https://doi.org/10.1140/epjc/s10052-018-5759-3
Regular Article - Theoretical Physics
Statistical analysis with cosmic-expansion-rate measurements and two-point diagnostics
1
School of Physics and Technology, Wuhan University, Wuhan, 430072, China
2
Department of Astronomy, Beijing Normal University, Beijing, 100875, China
3
Department of Astrophysics and Cosmology, Institute of Physics, University of Silesia, Uniwersyecka 4, 40-007, Katowice, Poland
* e-mail: caoshuo@bnu.edu.cn
Received:
16
January
2018
Accepted:
22
March
2018
Published online:
29
March
2018
Direct measurements of Hubble parameters H(z) are very useful for cosmological model parameters inference. Based on them, Sahni, Shafieloo and Starobinski introduced a two-point diagnostic 
as an interesting tool for testing the validity of the 
model. Applying this test they found a tension between observations and predictions of the model. We use the most comprehensive compilation H(z) data from baryon acoustic oscillations (BAO) and differential ages (DA) of passively evolving galaxies to study cosmological models using the Hubble parameters itself and to distinguish whether model is consistent with the observational data with statistical analysis of the corresponding two-point diagnostics. Our results show that presently available H(z) data significantly improve the constraints on cosmological parameters. The corresponding statistical two-point diagnostics seems to prefer the quintessence with 
over the model. Better and more accurate prior knowledge of the Hubble constant, will considerably improve the performance of the statistical method.
© The Author(s), 2018
