Antonio, S. ^{[1
]}

Di Giovanni, M. ^{[1
,2
]}

De Rosa, R. ^{[3
,4
]}

Leaci, P. ^{[1
,2
]}

Mastrogiovanni, S. ^{[1
]}

Mirasola, L. ^{[5
,6
]}

Muciaccia, F. ^{[1
,2
]}

Palomba, C. ^{[1
]}

Pierini, L. ^{[1
]}

机构：

[1] Sez Roma, INFN, I-00185 Rome, Italy

[2] Univ Roma Sapienza, I-00185 Rome, Italy

[3] Univ Napoli Federico II, I-80126 Naples, Italy

[4] Sez Napoli, INFN, I-80126 Naples, Italy

[5] Univ Cagliari, I-09042 Cagliari, Italy

[6] Sez Cagliari, INFN, I-09042 Cagliari, Italy

来源：

CLASSICAL AND QUANTUM GRAVITY | 2025年 / 42卷 / 01期

关键词：

gravitational wave data analysis; continuous gravitational wave; maximum likelihood statistics; neutron stars;

D O I：

10.1088/1361-6382/ad94c5

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

This work explores the relation between two data-analysis methods used in the search for continuous gravitational waves in LIGO-Virgo-KAGRA data: the F-statistic and the 5-vector method. We show that the 5-vector method can be derived from a maximum likelihood framework similar to the F-statistic. Our analysis demonstrates that the two methods are statistically equivalent, providing the same detection probability for a given false alarm rate. We extend this comparison to multiple detectors, highlighting differences from the standard approach that simply combines 5-vectors from each detector. In our maximum likelihood approach, each 5-vector is weighted by the observation time and sensitivity of its respective detector, resulting in efficient estimators and analytical distributions for the detection statistic. Additionally, we present the analytical computation of sensitivity for different searches, expressed in terms of the minimum detectable amplitude.

引用

页数：16

共 32 条

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