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Nonparametric modeling of cosmological database on the χ2 distribution

Maryam Vazirnia and Ahmad Mehrabi

  • Department of Physics, Bu-Ali Sina University, Hamedan 65178, 016016, Iran

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Phys. Rev. D 104, 123530 – Published 14 December, 2021

DOI: https://doi.org/10.1103/PhysRevD.104.123530

Abstract

In the ΛCDM model, cosmological observations from the late and recent Universe reveal a puzzling ∼4.5σ tension in the current rate of Universe expansion. In addition to the various scenarios suggested to resolve the tension, a nonparametric modeling may provide useful insights. In this paper, we look at three well-known nonparametric methods: the smoothing method, the genetic algorithm, and the Gaussian process. Considering these three methods, we employ the recent Hubble parameter data to reconstruct the rate of Universe expansion and supernovae Pantheon sample to reconstruct the luminosity distance. In contrast to similar studies in the literature, the chi-squared distribution has been used to construct a reliable criterion to select a reconstruction. Finally, we compute the current rate of Universe expansion (H0) for each method, provide some discussions regarding the performance of each approach, and compare the results.

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Information

Phys. Rev. D 104, 123530– Published 14 December, 2021
  • Received 16 May 2021
  • Revised 27 September 2021
  • Accepted 23 November 2021
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