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The excessive dispersion measures (DMs) and high Galactic latitudes of fastradio bursts (FRBs) hint toward a cosmological origin of these mysterioustransients. Methods of using measured DM and redshift $z$ to study cosmologyhave been proposed, but one needs to assume a certain amount of DM contributionfrom the host galaxy (DM$_{\rm HG}$) in order to apply those methods. Weintroduce a slope parameter $\beta(z) \equiv d \ln \left< {\rm DM}_{\rm E}\right> / d \ln z$ (where DM$_{\rm E}$ is the observed DM subtracting theGalactic contribution), which can be directly measured when a sample of FRBshave $z$ measured. We show that $\left< {\rm DM_{HG}}\right>$ can be roughlyinferred from $\beta$ and the mean values, $\overline{\rm \left<DM_{\rmE}\right>}$ and $\bar z$, of the sample. Through Monte Carlo simulations, weshow that the mean value of local host galaxy DM,$\left<\rm{DM_{HG,loc}}\right>$, along with other cosmological parameters (massdensity $\Omega_m$ in the $\Lambda$CDM model, and the IGM portion of the baryonenergy density $\Omega_b f_{\rm IGM}$) can be independently measured throughMCMC fitting to the data.

Extracting host galaxy dispersion measure and constraining cosmological parameters using fast radio burst data