## 6. ConclusionsUsing the Levenberg-Marquardt
minimization method we have determined the cosmological parameters of
spatially flat, tilted MDM models. We
searched for a maximum of 6 parameters: the spectral index We have considered one, two and three species of massive neutrinos. We have studied the influence of a reduction of the number of free parameters. In Table 4 we summarize the parameters which we have determined in 33 different cases. Based on the results presented in Table 4 we conclude: -
The tilted MDM model with one sort of massive neutrinos and the best-fit parameters , , , , and (standard errors) matches the observational data set best. The 1 (68.3%) confidence limits on each cosmological parameter, obtained by marginalizing over the other parameters, are , , , , and . -
The degeneracies in the and planes and are revealed. -
For fixed Hubble constant *h*raising from 0.5 to 0.72, the best-fit value for decreases from 0.63 to 0.39 for MDM models with . For models with and 3 the value of raises by and respectively. The is higher for more species of massive neutrinos, for one sort and for three, and decreases slowly for growing*h*. The inclination of initial power spectrum*n*correlates somewhat with and grows slightly with*h*. -
Fixing a low =0.3 a CDM model without HDM matches the observational data set best. In this case the parameters are , and . -
For all models the biasing parameter of rich clusters is in the range 2.2-3.3, for the best model it equals (standard error). The 1 (68.3%) confidence interval is . -
CDM models with , scale invariant primordial power spectrum and are ruled out at very high confidence level, . -
Also pure MDM models are ruled out at C.L.
Finally, we note that the accuracy of present observational data on the large scale structure of the Universe is still too low to constrain the set of cosmological parameters sufficiently, but we believe that our work shows the potential of such studies, which search for parameters including data from different, often complementary observations. It is clear that with sufficiently accurate data, such a study may also reveal an inconsistency of model assumptions. © European Southern Observatory (ESO) 2000 Online publication: April 10, 2000 |