  The invariant Buda-Lund parameterization of the two-particle Bose-Einstein
correlation functions is presented, its derivation is summarized. In its
particular multi-variate Gaussian limiting case, the invariant Buda - Lund
parameterization is compared to the Bertsch-Pratt and Yano-Koonin-Podgoretskii
parameterizations, advantages and shortcomings are discussed. The invariant
Buda-Lund parameterizations are given also for non-Gaussian multi-variate
distributions, including damped oscillations in the like-particle correlation
function, that are similar to the oscillating intensity correlations of binary
stars in stellar interferometry. A separation between the pion and the proton
source is also estimated in the Buda - Lund hydro framework, the result is
utilized to extract the mean proper time of particle emission with the help of
fits to E877 data on non-identical particle correlations by Miskowiec.
