  Using a statistical model of multiparticle production by Chou, Yang and Yen,
which looks similar to the thermal model and is known to account for the single
particle distributions in e$^+$ e$^-$ collisions, we fit the rapidity and
transverse mass spectra of pions and kaons measured in Pb+Pb collisions by NA49
collaboration. This model nicely fits both the rapidity and the transverse mass
spectra of each particle species with a few parameters. However, fitting all
the particles with a single value of $T_p$ is not possible. This analysis shows
that the success of the thermal models does not necessarily mean the
thermalization of the system in collision.
