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We systematically investigate how the choice between Gaussian and uniform likelihood functions in Bayesian inference affects the inferred bulk properties of compact stars and nuclear matter within covariant density functional-based…

核理论 · 物理学 2025-07-04 Jia-Jie Li , Armen Sedrakian

Constraining the Dark Energy (DE) equation of state, w, is one of the primary science goals of ongoing and future cosmological surveys. In practice, with imperfect data and incomplete redshift coverage, this requires making assumptions…

宇宙学与河外天体物理 · 物理学 2017-10-18 Marco Raveri , Philip Bull , Alessandra Silvestri , Levon Pogosian

So far, various techniques have been implemented for generating discrete distributions based on continuous distributions. The characteristics and properties of this kind of probability distributions have been studied. Furthermore, the…

统计计算 · 统计学 2016-02-05 Halaleh Kamari , Hossein Bevrani , Kaniav Kamary

Bayesian inference paradigms are regarded as powerful tools for solution of inverse problems. However, when applied to inverse problems in physical sciences, Bayesian formulations suffer from a number of inconsistencies that are often…

统计方法学 · 统计学 2024-11-21 Klaus Mosegaard

Radio pulsar timing, X-ray pulse profile modeling or gravitational-wave detections of binary mergers involving at least one neutron star offer the opportunity to elucidate the properties of dense and neutron rich matter in thermodynamic…

高能天体物理现象 · 物理学 2025-12-08 Lami Suleiman , Anthea F. Fantina , Francesca Gulminelli , Jocelyn Read

We discuss how continuous probing of a quantum system allows estimation of unknown classical parameters embodied in the Hamiltonian of the system. We generalize the stochastic master equation associated with continuous observation processes…

量子物理 · 物理学 2013-12-09 Antonio Negretti , Klaus Mølmer

We formulate, and present a numerical method for solving, an inverse problem for inferring parameters of a deterministic model from stochastic observational data (quantities of interest). The solution, given as a probability measure, is…

数值分析 · 数学 2021-05-04 T. Butler , J. D. Jakeman , T. Wildey

The posterior probability distribution for a set of model parameters encodes all that the data have to tell us in the context of a given model; it is the fundamental quantity for Bayesian parameter estimation. In order to infer the…

天体物理仪器与方法 · 物理学 2015-06-16 Rupert Allison , Joanna Dunkley

A direct method is developed to reconstruct the equation of state for high-density nuclear matter from the relationship between any two properties of neutron stars, such as masses, radii, moments of inertia, baryonic masses, binding…

天体物理学 · 物理学 2009-11-07 Tomohiro Harada

We develop Bayesian predictive stacking for geostatistical models, where the primary inferential objective is to provide inference on the latent spatial random field and conduct spatial predictions at arbitrary locations. We exploit…

统计方法学 · 统计学 2025-09-25 Lu Zhang , Wenpin Tang , Sudipto Banerjee

We develop a Bayesian approach called Bayesian projected calibration to address the problem of calibrating an imperfect computer model using observational data from a complex physical system. The calibration parameter and the physical…

统计方法学 · 统计学 2019-02-08 Fangzheng Xie , Yanxun Xu

An analytical solution for the posterior estimate in Bayesian tomography of the unknown quantum state of an arbitrary quantum system (with a finite-dimensional Hilbert space) is found. First, we derive the Bayesian estimate for a pure…

量子物理 · 物理学 2014-03-21 V. S. Shchesnovich

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…

宇宙学与河外天体物理 · 物理学 2015-06-04 Antonio De Felice , Savvas Nesseris , Shinji Tsujikawa

Current analysis of astronomical data are confronted with the daunting task of modeling the awkward features of astronomical data, among which heteroscedastic (point-dependent) errors, intrinsic scatter, non-ignorable data collection…

天体物理仪器与方法 · 物理学 2011-12-19 S. Andreon

The unknown state of matter at ultra-high density, large proton/neutron number asymmetry, and low temperature is a major long-standing problem in modern physics. Neutron stars provide the only known setting in the Universe where matter in…

Joint modeling of spatially-oriented dependent variables is commonplace in the environmental sciences, where scientists seek to estimate the relationships among a set of environmental outcomes accounting for dependence among these outcomes…

统计方法学 · 统计学 2021-03-22 Lu Zhang , Sudipto Banerjee , Andrew O. Finley

This paper presents a study of the large-sample behavior of the posterior distribution of a structural parameter which is partially identified by moment inequalities. The posterior density is derived based on the limited information…

统计理论 · 数学 2010-01-13 Yuan Liao , Wenxin Jiang

The interiors of neutron stars reach densities and temperatures beyond the limits of terrestrial experiments, providing vital laboratories for probing nuclear physics. While the star's interior is not directly observable, its pressure and…

We develop a novel data-driven approach to the inverse problem of classical statistical mechanics: given experimental data on the collective motion of a classical many-body system, how does one characterise the free energy landscape of that…

统计力学 · 物理学 2022-03-01 Peter Yatsyshin , Serafim Kalliadasis , Andrew B. Duncan

This paper presents a new analysis of the thermal emission from the neutron star surface to constrain the dense matter equation of state. It is based on the use of a Markov-Chain Monte Carlo algorithm combined with an empirical…

高能天体物理现象 · 物理学 2020-01-08 N. Baillot d'Etivaux , S. Guillot , J. Margueron , N. A. Webb , M. Catelan , A. Reisenegger