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arXiv 1004.4537gr-qc
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用laser干涉仪估计非自旋双黑洞引力波的参数:Fisher信息之外

Parameter estimation from Gravitational waves generated by non-spinning binary black holes with laser interferometers: beyond the Fisher information

Salvatore Vitale, Michele Zanolin

摘要:

本文将新近引进的频率论方法应用于非自旋双星系统的引力波,解析地计算了物理参数的极大似然估计的误差。虽然现有的文献侧重于使用Cramer Rao下限(CRLB)和蒙特卡罗模拟,我们使用的权力扩展的偏差和协方差的信噪比的逆功率。在展开式中使用似然函数的高阶导数使得预测对MLE概率分布的次叶也敏感。我们讨论CRLB的有效性条件,并预测目前尚未探索的参数空间的区域中的新功能。例如,我们看到偏差如何成为大质量系统(200 M及以上)参数误差的最重要贡献者。

英文摘要:

In this paper we apply to gravitational waves from non-spinning binary systems a recently intro- duced frequentist methodology to calculate analytically the error for a maximum likelihood estimate (MLE) of physical parameters. While existing literature focuses on using the Cramer Rao Lower bound (CRLB) and Monte Carlo simulations, we use a power expansion of the bias and covariance in inverse powers of the signal to noise ratio. The use of higher order derivatives of the likelihood function in the expansions makes the prediction also sensitive to the secondary lobes of the MLE probability distribution. We discuss conditions for validity of the CRLB and predict new features in regions of the parameter space currently not explored. For example, we see how the bias can become the most important contributor to the parameters' errors for high mass systems (200M and above).

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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