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Standard full-shape clustering analyses in Fourier space rely on a fixedpower spectrum template, defined at the fiducial cosmology used to convertredshifts into distances, and compress the cosmological information into theAlcock-Paczynski parameters and the linear growth rate of structure. In thispaper, we propose an analysis method that operates directly in the cosmologyparameter space and varies the power spectrum template accordingly at eachtested point. Predictions for the power spectrum multipoles from the TNS modelare computed at different cosmologies in the framework of $\Lambda \rm{CDM}$.Applied to the final eBOSS QSO and LRG samples together with the low-z DR12BOSS galaxy sample, our analysis results in a set of constraints on thecosmological parameters $\Omega_{\rm cdm}$, $H_0$, $\sigma_8$, $\Omega_{\rm b}$and $n_s$. To reduce the number of computed models, we construct an iterativeprocess to sample the likelihood surface, where each iteration consists of aGaussian process regression. This method is validated with mocks from N-bodysimulations. From the combined analysis of the (e)BOSS data, we obtain thefollowing constraints: $\sigma_8=0.877\pm 0.049$ and $\Omega_{\rmm}=0.304^{+0.016}_{-0.010}$ without any external prior. The eBOSS quasar samplealone shows a $3.1\sigma$ discrepancy compared to the Planck prediction.

Combined full shape analysis of BOSS galaxies and eBOSS quasars using an iterative emulator