论文标题

X射线和伽马射线天文学的时域方法

Time domain methods for X-ray and gamma-ray astronomy

论文作者

Feigelson, Eric D., Kashyap, Vinay L., Siemiginowska, Aneta

论文摘要

探索了低计数X射线和伽马射线源的各种统计方法,以了解时间域的变异性。可以使用非参数(Anderson-Darling和过度分散测试)和参数(基于顺序的可能性测试)工具来检测可变性。一旦检测到,可变性可以通过非参数(自相关功能,结构函数,小波分析)和参数(多个变化点模型,例如贝叶斯块,整数自动回归模型,C statistic和Poisson回归)方法来表征。概述了新的多维可变性检测方法。设计用于高能数据分析的软件包是不足的,但是在R统计软件环境中可以使用工具。此处介绍的大多数方法不常见于高能天文学中。

A variety of statistical methods for understanding variability in the time domain for low count rate X-ray and gamma-ray sources are explored. Variability can be detected using nonparametric (Anderson-Darling and overdispersion tests) and parametric (sequential likelihood-based tests) tools. Once detected, variability can be characterized by nonparametric (autocorrelation function, structure function,wavelet analysis) and parametric (multiple change point model such as Bayesian Blocks, integer autoregressive models, C-statistic and Poisson regression) methods. New multidimensional variability detection approaches are outlined. Software packages designed for high energy data analysis are deficient but tools are available in the R statistical software environment. Most of the methods presented here are not commonly used in high energy astronomy.

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