CONFIDENCE-INTERVALS FROM THE RAYLEIGH TEST

被引：59

作者：

BRAZIER, KTS

机构：

[1] Max-Planck-Institut für Extraterrestrische Physik, Giessenbach Strasse, Garching

[2] Royal Observatory, Blackford Hill, Edinburgh

来源：

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY | 1994年 / 268卷 / 03期

关键词：

METHODS; STATISTICAL; PULSARS; GENERAL; GAMMA-RAYS; OBSERVATIONS; X-RAYS;

D O I：

10.1093/mnras/268.3.709

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The Rayleigh test is a simple statistical test used to look for periodicity in unbinned, irregularly sampled data. It is primarily a hypothesis test, but, when a signal is claimed, it may also be used to estimate that signal's strength. We present here an analytical method by which confidence intervals for the signal strength can be obtained from the Rayleigh test. The intervals are based on the observed test statistic and represent a fixed level of confidence that the true flux is within the stated boundaries. An extension of the new method is given to cover the related Z2(2) test. Both tests are widely used in X- and gamma-ray astronomy.

引用

页码：709 / 712

页数：4