10th International Conference on Gravitation and Cosmology: New Horizons and Singularities in Gravity (ICGC 2023)

Non-linear regression with errors on both axes and its implications on Hubble tension.

Not scheduled

15m

IIT Guwahati

Oral Cosmology Cosmology

Speaker

Mr Ujjwal Kumar Upadhyay (Indian Institute of Science, Raman Research Institute)

Description

While fitting a non-linear model to data, it is common to consider errors only in the dependent variable and treat other variables as perfectly measured. A more flexible model fitting considering errors in independent variables is expected to better estimate the parameters of the model from the same data. We employ a Bayesian method to consider redshift errors in the Pantheon sample of Type-Ia supernovae, and find that it improves the $\Lambda$CDM fit to the data. We are investigating the implications of this method on cosmological tension in the value of Hubble constant $H_0$ with presently available data and with simulated data of larger volume and better quality expected to be available in the future.