  The linearity of the Hubble relationship (i.e. between m and z) has been
tested for galaxies and supernovea for low redshifts. We have studied this
relationship for quasars for data taken from Veron Cetti Catalogue(2003).The
data from Veron Cetti Catalogue for quasars appear to be truncated. The data
have been analyzed using various statistical methods which are suitable for
analysing the truncated data. This analysis shows lineraity (in log z) of
Hubble law for very small z but non-linearity for high redshift.This will shed
new light not only on the quasar astronomy but also in the cosmological debate.
