Sm. Harun-or-rashid et M. Roos, Statistical evaluation of the observational information on Omega(m) and Omega(Lambda), ASTRON ASTR, 373(2), 2001, pp. 369-376
We undertake a critical evaluation of recent observational information on O
mega (m) and Omega (Lambda) in order to identify possible sources of system
atic errors and effects of simplified statistical analyses. We combine obse
rvations for which the results have been published in the form of likelihoo
d contours in the Omega (m), Omega (Lambda) plane. We approximate the conto
urs by fifth order polynomials, and we then use the maximum likelihood meth
od to obtain joint likelihood contours for the combined data. In the choice
of statistical merits we aim at minimum loss of information rather than at
minimum variance. We find that Omega (0) = Omega (m) + Omega (Lambda) = 0.
99 +/- 0.04 +/- 0.03, where the first error is mainly statistical and the s
econd error is systematical. In a at Universe we find Omega (flat)(m) = 0.3
1 +/- 0.04 +/- 0.04.