  We discuss cosmological inference from galaxy surveys, the X-Ray Background
(XRB) and the Cosmic Microwave Background (CMB). We assume a family of Cold
Dark Matter (CDM) models in a spatially flat universe with an initially
scale-invariant spectrum and a cosmological constant. Joint analysis of the CMB
and IRAS resdhift surveys yields as optimal parameters (for fixed Omega_b h^2 =
0.024): Omega_m = 1- \omega_lambda = 0.4, h = 0.53, Q = 17muK, and b_iras= 1.2.
For the above parameters the normalisation and shape of the mass power-spectrum
are sigma_8=0.7 and Gamma=0.15, and the age of the Universe is 16.5 Gyr.
Assuming a standard CDM model, the joint IRAS and XRB analysis gives bias
parameters of b_iras = 1.1 and b_x(z=0) = 2.6. When combining CMB and IRAS with
XRB data we show that standard CDM cannot fit all three data sets. We also use
these data sets to verify the Cosmological Principle and to constrain the
fractal dimension of the universe on large scales.
