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The mixture of factor analyzers (MFA) model provides a powerful tool for analyzing high-dimensional data as it can reduce the number of free parameters through its factor-analytic representation of the component covariance matrices. This…

Methodology · Statistics 2013-07-09 Tsung-I Lin , Geoffrey J. McLachlan , Sharon X. Lee

Exponential families are widely used in machine learning, including many distributions in continuous and discrete domains (e.g., Gaussian, Dirichlet, Poisson, and categorical distributions via the softmax transformation). Distributions in…

Over the last two decades, it has been argued that the Lorentz transformation mechanism, which imposes the generalization of Newton's classical mechanics into Einstein's special relativity, implies a generalization, or deformation, of the…

Statistics Theory · Mathematics 2022-03-04 G. Kaniadakis

This paper proposes to unify fading distributions by modeling the magnitude-squared of the instantaneous channel gain as an infinitely divisible random variable. A random variable is said to be infinitely divisible, if it can be written as…

Information Theory · Computer Science 2015-08-21 Adithya Rajan , Cihan Tepedelenlioglu , Ruochen Zeng

In directional statistics, the von Mises distribution is a key element in the analysis of circular data. While there is a general agreement regarding the estimation of its location parameter $\mu$, several methods have been proposed to…

Applications · Statistics 2024-09-10 Guillaume Marrelec , Alain Giron

We investigate Lyman-alpha forest flux statistics in mixed fuzzy dark matter (FDM) and cold dark matter (CDM) cosmologies using the Fluctuating Gunn-Peterson Approximation (FGPA) applied to hybrid Schr\"odinger-Poisson and N-body…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-08 Yourong Frank Wang

We propose a method to fuse posterior distributions learned from heterogeneous datasets. Our algorithm relies on a mean field assumption for both the fused model and the individual dataset posteriors and proceeds using a simple…

Machine Learning · Computer Science 2020-07-14 Sebastian Claici , Mikhail Yurochkin , Soumya Ghosh , Justin Solomon

Finite mixture of skew distributions have emerged as an effective tool in modelling heterogeneous data with asymmetric features. With various proposals appearing rapidly in the recent years, which are similar but not identical, the…

Methodology · Statistics 2013-05-29 Sharon X. Lee , Geoffrey J. McLachlan

The univariate Birnbaum-Saunders distribution has been used quite effectively to model times to failure for materials subject to fatigue and for modeling lifetime data. In this article, we define a skewed version of the Birnbaum-Saunders…

Methodology · Statistics 2012-04-30 Artur J. Lemonte , Guillermo Martínez-Florez , Germán Moreno-Arenas

This work addresses the propagation of chaos properties in a class of moderately interacting particle systems for the approximation of singular kinetic McKean-Vlasov SDEs driven by alpha-stable processes.

Analysis of PDEs · Mathematics 2026-02-16 Zimo Hao , Jean-Francois Jabir , Stéphane Menozzi , Michael Röckner , Xicheng Zhang

The unified skew-t (SUT) is a flexible parametric multivariate distribution that accounts for skewness and heavy tails in the data. A few of its properties can be found scattered in the literature or in a parameterization that does not…

Methodology · Statistics 2023-12-01 Kesen Wang , Maicon J. Karling , Reinaldo B. Arellano-Valle , Marc G. Genton

A new stochastic order between two fading distributions is introduced. A fading channel dominates another in the ergodic capacity ordering sense, if the Shannon transform of the first is greater than that of the second at all values of…

Information Theory · Computer Science 2016-11-15 Adithya Rajan , Cihan Tepedelenlioglu

In this paper, we investigate the diffusion least mean square (DLMS) algorithm over fading channel, where in addition to channel noise and path-loss the inter-node-interference (INI) among neighboring nodes of a host node is also taken into…

Signal Processing · Electrical Eng. & Systems 2023-03-21 Mohammadjavad Mirzazadeh Moallem , Mehdi Korki

Channel modeling is essential for design and performance evaluation of numerous protocols in vehicular networks. In this work, we study and provide results for largescale and small-scale modeling of communication channel in dense vehicular…

Signal Processing · Electrical Eng. & Systems 2018-08-03 Hossein Nourkhiz Mahjoub , Amin Tahmasbi-Sarvestani , S M Osman Gani , Yaser P. Fallah

Electron-acoustic solitary waves (EASWs) in quantum plasma comprising stationary ions, cold electrons, hot electrons, and kappa-distributed electrons have been investigated. The generalized Kappa-Fermi distribution has been modified to…

Plasma Physics · Physics 2025-04-07 Aakanksha Singh , Punit Kumar

This paper studies sufficient conditions for deriving the kappa distribution in polytropic plasmas by an improved method compared with the previous work [R. Guo, Phys. Plasmas \textbf{27}, 122104 (2020)]. We find that the polytropic…

Plasma Physics · Physics 2024-09-05 Ran Guo

The effect of introducing a mass dependent diffusion rate ~ m^{-alpha} in a model of coagulation with single-particle break up is studied both analytically and numerically. The model with alpha=0 is known to undergo a nonequilibrium phase…

Statistical Mechanics · Physics 2009-11-07 R. Rajesh , Dibyendu Das , Bulbul Chakraborty , Mustansir Barma

This paper deals with the problem of estimating predictive densities of a matrix-variate normal distribution with known covariance matrix. Our main aim is to establish some Bayesian predictive densities related to matricial shrinkage…

Statistics Theory · Mathematics 2017-04-03 Hisayuki Tsukuma , Tatsuya Kubokawa

We introduce a one dimensional disordered Ising model which at zero temperature is characterized by a non-trivial, non-self-averaging, overlap probability distribution when the impurity concentration vanishes in the thermodynamic limit. The…

Condensed Matter · Physics 2009-10-22 A. Crisanti , G. Paladin , M. Serva , A. Vulpiani

The research presents the closed-form outage analysis of the newly presented $\alpha$-modification of the shadowed Beaulieu-Xie fading model for wireless communications. For the considered channel, the closed-form analytical expressions for…

Signal Processing · Electrical Eng. & Systems 2024-02-12 Aleksey S. Gvozdarev