2021/02/21 by Mehdi Rezaei, Mohammad Malekjani · 1 citation
Physics and Astronomy · #astro-ph.CO #gr-qc
paper · pdf · doi:10.1140/epjp/s13360-021-01200-w
published as Eur. Phys. J. p (2021) 136:219 · 12 pages, 3 figures, PUBLISHED IN EPJP. arXiv admin note: text overlap with arXiv:1510.00547 by other authors
arxiv created 2021/02/21 · arxiv updated 2021/02/23
There are several methods for model selection in cosmology which have at least two major goals, that of finding the correct model or predicting well. In this work we discuss through a study of well-known model selection methods like Akaike information criterion (AIC), Bayesian information criterion (BIC), deviance information criterion (DIC) and Bayesian evidence, how these different goals are pursued in each paradigm. We also apply another method for model selection which less seen in cosmological literature, the Cross-validation method. Using these methods we will compare two different scenarios in cosmology, ΛCDM model and dynamical dark energy. We show that each of the methods tends to different results in model selection. While BIC and Bayesian evidence overrule the dynamical dark energy scenarios with 2 or 3 extra degree of freedom, the DIC and cross-validation method prefer these dynamical models to ΛCDM model. Assuming the numerical results of different analysis and combining cosmological and statistical aspects of the subject, we propose cross-validation as an interesting method for model selection in cosmology that can lead to different results in comparison with usual methods of model selection.