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Recent works have shown that small shifts in redshift -- gravitationalredshift or systematic errors -- could potentially cause a significant bias inthe estimation of cosmological parameters. I aim to verify whether atheoretical correction on redshift is sufficient to ease the tension betweenthe estimates of cosmological parameters from SNe 1a dataset and Planck 2015results. A free parameter for redshift shift($\Delta z$) is implemented in theMaximum Likelihood Estimator. Redshift error was estimated from the JointLight-curve Analysis(JLA) dataset and results from the Planck 2015 survey. Theestimation from JLA dataset alone gives a best fit value of $\Omega_m = 0.272$,$\Omega_{\Lambda} = 0.390$, and $\Delta z = 3.77 \times 10^{-4}$. The best fitvalues of both $\Omega_m$ and $\Omega_{\Lambda}$ disagrees heavily with resultsfrom other observations. Information criteria and observed density contrastssuggest that the current data from SNe 1a is not accurate enough to give aproper estimate of $\Delta z$. A joint analysis with Planck results seems togive a more plausible value of the redshift error, and can potentially be usedas a probe to measure our local gravitational environment.

Estimating the redshift error in supernova data analysis