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Coherent Bayesian inference on compact binary inspirals using a network of interferometric gravitational wave detectors

机译:使用干涉引力波探测器网络的紧致二元刺激的相干贝叶斯推断

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摘要

Presented in this paper is the description of a Markov chain Monte Carlo (MCMC) routine for conducting coherent parameter estimation for interferometric gravitational wave observations of an inspiral of binary compact objects using multiple detectors. Data from several interferometers are processed, and all nine parameters (ignoring spin) associated with the binary system are inferred, including the distance to the source, the masses, and the location on the sky. The data is matched with time-domain inspiral templates that are 2.5 post-Newtonian (PN) in phase and 2.0 PN in amplitude. We designed and tuned an MCMC sampler so that it is able to efficiently find the posterior mode(s) in the parameter space and perform the stochastic integration necessary for inference within a Bayesian framework. Our routine could be implemented as part of an inspiral detection pipeline for a world-wide network of detectors. Examples are given for simulated signals and data as seen by the LIGO and Virgo detectors operating at their design sensitivity.
机译:本文介绍的是马尔可夫链蒙特卡洛(MCMC)例程的描述,该例程用于使用多个检测器对二元紧凑物体的吸气形干涉重力波观测进行相干参数估计。处理来自多个干涉仪的数据,并推断与二进制系统相关的所有九个参数(忽略自旋),包括到源的距离,质量和天空位置。数据与时域吸气模板匹配,该模板的相位为牛顿后(PN)为2.5,幅度为2.0 PN。我们设计并调整了MCMC采样器,使其能够有效地找到参数空间中的后验模式,并在贝叶斯框架内执行推理所需的随机积分。我们的例程可以作为全球检测器网络的吸气检测管道的一部分来实施。给出了以LIGO和处女座探测器在其设计灵敏度下工作的模拟信号和数据的示例。

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