Authors: Salvatore Vitale, Michele Zanolin
Date: 26 Apr 2010
Abstract: In this paper we use a new methodology to calculate analytically the error for a maximum likelihood estimate (MLE) of physical parameters from Gravitational Wave (GW) signals, by applying it to IMR waves from non-spinning binary system. While the existing literature focuses on using the Cramer Rao Lower bound. (CRLB) as a mean to approximate the errors for large signal to noise ratios, taking into account only the fist derivative of the signal, we consider also the higher order derivatives, obtaining an improved estimation of parameters' errors. We see how the bias is in general non negligible for high mass systems (200 solar masses and above), due to the nonlinear dipendence of the signal on the parameters, where it can become the most important contributor to the parameters' errors. This new feature will require numerical injections to be proved true.
© M. Vallisneri 2012 — last modified on 2010/01/29
Tantum in modicis, quantum in maximis