The standard method for extracting cosmological parameters from the CMB is
through the use of Maximum Likelihood methods. In general the likelihood
function,
, for a set of parameters,
, is given by a
hypothesis,
, for the distribution function of the data set. In the case
of uniform prior, and assuming a multivariate Gaussian distributed data set
consistent with Inflationary models, the a posteriori probability
distribution for the parameters is

where
are the usual
cosmological parameters we would like to determine. Examples of data are
or
and the statistics of the
data are fully
parametrised by the data covariance matrix,
. For simplicity here we assume the data have zero means.