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We compile a complete collection of reliable Hubble parameter $H(z)$ data toredshift $z \leq 2.36$ and use them with the Gaussian Process method todetermine continuous $H(z)$ functions for various data subsets. From thesecontinuous $H(z)$'s, summarizing across the data subsets considered, we find$H_0\sim 67 \pm 4\,\rm km/s/Mpc$, more consistent with the recent lower valuesdetermined using a variety of techniques. In most data subsets, we see acosmological deceleration-acceleration transition at 2$\sigma$ significance,with the data subsets transition redshifts varying over $0.33<z_{\rm da}<1.0$at 1$\sigma$ significance. We find that the flat-$\Lambda$CDM model isconsistent with the $H(z)$ data to a $z$ of 1.5 to 2.0, depending on datasubset considered, with 2$\sigma$ deviations from flat-$\Lambda$CDM above thisredshift range. Using the continuous $H(z)$ with baryon acoustic oscillationdistance-redshift observations, we constrain the current spatial curvaturedensity parameter to be $\Omega_{K0}=-0.03\pm0.21$, consistent with a flatuniverse, but the large error bar does not rule out small values of spatialcurvature that are now under debate.

astrophysical journal/the astrophysical journal

Hubble Parameter and Baryon Acoustic Oscillation Measurement Constraints  on the Hubble Constant, the Deviation from the Spatially-Flat $\Lambda$cdm  Model, The Deceleration-Acceleration Transition Redshift, and Spatial  Curvature