  We derive new constraints on the Hubble parameter $H_0$ using the available
data on $H(z)$ from cosmic chronometers (CCH), and the Hubble rate data points
from the supernovae of Type Ia (SnIa) of the Pantheon compilation and the
Hubble Space Telescope (HST) CANDELS and CLASH Multy-Cycle Treasury (MCT)
programs. We employ two alternative techniques, Gaussian Processes (GPs) and
the Weighted Polynomial Regression (WPR) method, to reconstruct the Hubble
function, determine the derived values of $H_0$, and compare them with the
local HST measurement provided by Riess {\it et al.} (2018), $H_0^{{\rm
HST}}=(73.48\pm1.66)$ km/s/Mpc, and with the Planck+$\Lambda$CDM value,
$H_0^{{\rm P18}}=(66.88\pm 0.92)$ km/s/Mpc. With GPs we obtain $H_0=(67.99\pm
1.94)$ km/s/Mpc, and with the WPR method $H_0=(68.90\pm 1.96)$ km/s/Mpc. Both
are fully compatible at $<1\sigma$ c.l., and also with $H_0^{{\rm P18}}$. In
contrast, they are in $\sim 2\sigma$ tension with $H_0^{{\rm HST}}$.
