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arXiv 1302.1903astro-ph.IMastro-ph.COgr-qc
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利用脉冲星定时数据检测引力波随机背景的似然估计

An Efficient Approximation to the Likelihood for Gravitational Wave Stochastic Background Detection Using Pulsar Timing Data

Justin Ellis, Xavier Siemens, Rutger van Haasteren

摘要:

用脉冲星计时阵列直接探测引力波将在未来几年内成为可能。在低频区($10^{-7}$ Hz -- $10^{-9}$ Hz),我们预期来自多个源的引力波的叠加将表现为各向同性的随机引力波背景。目前,存在许多技术来检测这样的信号;然而,许多检测方法在计算上具有挑战性。在这里,我们介绍了一个近似的脉冲星定时阵列的全似然函数,结果在计算节省成正比的阵列中的脉冲星的数量的平方。通过一系列的模拟,我们表明,近似似然函数再现从全似然函数获得的结果。我们进一步通过分析和模拟表明,平均而言,这个近似似然函数给出了天体物理现实随机背景振幅的无偏参数估计。

英文摘要:

Direct detection of gravitational waves by pulsar timing arrays will become feasible over the next few years. In the low frequency regime ($10^{-7}$ Hz -- $10^{-9}$ Hz), we expect that a superposition of gravitational waves from many sources will manifest itself as an isotropic stochastic gravitational wave background. Currently, a number of techniques exist to detect such a signal; however, many detection methods are computationally challenging. Here we introduce an approximation to the full likelihood function for a pulsar timing array that results in computational savings proportional to the square of the number of pulsars in the array. Through a series of simulations we show that the approximate likelihood function reproduces results obtained from the full likelihood function. We further show, both analytically and through simulations, that, on average, this approximate likelihood function gives unbiased parameter estimates for astrophysically realistic stochastic background amplitudes.

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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