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We apply Bayesian approach to construct a large number of minimallyconstrained equations of state (EOSs) and study their correlations with a fewselected properties of a neutron star (NS). Our set of minimal constraintsincludes a few basic properties of saturated nuclear matter and low-densitypure neutron matter EOS which is obtained from a precisenext-to-next-to-next-to-leading-order (N$^{3}$LO) calculation in chiraleffective field theory. The tidal deformability and radius of NS with mass $1-2M_\odot$ are found to be strongly correlated with the pressure of$\beta$-equilibrated matter at densities higher than the saturation density($\rho_0 = 0.16$ fm$^{-3}$) in a nearly model-independent manner. Thesecorrelations are employed to parametrize the pressure for $\beta$-equilibratedmatter, around 2$\rho_0$, as a function of neutron star mass and thecorresponding tidal deformability. The maximum mass of neutron star is alsofound to be strongly correlated with the pressure of $\beta$-equilibratedmatter at densities $\sim 4.5\rho_0$.

Nearly model-independent constraints on dense matter equation of state in a Bayesian approach