A Modified chi^2-Test for CMB Analyses

  title={A Modified chi^2-Test for CMB Analyses},
  author={J.A.Rubino-Martin and J.Betancort-Rijo},
We present a new general procedure for determining a given set of quantities. To this end, we define certain statistic, that we call 'modified $\chi^2$' ($\chi^2_M$), because of its similarity with the standard $\chi^2$. The terms of this $\chi^2_M$ are made up of the fluctuations of an unbiased estimator of some statistical quantities, and certain weights. Only the diagonal terms of the covariance matrix explicitly appear in our statistic, while the full covariance matrix (and not its inverse… Expand