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In a statistical analysis in Particle Physics, nuisance parameters can be introduced to take into account various types of systematic uncertainties. The best estimate of such a parameter is often modeled as a Gaussian distributed variable…

数据分析、统计与概率 · 物理学 2019-02-25 Glen Cowan

We describe a method for fitting distributions to data which only requires knowledge of the parametric form of either the signal or the background but not both. The unknown distribution is fit using a non-parametric kernel density…

数据分析、统计与概率 · 物理学 2015-06-03 Wolfgang A. Rolke , Angel M. López

From the distributional characterizations that lie at the heart of Stein's method we derive explicit formulae for the mass functions of discrete probability laws that identify those distributions. These identities are applied to develop…

统计方法学 · 统计学 2022-02-16 Steffen Betsch , Bruno Ebner , Franz Nestmann

In this article we consider the estimation of static parameters for partially observed diffusion process with discrete-time observations over a fixed time interval. In particular, we assume that one must time-discretize the partially…

统计计算 · 统计学 2023-09-20 Elsiddig Awadelkarim , Ajay Jasra , Hamza Ruzayqat

Having a precise knowledge of the dispersal ability of a population in a heterogeneous environment is of critical importance in agroecology and conservation biology as it can provide management tools to limit the effects of pests or to…

种群与进化 · 定量生物学 2015-03-19 L. Roques , E. Walker , P. Franck , S. Soubeyrand , E. K. Klein

This article introduces a new instrumental variable approach for estimating unknown population parameters with data having nonrandom missing values. With coarse and discrete instruments, Shao and Wang (2016) proposed a semiparametric method…

统计方法学 · 统计学 2021-11-19 Arkaprabha Ganguli , David Todem

We provide a computational method for quickly determining the correct distribution of optically active nanoparticles for a desired response. This is achieved by simulating the optical response of single nanoparticles and performing a…

光学 · 物理学 2019-01-03 Phillip Manley , Min Song , Sven Burger , Martina Schmid

In this paper, we have developed a new class of sampling schemes for estimating parameters of binomial and Poisson distributions. Without any information of the unknown parameters, our sampling schemes rigorously guarantee prescribed levels…

统计理论 · 数学 2009-10-11 Xinjia Chen

This paper is concerned with making Bayesian inference from data that are assumed to be drawn from a Bingham distribution. A barrier to the Bayesian approach is the parameter-dependent normalising constant of the Bingham distribution,…

统计计算 · 统计学 2014-01-14 Christopher J. Fallaize , Theodore Kypraios

The radiological characterization of contaminated elements (walls, grounds, objects) from nuclear facilities often suffers from a too small number of measurements. In order to determine risk prediction bounds on the level of contamination,…

应用统计 · 统计学 2017-05-30 Géraud Blatman , Thibault Delage , Bertrand Iooss , Nadia Pérot

The statistical methods used in deriving physics results in the BaBar collaboration are reviewed, with especial emphasis on areas where practice is not uniform in particle physics.

数据分析、统计与概率 · 物理学 2019-08-14 Frank C. Porter

This paper proposes a Bayesian method for estimating the parameters of a normal distribution when only limited summary statistics (sample mean, minimum, maximum, and sample size) are available. To estimate the parameters of a normal…

统计方法学 · 统计学 2024-11-21 Tomoki Matsumoto

We propose a method that performs anomaly detection and localisation within heterogeneous data using a pairwise undirected mixed graphical model. The data are a mixture of categorical and quantitative variables, and the model is learned…

机器学习 · 统计学 2016-07-21 Romain Laby , François Roueff , Alexandre Gramfort

Stochastic kinetic models are often used to describe complex biological processes. Typically these models are analytically intractable and have unknown parameters which need to be estimated from observed data. Ideally we would have…

统计计算 · 统计学 2018-03-13 Richard J. Boys , Holly F. Ainsworth , Colin S. Gillespie

We present analytical results for the biased diffusion of particles moving under a constant force in a randomly layered medium. The influence of this medium on the particle dynamics is modeled by a piecewise constant random force. The…

统计力学 · 物理学 2010-02-10 S. I. Denisov , H. Kantz

In statistical inference, uncertainty is unknown and all models are wrong. That is to say, a person who makes a statistical model and a prior distribution is simultaneously aware that both are fictional candidates. To study such cases,…

机器学习 · 计算机科学 2023-02-13 Sumio Watanabe

In Bayesian inference, an unknown measurement uncertainty is often quantified in terms of a Gamma distributed precision parameter, which is impractical when prior information on the standard deviation of the measurement uncertainty shall be…

统计方法学 · 统计学 2021-01-19 Manuel M. Eichenlaub

The Bayesian approach to the prediction of particle type given measurements of particle location is explored, using a parametric model whose prior is based on the transformation group. Two types of particle are considered, and locations are…

数据分析、统计与概率 · 物理学 2013-06-17 Robert W. Johnson

This article introduces a method for adjusting macro-particle weights within a particle distribution while preserving statistical and physical properties. The method allows the weights of the new macro-particle distribution to be determined…

计算物理 · 物理学 2024-03-19 Nicolas Pichoff , Samuel Marini

Observations or measurements taken of a quantum system (a small number of fundamental particles) are inherently random. If the state of the system depends on unknown parameters, then the distribution of the outcome depends on these…

统计理论 · 数学 2007-06-13 Richard D. Gill
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