Testing the efficiency of estimators of the two-point correlation function

Resumo

Since the discovery of the Universe’s expansion in 1998, studying its cause has been one of the main interests in cosmology. Today the simplest model that describes our Universe is known as LCDM where dark energy dominates 70% of the Universe’s total energy density. The discovery of 1998 motivated great advances in technology and the construction of telescopes, enabling modern cosmology to reach a “era of precision measurements”. Studying the distribution of galaxies in the observed Universe is a powerful tool to understanding our Universe’s dynamics and correlation functions have long since been used to study these distributions. In this project I study concepts of modern cosmology and statistics in order to be introduced to the two-point correlation function estimated from a catalog of galaxies to test cosmological models, such as the LCDM. The first part of this study was to compare different estimators of the two-point correlation function. In the second part, using the measurements of the first part, I will constrain cosmological parameters that dictate the dynamics of our Universe.