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We develop new flexible univariate models for light-tailed and heavy-tailed data, which extend a hierarchical representation of the generalized Pareto (GP) limit for threshold exceedances. These models can accommodate departure from…

Methodology · Statistics 2020-09-14 Rishikesh Yadav , Raphaël Huser , Thomas Opitz

Numerous organisations collect data in the Great Barrier Reef (GBR), but they are rarely analysed together due to different program objectives, methods, and data quality. We developed a weighted spatiotemporal Bayesian model and used it to…

In situations where both extreme and non-extreme data are of interest, modelling the whole data set accurately is important. In a univariate framework, modelling the bulk and tail of a distribution has been extensively studied before.…

Methodology · Statistics 2023-10-11 Lídia M. André , Jennifer L. Wadsworth , Adrian O'Hagan

The return distributions of the coherent noise model are studied for the system size independent case. It is shown that, in this case, these distributions are in the shape of q-Gaussians, which are the standard distributions obtained in…

Statistical Mechanics · Physics 2011-05-30 Ahmet Celikoglu , Ugur Tirnakli , Silvio M. Duarte Queiros

Our goal is to develop a Bayesian model averaging technique in linear regression models that accommodates heavier tailed error densities than the normal distribution. Motivated by the use of the Huber loss function in the presence of…

Methodology · Statistics 2024-11-26 Shamriddha De , Joyee Ghosh

Classical models for multivariate or spatial extremes are mainly based upon the asymptotically justified max-stable or generalized Pareto processes. These models are suitable when asymptotic dependence is present, i.e., the joint tail…

Methodology · Statistics 2021-05-13 Zhongwei Zhang , Raphaël Huser , Thomas Opitz , Jennifer L. Wadsworth

Modelling of precipitation, including extremes, is important for hydrological and agricultural applications. Traditionally, because of large sample properties for data over a large threshold value, generalised Pareto (GP) distributions are…

Applications · Statistics 2014-11-11 Yang Liu , Philip Kokic , K. Shuvo Bakar

We develop a mixture model for transition density approximation, together with soft model selection, in the presence of noisy and heterogeneous nonlinear dynamics. Our model builds on the Gaussian mixture transition distribution (MTD) model…

Methodology · Statistics 2021-06-03 Matthew Heiner , Athanasios Kottas

This paper investigates the problem of adaptive detection of distributed targets in power heterogeneous clutter. In the considered scenario, all the data share the identical structure of clutter covariance matrix, but with varying and…

Methodology · Statistics 2024-10-10 Daipeng Xiao , Weijian Liu , Jun Liu , Lingyan Dai , Xueli Fang , Jianjun Ge

The q-Gaussians are a class of stable distributions which are present in many scientific fields, and that behave as heavy tailed distributions for an especific range of q values. The identification of these values, which are used in the…

Data Analysis, Statistics and Probability · Physics 2015-06-11 E. L de Santa Helena , C. M. Nascimento , G. J. L. Gerhardt

A stochastic subgrid-scale parameterization based on the Ruelle's response theory and proposed in Wouters and Lucarini [2012] is tested in the context of a low-order coupled ocean-atmosphere model for which a part of the atmospheric modes…

Atmospheric and Oceanic Physics · Physics 2017-01-18 Jonathan Demaeyer , Stéphane Vannitsem

The geometric mean is shown to be an appropriate statistic for the scale of a heavy-tailed coupled Gaussian distribution or equivalently the Student's t distribution. The coupled Gaussian is a member of a family of distributions…

Methodology · Statistics 2018-11-14 Kenric P. Nelson , Mark A. Kon , Sabir R. Umarov

In this paper, we investigate full-wave computed radar tomography (CRT) using a rubble-pile asteroid model in which a realistic shape (Itokawa) is coupled with a synthetic material composition and structure model. The aim is to show that…

Earth and Planetary Astrophysics · Physics 2019-09-12 Liisa-Ida Sorsa , Mika Takala , Patrick Bambach , Jakob Deller , Esa Vilenius , Sampsa Pursiainen

The Sixth Data Release (DR6) in the Sloan Digital Sky Survey (SDSS) provides more photometric regions, new features and more accurate data around globular cluster Palomar 5. A new method, Back Propagation Neural Network (BPNN), is used to…

Instrumentation and Methods for Astrophysics · Physics 2011-05-19 H. Zou , Z. -Y. Wu , J. Ma , X. Zhou

In this work, a coarse-grained (CG) model of carbon nanotube (CNT) reinforced polymer matrix composites is developed. A distinguishing feature of the CG model is the ability to capture interactions between polymer chains and nanotubes. The…

Applied Physics · Physics 2017-04-25 Behrouz Arash , Harold S. Park , Timon Rabczuk

The tailored coupled cluster (TCC) approach is a promising ansatz that preserves the simplicity of single-reference coupled cluster theory, while incorporating a multi-reference wave function through amplitudes obtained from a preceding…

Chemical Physics · Physics 2021-01-07 Maximilian Mörchen , Leon Freitag , Markus Reiher

It is shown, using direct numerical simulations and laboratory experiments data, that distributed chaos is often tuned to large scale coherent motions in anisotropic inhomogeneous turbulence. The examples considered are: fully developed…

Fluid Dynamics · Physics 2016-10-26 A. Bershadskii

We developed a method based on crossed polarizers to observe high-contrast coherent population trapping (CPT) resonance. Since crossed polarizers have a simple optical system, our method is suitable for chip-scale atomic clocks (CSACs). We…

Atomic Physics · Physics 2014-12-16 Yuichiro Yano , Shigeyoshi Goka

Taylor dispersion analysis is an increasingly popular characterization method that measures the diffusion coefficient, and hence the hydrodynamic radius, of (bio)polymers, nanoparticles or even small molecules. In this work, we describe an…

Soft Condensed Matter · Physics 2014-08-27 Luca Cipelletti , Jean-Philippe Biron , Michel Martin , Hervé Cottet

We propose a mixture of latent trait models with common slope parameters (MCLT) for model-based clustering of high-dimensional binary data, a data type for which few established methods exist. Recent work on clustering of binary data, based…

Methodology · Statistics 2017-10-09 Yang Tang , Ryan P. Browne , Paul D. McNicholas
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