Spatial clustering nature of galaxies have been studied previously through auto correlation function .
The same type of cross correlation function has been used to investigate parametric clustering nature of galaxies e.g .
with respect to masses and sizes of galaxies . Here formation and evolution of several components of nearby massive early type galaxies ( M _ { * } \geq 1.3 \times 10 ^ { 11 } M _ { \bigodot } ) have been envisaged through cross correlations , in the mass-size parametric plane , with high redshift ( 0.2 \leq z \leq 7 ) early type galaxies ( hereafter ETG ) .It is found that the inner most components of nearby ETGs have significant correlation ( \sim 0.5 \pm ( 0.02 - 0.07 ) ) with ETGs in the highest redshift range ( 2 \leq z \leq 7 ) called ` red nuggets ’ whereas intermediate components are highly correlated ( \sim 0.65 \pm ( 0.03 - 0.07 ) ) with ETGs in the redshift range 0.5 \leq z \leq 0.75 .
The outer most part has no correlation in any range , suggesting a scenario through in situ accretion . The above formation scenario is consistent with the previous results obtained for NGC5128 ( Chattopadhyay et al .
( 2009 ) ; Chattopadhyay et al .
( 2013 ) ) and to some extent for nearby elliptical galaxies ( Huang et al .
( 2013 ) ) after considering a sample of ETGs at high redshift with stellar masses greater than or equal to 10 ^ { 8.73 } M _ { \bigodot } .
So the present work indicates a three phase formation of massive nearby elliptical galaxies instead of two as discussed in previous works .