Distribution of the Quasars in A Large Scale Space

The statistical analyses of the magnitudes and red shift distributions of the radio, X-ray, optical and ultraviolet-excess quasars have respectively been made on the basis of the Third General Catalogue of Quasars Published by A, Howitt and G.Burbidge in 1987. The results show that the form of the distribution functi on of the red shift of the radio and X-ray plus radio quasars between the eastern and western hemispheres of the Galaxy is uniform, but that between the southern and northern of the equaterial coordinate system is non-uniform. And between the southern and northern hemispheres of the Galaxy, only the form of the distribution function of the red shift of the radio quasars is uniform, while that of the X-ray plus radio quasars tends to uniformity. As for the optical and ultraviolet-excess plus optical quasars, the form of the distribution function of their red shift is uniform only when they are situated between the eastern and western hemispheres of the Milky Way galaxy. The results vary with the choice of the coordinate system and the division of the sky. The reason why it should be so possibly results from the unequal probability of the survey, carried out between two divided spaces of the sky. From this point of view, it can be inferred that a lot of quasars on the celestial sphere have not been disco-vered yet. The argument that the spatial distribution of the quasars is homogeneous is supported from the uniformity of the red-shift distribution functions of various quasars between the castern and western hemispheres of the Galaxy.