Abstract
Hubble tension is among the most crucial unresolved issues in modern cosmology. In addition, search for preferred direction has also been explored in the last two decades. Different measurements of the Hubble constant provide significantly different values, and this is known as the Hubble tension. The cosmological principle assumes that the universe is homogeneous and isotropic; however, deviations from the isotropy have often been claimed. We apply the Bayesian tools and the Extreme Value theory dependent statistic to address the above issues. These techniques have been applied to the Panstarrs1 type Ia supernovae data. Our analysis for Hubble constant does not reject the Hubble tension. However, our value is smaller than that of the SHoES program and agrees with the CCHP value. Extreme value theory-based analysis indicates that the data does not show directional dependence. As a byproduct of our technique, we show that the errors in the data are non-Gaussian in nature.
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