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Type Ia Supernovae (SNe Ia) are considered the most reliable \textit{standard candles} and they have played an invaluable role in cosmology since the discovery of the Universe's accelerated expansion. During the last decades, the SNe Ia…

宇宙学与河外天体物理 · 物理学 2024-01-12 Maria Giovanna Dainotti , Giada Bargiacchi , Malgorzata Bogdan , Salvatore Capozziello , Shigehiro Nagataki

Approximate Bayesian Computation (ABC) methods are applicable to statistical models specified by generative processes with analytically intractable likelihoods. These methods try to approximate the posterior density of a model parameter by…

统计方法学 · 统计学 2024-03-11 Sanjay Chaudhuri , Subhroshekhar Ghosh , Kim Cuc Pham

The weak lensing magnification of Type Ia Supernovae (SNe Ia) is sensitive to the clustering of matter, and provides an independent cosmological probe complementary to SN Ia distance measurements. The Nancy Grace Roman Space Telescope is…

宇宙学与河外天体物理 · 物理学 2020-12-16 Zhongxu Zhai , Yun Wang , Dan Scolnic

Type Ia Supernovae hold great promise to measure the cosmic deceleration. The diversity observed among these explosions, however, complicates their ability to measure cosmological parameters considerably. The comparison of near and distant…

天体物理学 · 物理学 2007-05-23 B. Leibundgut

We perform model-independent distance measurements on four Type Ia supernovae (SNe Ia) compilations (Pantheon, Pantheon+, DES-Dovekie, Union3) and compress each dataset into the values of $\log r_p(z)$ at eleven redshift knots, where…

宇宙学与河外天体物理 · 物理学 2026-05-20 Zhenyuan Wang , Yun Wang

A computationally simple approach to inference in state space models is proposed, using approximate Bayesian computation (ABC). ABC avoids evaluation of an intractable likelihood by matching summary statistics for the observed data with…

The use of Type Ia supernovae (SNe Ia) as cosmological standard candles is a key to solving the mystery of dark energy. Improving the calibration of SNe Ia increases their power as cosmological standard candles. We find tentative evidence…

天体物理学 · 物理学 2009-06-23 Yun Wang , Nicholas Hall

Approximate Bayesian Computation (ABC) methods rely on asymptotic arguments, implying that parameter inference can be systematically biased even when sufficient statistics are available. We propose to construct the ABC accept/reject step…

统计方法学 · 统计学 2014-01-24 Oliver Ratmann , Anton Camacho , Adam Meijer , Gé Donker

Cosmological models and their parameters are widely debated, especially about whether the current discrepancy between the values of the Hubble constant, $H_{0}$, obtained by type Ia supernovae (SNe Ia), and the Planck data from the Cosmic…

We analyze a set of 89 Type Ia supernovae (SN Ia) that have both optical and near-infrared (NIR) photometry to derive distances and construct low redshift ($z < 0.04$) Hubble diagrams. We construct mean light curve (LC) templates using a…

宇宙学与河外天体物理 · 物理学 2020-01-08 Arturo Avelino , Andrew S. Friedman , Kaisey S. Mandel , David O. Jones , Peter J. Challis , Robert P. Kirshner

The use of advanced statistical analysis tools is crucial in order to improve cosmological parameter estimates via removal of systematic errors and identification of previously unaccounted for cosmological signals. Here we demonstrate the…

宇宙学与河外天体物理 · 物理学 2014-04-29 Caroline Heneka , Valerio Marra , Luca Amendola

Type Ia supernova (SN Ia) cosmology relies on the estimation of lightcurve parameters to derive precision distances that leads to the estimation of cosmological parameters. The empirical SALT2 lightcurve modeling that relies on only two…

Approximate Bayesian computation (ABC) is a simulation-based likelihood-free method applicable to both model selection and parameter estimation. ABC parameter estimation requires the ability to forward simulate datasets from a candidate…

统计方法学 · 统计学 2020-11-10 Louis Raynal , Sixing Chen , Antonietta Mira , Jukka-Pekka Onnela

R-band intensity measurements along the light curve of Type Ia supernovae discovered by the Supernova Cosmology Project (SCP) are fitted in brightness to templates allowing a free parameter the time-axis width factor w = s(1+z). The data…

In this note, we consider the observational constraints on some cosmological models by using the 307 Union type Ia supernovae (SNIa), the 32 calibrated Gamma-Ray Bursts (GRBs) at $z>1.4$, the updated shift parameter $R$ from WMAP 5-year…

天体物理学 · 物理学 2009-03-23 Hao Wei

We re-examine the contentious question of constraints on anisotropic expansion from Type Ia supernovae (SNIa) in the light of a novel determination of peculiar velocities, which are crucial to test isotropy with supernovae out to distances…

宇宙学与河外天体物理 · 物理学 2022-06-08 W. Rahman , R. Trotta , S. S. Boruah , M. J. Hudson , D. A. van Dyk

We present multi-band photometry of 185 type-Ia supernovae (SN Ia), with over 11500 observations. These were acquired between 2001 and 2008 at the F. L. Whipple Observatory of the Harvard-Smithsonian Center for Astrophysics (CfA). This…

宇宙学与河外天体物理 · 物理学 2009-07-22 Malcolm Hicken , Peter Challis , Saurabh Jha , Robert P. Kirshner , Tom Matheson , Maryam Modjaz , Armin Rest , W. Michael Wood-Vasey

A maximum likelihood methodology for a general class of models is presented, using an approximate Bayesian computation (ABC) approach. The typical target of ABC methods are models with intractable likelihoods, and we combine an ABC-MCMC…

统计方法学 · 统计学 2016-08-16 Umberto Picchini , Rachele Anderson

As an increasing number of well measured type Ia supernovae (SNe Ia) become available, the statistical uncertainty on w has been reduced to the same size as the systematic uncertainty. The statistical error will decrease further in the near…

宇宙学与河外天体物理 · 物理学 2015-06-03 Ulrich Feindt , Marek Kowalski , Kerstin Paech