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Markov Chain Monte Carlo (MCMC) methods for sampling probability density functions (combined with abundant computational resources) have transformed the sciences, especially in performing probabilistic inferences, or fitting models to data.…

Instrumentation and Methods for Astrophysics · Physics 2018-05-23 David W. Hogg , Daniel Foreman-Mackey

The ability to map the cosmological expansion has developed enormously, spurred by the turning point one decade ago of the discovery of cosmic acceleration. The standard model of cosmology has shifted from a matter dominated, standard…

Astrophysics · Physics 2009-06-23 Eric V. Linder

In order to obtain robust cosmological constraints from Type Ia supernova (SN Ia) data, we have applied Markov Chain Monte Carlo (MCMC) to SN Ia lightcurve fitting. We develop a method for sampling the resultant probability density…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-19 Mi Dai , Yun Wang

Simulating the evolution of the local universe is important for studying galaxies and the intergalactic medium in a way free of cosmic variance. Here we present a method to reconstruct the initial linear density field from an input…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Huiyuan Wang , H. J. Mo , Xiaohu Yang , Y. P. Jing , W. P. Lin

Strong gravitational lensing time-delay measurements, together with the distance sum rule (DSR), offer a model-independent approach to probe the geometry and expansion of the universe without relying on a fiducial cosmological model. In…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-04 Darshan Kumar , Deepak Jain , Shobhit Mahajan

In this manuscript, we investigate the constraints on dynamical vacuum models within the framework of $\Lambda(t)$CDM cosmology by assuming a parameterization of the vacuum energy density as $\rho_{\Lambda}(t)=\rho_{\Lambda 0} \left[1 +…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-14 Yerlan Myrzakulov , M. Koussour , M. Bulanbay , S. Muminov , J. Rayimbaev

The detection of the accelerated expansion of the Universe has been one of the major breakthroughs in modern cosmology. Several cosmological probes (CMB, SNe Ia, BAO) have been studied in depth to better understand the nature of the…

In this paper, we propose a modified scale factor (MSF) that allows us to explore the accelerating expansion of the universe without invoking the traditional dark-energy model, as described in the Lambda cold dark matter ($\Lambda$CDM)…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-10 Goratamang Gaedie , Shambel Sahlu , Amare Abebe

We use the Markov Chain Monte Carlo method to investigate a global constraints on the generalized Chaplygin gas (GCG) model as the unification of dark matter and dark energy from the latest observational data: the Constitution dataset of…

Cosmology and Nongalactic Astrophysics · Physics 2010-05-07 Lixin Xu , Jianbo Lu

Recently, the vacuum energy of the QCD ghost in a time-dependent background is proposed as a kind of dark energy candidate to explain the acceleration of the universe. In this model, the energy density of the dark energy is proportional to…

Cosmology and Nongalactic Astrophysics · Physics 2013-02-22 Chao-Jun Feng , Xin-Zhou Li , Xian-Yong Shen

We use the Monte-Carlo Markov Chain method to explore the dark energy property and the cosmic curvature by fitting two popular dark energy parameterizations to the observational data. The new 182 gold supernova Ia data and the ESSENCE data…

Astrophysics · Physics 2009-06-23 Yungui Gong , Qiang Wu , Anzhong Wang

We introduce a Markov Chain Monte Carlo simulation and data analysis package for the cosmological computation package Cmbeasy. We have taken special care in implementing an adaptive step algorithm for the Markov Chain Monte Carlo in order…

Astrophysics · Physics 2007-05-23 Christian M. Mueller

In this work we study different types of dark energy (DE) models in the framework of the cosmographic approach, with emphasis on the Running Vacuum models (RVMs). We assess their viability using different information criteria and compare…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-25 Mehdi Rezaei , Joan Sola , Mohammad Malekjani

Monte Carlo (MC) algorithms are commonly employed to explore high-dimensional parameter spaces constrained by data. All the statistical information obtained in the output of these analyses is contained in the Markov chains, which one needs…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-21 Adrià Gómez-Valent

We use the Markov Chain Monte Carlo method to investigate a global constraints on the modified Chaplygin gas (MCG) model as the unification of dark matter and dark energy from the latest observational data: the Union2 dataset of type…

Cosmology and Nongalactic Astrophysics · Physics 2011-05-12 Jianbo Lu , Lixin Xu , Yabo Wu , Molin Liu

We present a Bayesian sampling algorithm called adaptive importance sampling or Population Monte Carlo (PMC), whose computational workload is easily parallelizable and thus has the potential to considerably reduce the wall-clock time…

Cosmology and Nongalactic Astrophysics · Physics 2009-09-02 Darren Wraith , Martin Kilbinger , Karim Benabed , Olivier Cappé , Jean-François Cardoso , Gersende Fort , Simon Prunet , Christian P. Robert

Upcoming cosmological surveys will provide unprecedented amount of data, which will require innovative statistical methods to maximize the scientific exploitation. Standard cosmological analyses based on abundances, two-point and…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-20 Farida Farsian , Federico Marulli , Lauro Moscardini , Carlo Giocoli

We introduce a novel cosmographic framework to trace the late-time kinematics of the Universe without assuming any underlying dynamics. The method relies on generalized Pad\'e-$(2,1)$ expansions around arbitrary pivot redshifts, which,…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-24 Elisa Fazzari , William Giarè , Eleonora Di Valentino

In this paper we study the sensitivity of the Large Sky Area Multi-Object Fiber Spectroscopic Telescope (LAMOST) project to the determination of cosmological parameters, employing the Monte Carlo Markov Chains (MCMC) method. For comparison,…

Astrophysics · Physics 2010-05-12 Hong Li , Jun-Qing Xia , Zuhui Fan , Xinmin Zhang

We devise an optimal method to measure the temporal power spectrum of the lensing and intrinsic fluctuations of multiply-imaged strongly lensed quasar light curves, along with the associated time delays. The method is based on a Monte-Carlo…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-18 Mansour Karami , Niayesh Afshordi , Jesús Zavala
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