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The probability density function (PDF) and cumulative distribution function of the sum of L independent but not necessarily identically distributed Gamma variates, applicable to the output statistics of maximal ratio combining (MRC)…

信息论 · 计算机科学 2012-07-19 Imran Shafique Ansari , Ferkan Yilmaz , Mohamed-Slim Alouini , Oğuz Kucur

An effective-medium theory is proposed for random weakly nonlinear dielectric media. It is based on a new gaussian approximation for the probability distributions of the electric field in each component of a multi-phase composite. These…

材料科学 · 物理学 2008-04-17 Yves-Patrick Pellegrini

In the study of heavy tail data, several models have been introduced. If the interest is in the tail of the distribution, block maxima or excess over thresholds are the typical approaches, wasting relevant information in the bulk of the…

统计方法学 · 统计学 2026-02-10 Luis E. Nieto-Barajas

In many wireless systems, interference is the main performance-limiting factor, and is primarily dictated by the locations of concurrent transmitters. In many earlier works, the locations of the transmitters is often modeled as a Poisson…

信息论 · 计算机科学 2016-11-17 Radha Krishna Ganti , Jeffrey G. Andrews , Martin Haenggi

In this paper, we consider the transmission of confidential information over a $\kappa$-$\mu$ fading channel in the presence of an eavesdropper, who also observes $\kappa$-$\mu$ fading. In particular, we obtain novel analytical solutions…

信息论 · 计算机科学 2015-07-27 Nidhi Bhargav , Simon L. Cotton , David E. Simmons

Smoothing is a specialized form of Bayesian inference for state-space models that characterizes the posterior distribution of a collection of states given an associated sequence of observations. Ramgraber et al. (2023) proposes a general…

统计方法学 · 统计学 2023-11-23 Maximilian Ramgraber , Ricardo Baptista , Dennis McLaughlin , Youssef Marzouk

Generalized additive models for location, scale and shape (GAMLSS) are a popular extension to mean regression models where each parameter of an arbitrary distribution is modelled through covariates. While such models have been developed for…

统计方法学 · 统计学 2024-12-02 Lucas Kock , Nadja Klein

Counterfactual explanations methods provide an important tool in the field of {interpretable machine learning}. Recent advances in this direction have focused on diffusion models to explain a deep classifier. However, these techniques have…

机器学习 · 计算机科学 2025-09-03 Wei Zhang , Brian Barr , John Paisley

Fading is the time-dependent variation in transmitted signal strength through a complex medium, due to interference or temporally evolving multipath scattering. In this paper we use random matrix theory (RMT) to establish a first-principles…

混沌动力学 · 物理学 2012-01-30 Jen-Hao Yeh , Thomas M. Antonsen , Edward Ott , Steven M. Anlage

The popular generalized additive model framework is extended to allow both the mean curves and the response distribution to be nonparametric. The approach is demonstrated to be a flexible yet parsimonious tool for data analysis in its own…

统计方法学 · 统计学 2017-09-18 Alan Huang , Nanxi Zhang

Thermal Doppler broadening of spectral profiles for particle populations in the absence or presence of potential fields are described by kappa distributions. The kappa distribution provides a replacement for the Maxwell-Boltzmann…

太阳与恒星天体物理 · 物理学 2024-08-01 Arak M. Mathai , Hans J. Haubold

Directed acyclic graphs (DAGs) are a popular framework to express multivariate probability distributions. Acyclic directed mixed graphs (ADMGs) are generalizations of DAGs that can succinctly capture much richer sets of conditional…

机器学习 · 统计学 2010-09-01 Ricardo Silva , Charles Blundell , Yee Whye Teh

This article proposes a graphical model that handles mixed-type, multi-group data. The motivation for such a model originates from real-world observational data, which often contain groups of samples obtained under heterogeneous conditions…

统计方法学 · 统计学 2023-01-02 Sjoerd Hermes , Joost van Heerwaarden , Pariya Behrouzi

Multipath propagation of radio waves in indoor/outdoor environments shows a highly irregular behavior as a function of time. Typical modeling of this phenomenon assumes the received signal is a stochastic process composed of the…

数据分析、统计与概率 · 物理学 2007-05-23 C. Tannous , R. Davies , A. Angus

The famous Fisher-KPP reaction-diffusion model combines linear diffusion with the typical KPP reaction term, and appears in a number of relevant applications in biology and chemistry. It is remarkable as a mathematical model since it…

偏微分方程分析 · 数学 2016-02-19 Alessandro Audrito , Juan Luis Vázquez

The gamma distribution is a useful model for small area prediction of a skewed response variable. We study the use of the gamma distribution for small area prediction. We emphasize a model, called the gamma-gamma model, in which the area…

统计方法学 · 统计学 2023-01-18 Yanghyeon Cho , Emily Berg

Quantized, compact graphs were shown to be excellent paradigms for quantum chaos in bounded systems. Connecting them with leads to infinity we show that they display all the features which characterize scattering systems with an underlying…

chao-dyn · 物理学 2009-10-31 Tsampikos Kottos , U. Smilansky

We consider the diffuse gamma ray data from FERMI first year observations and compare them to the gamma ray fluxes predicted by Dark Matter annihilation or decay (both from prompt emission and from Inverse Compton Scattering), for different…

宇宙学与河外天体物理 · 物理学 2015-03-13 Marco Cirelli , Paolo Panci , Pasquale D. Serpico

In this paper, new exact and approximate moment generating functions (MGF) expression for generalized fading models are derived. Specifically, we consider the ${\eta}-{\lambda}-{\mu}$, ${\alpha}-{\mu}$, ${\alpha}-{\eta}-{\mu}$,…

信息论 · 计算机科学 2017-03-14 Ehab Salahat , Ali Hakam , Nazar Ali , Ahmed Kulaib

This article presents factor copula approaches to model temporal dependency of non-Gaussian (continuous/discrete) longitudinal data. Factor copula models are canonical vine copulas which explain the underlying dependence structure of a…

统计方法学 · 统计学 2025-02-18 Subhajit Chattopadhyay