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Given observations of the standard candles and the cosmic chronometers, we apply Pad{e} parameterization to the comoving distance and the Hubble paramter to find how stringent the constraint is set to the curvature parameter by the data. A weak informative prior is introduced in the modeling process to keep the inference away from the singularities. Bayesian evidence for different order of Pad{e} parameterizations is evaluated during the inference to select the most suitable parameterization in light of the data. The data we used prefer a parameterization form of comoving distance as $D_{01}(z)=frac{a_0 z}{1+b_1 z}$ as well as a competitive form $D_{02}(z)=frac{a_0 z}{1+b_1 z + b_2 z^2}$. Similar constraints on the spatial curvature parameter are established by those models and given the Hubble constant as a byproduct: $Omega_k = 0.25^{+0.14}_{-0.13}$ (68% confidence level [C.L.]), $H_0 = 67.7 pm 2.0$ km/s/Mpc (68% C.L.) for $D_{01}$, and $Omega_k = -0.01 pm 0.13$ (68% C.L.), $H_0 = 68.8 pm 2.0$ km/s/Mpc (68% C.L.) for $D_{02}$. The evidence of different models demonstrates the qualitative analysis of the Pad{e} parameterizations for the comoving distance.
In this work, we achieve the determination of the cosmic curvature $Omega_K$ in a cosmological model-independent way, by using the Hubble parameter measurements $H(z)$ and type Ia supernovae (SNe Ia). In our analysis, two nonlinear interpolating tool
A model-independent test of the cosmic curvature parameter $Omega_k$ is very important in cosmology. In order to estimate cosmic curvature from cosmological probes like standard candles, one has to be able to measure the luminosity distance $D_L(z)$,
The cosmic curvature ($Omega_k$) is a fundamental parameter for cosmology. In this paper, we propose an improved model-independent method to constrain the cosmic curvature, which is geometrically related to the Hubble parameter $H(z)$ and luminosity
We use current measurements of the expansion rate $H(z)$ and cosmic background radiation bounds on the spatial curvature of the Universe to impose cosmological model-independent constraints on cosmic opacity. To perform our analyses, we compare opaci
The question of whether Cosmic Microwave Background (CMB) temperature and polarization data from Planck favor a spatially closed Universe with curvature parameter $Omega_K<0$ has been the subject of recent intense discussions. Attempts to break the g