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Recent measurements of distant type Ia supernovae (SNIa) as well as other observations indicate that our universe is in accelerating phase of expansion. In principle there are two alternative explanation for such an acceleration. While in…

Astrophysics · Physics 2010-11-05 Marek Szydlowski , Wlodzimierz Godlowski

Interacting quintessence models have been proposed to explain or, at least, alleviate the coincidence problem of late cosmic acceleration. In this paper we are concerned with two aspects of these kind of models: (i) the dynamical evolution…

Astrophysics · Physics 2008-11-26 German Olivares , Fernando Atrio-Barandela , Diego Pavon

We perform a comprehensive observational test of a canonical quintessence model driven by an exponential potential, motivated by its emergence in higher-dimensional theories, string-inspired scenarios, and modified gravity. Using a Markov…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-07 Sanjeeda Sultana , Surajit Chattopadhyay

Dynamical dark energy has gained renewed interest due to recent theoretical and observational developments. In the present paper, we focus on a string-motivated dark energy set-up, and perform a detailed cosmological analysis of exponential…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-04 Sukannya Bhattacharya , Giulia Borghetto , Ameek Malhotra , Susha Parameswaran , Gianmassimo Tasinato , Ivonne Zavala

The type Ia supernovae observational data are used to estimate the parameters of a cosmological model with cold dark matter and the Chaplygin gas. The Chaplygin gas model depends essentially on four parameters: the Hubble constant, the…

Astrophysics · Physics 2009-12-30 R. Colistete , J. C. Fabris , S. V. B. Gonçalves , P. E. de Souza

The maximum likelihood estimator is used to determine fit parameters for various parametric models of the Fourier periodogram followed by the selection of the best fit model amongst competing models using the Akaike information criteria.…

Astrophysics of Galaxies · Physics 2015-06-19 P. Mohan , A. Mangalam , S. Chattopadhyay

We place observational constraints on models with the late-time cosmic acceleration based on a number of parametrizations allowing fast transitions for the equation of state of dark energy. In addition to the model of Linder and Huterer…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Antonio De Felice , Savvas Nesseris , Shinji Tsujikawa

We test three common information criteria (IC) for selecting the order of a Hawkes process with an intensity kernel that can be expressed as a mixture of exponential terms. These processes find application in high-frequency financial data…

Statistical Finance · Quantitative Finance 2017-04-05 J. M. Chen , A. G. Hawkes , E. Scalas , M. Trinh

We compute the distribution of likelihoods from the non-parametric iterative smoothing method over a set of mock Pantheon-like type Ia supernova datasets. We use this likelihood distribution to test whether typical dark energy models are…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-17 Hanwool Koo , Arman Shafieloo , Ryan E. Keeley , Benjamin L'Huillier

Information criteria have had a profound impact on modern ecological science. They allow researchers to estimate which probabilistic approximating models are closest to the generating process. Unfortunately, information criterion comparison…

Methodology · Statistics 2018-05-23 Jose-Miguel Ponciano , Mark L Taper

Quintessence, a scalar field model, has been proposed to account for the acceleration of the Universe at present. We discuss how accurately quintessence models are discriminated by future cosmological surveys, which include experiments of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Yoshitaka Takeuchi , Kiyotomo Ichiki , Tomo Takahashi , Masahide Yamaguchi

We develop an algorithm for model selection which allows for the consideration of a combinatorially large number of candidate models governing a dynamical system. The innovation circumvents a disadvantage of standard model selection which…

Data Analysis, Statistics and Probability · Physics 2017-11-01 Niall M. Mangan , J. Nathan Kutz , Steven L. Brunton , Joshua L. Proctor

We determine the range of parameter space of an interacting quintessence (IQ) model that best fits the luminosity distance of type Ia supernovae data and the recent WMAP measurements of Cosmic Microwave Background temperature anisotropies.…

Astrophysics · Physics 2009-11-13 German Olivares , Fernando Atrio-Barandela , Diego Pavon

The new Dark Energy Spectroscopic Instrument (DESI) DR2 results have strengthened the possibility that dark energy is dynamical, i.e., it has evolved over the history of the Universe. One simple, but theoretically well motivated and widely…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-14 Yashar Akrami , George Alestas , Savvas Nesseris

While Bayesian model selection is a useful tool to discriminate between competing cosmological models, it only gives a relative rather than an absolute measure of how good a model is. Bayesian doubt introduces an unknown benchmark model…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-17 M. C. March , G. D. Starkman , R. Trotta , P. M. Vaudrevange

Recent analyses from the DESI collaboration suggest that the dark energy density of the Universe may be decreasing with time, slowing the acceleration of the scale factor $a$. Typically these studies are performed assuming an ansatz for the…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-17 James M. Cline , Varun Muralidharan

A large number of recent observational data strongly suggest that we live in a flat, accelerating Universe composed of $\sim$ 1/3 of matter (baryonic + dark) and $\sim$ 2/3 of an exotic component with large negative pressure, usually named…

Astrophysics · Physics 2015-06-24 J. A. S. Lima

In cosmology many dramatically different scenarios with the past (big bang versus bounce) and in the future (de Sitter versus big rip) singularities are compatible with the present day observations. This difficulty is called the degeneracy…

Astrophysics · Physics 2009-11-13 Wlodzimierz Godlowski Marek Szydlowski

We introduce a power-law parameterized quintessence model for the dark energy which accelerate universe at the low redshifts while behaves as an ordinary matter for the early universe. We construct a unique scalar potential for this…

Astrophysics · Physics 2008-11-26 Sohrab Rahvar , M. Sadegh Movahed

Different holographic dark-energy models are studied from a unifying point of view. We compare models for which the Hubble scale, the future event horizon or a quantity proportional to the Ricci scale are taken as the infrared cutoff…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-19 Sergio del Campo , Júlio. C. Fabris , Ramón Herrera , Winfried Zimdahl