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We introduce graph gamma process (GGP) linear dynamical systems to model real-valued multivariate time series. For temporal pattern discovery, the latent representation under the model is used to decompose the time series into a…

Methodology · Statistics 2020-07-28 Rahi Kalantari , Mingyuan Zhou

We study the diffusion of charged particles in the weakly ionized plasma with the power-law kappa-distributions and without magnetic field. The electrons and ions have different kappa-parameters. We obtain the expressions of both diffusion…

Plasma Physics · Physics 2020-02-04 Lan Wang , Jiulin Du

Diagnostic test accuracy studies typically report the number of true positives, false positives, true negatives and false negatives. There usually exists a negative association between the number of true positives and true negatives,…

Methodology · Statistics 2015-11-06 Aristidis K. Nikoloulopoulos

We present a systematic formulation of scattering theory for nonlinear interactions in one dimension and develop a nonlinear generalization of the transfer matrix that has a composition property similar to its linear analog's. We offer…

Quantum Physics · Physics 2019-01-25 Ali Mostafazadeh

Nonlinear wave formation and propagation on a complex network with excitable node dynamics is of fundamental interest in diverse fields in science and engineering. Here, we propose a new model of the Kuramoto type to study nonlinear wave…

Pattern Formation and Solitons · Physics 2016-01-21 Shou-Wen Wang , Yueheng Lan

In this paper, a novel unified analytical expression for average bit error rates (ABER) and average channel capacity (ACC) is presented for the ${\kappa}-{\mu}$ shadowed fading model. This new shadowed fading model has shown to be suitable…

Information Theory · Computer Science 2017-03-14 Ehab Salahat , Ali Hakam

In this paper, we study the statistical characterization of the sum of the squared $\kappa-\mu$ shadowed random variables with correlated shadowing components. The probability density function (PDF) of this sum is obtained in the form of a…

Information Theory · Computer Science 2014-09-09 Manav R. Bhatnagar

In this paper, we analyse the joint impact of pathloss, shadowing and fast fading on wireless networks. Taking into account the pathloss and the shadowing, we first express the SINR distribution of a mobile located at a given distance from…

Networking and Internet Architecture · Computer Science 2010-01-08 Jean-Marc Kelif , Marceau Coupechoux

The performance of multipath-enhanced device-free localization severely depends on the information about the propagation paths within the network. While known for the line-of-sight, the propagation paths have yet to be determined for…

Signal Processing · Electrical Eng. & Systems 2024-08-15 Martin Schmidhammer , Christian Gentner , Michael Walter , Stephan Sand , Benjamin Siebler , Uwe-Carsten Fiebig

In this work we develop a new propagation model for the Galactic cosmic rays based on the GALPROP code, including contributions from dark matter annihilation. The model predicts compatible Galactic diffuse $\gamma$ ray spectra with EGRET…

Astrophysics · Physics 2008-11-26 Xiao-Jun Bi , Juan Zhang , Qiang Yuan

This paper provides bifactor gamma distribution, trivariate gamma distribution and two copula families on [0, 1] n obtained from the Laplace transforms of the multivariate gamma distribution and the multi-factor gamma distribution given by…

Statistics Theory · Mathematics 2016-11-23 Philippe Bernardoff

The high precision attained by cosmological data in the last few years has increased the interest in exact solutions. Analytic expressions for solutions in the Standard Model are presented here for all combinations of $\Lambda = 0$,…

General Relativity and Quantum Cosmology · Physics 2009-09-29 R. Aldrovandi , R. R. Cuzinatto , L. G. Medeiros

This paper tackles the issue of real-time parametric estimation of a wide class of probability density functions from limited datasets. This type of estimation addresses recent applications that require joint sensing and actuation. The…

Information Theory · Computer Science 2022-03-21 Ahmad A. Masoud

In this work, we examine the performance of selective-decode and forward (S-DF) relay systems over kappa-mu fading channel condition. We discuss about the probability density function (PDF), system model, and cumulative distribution…

Networking and Internet Architecture · Computer Science 2020-01-07 Ravi Shankar , Lokesh Bhardwaj , Ritesh Kumar Mishra

We present a novel relationship between the distribution of circular and non-circular complex Gaussian random variables. Specifically, we show that the distribution of the squared norm of a non-circular complex Gaussian random variable,…

Information Theory · Computer Science 2020-04-02 Juan M. Romero-Jerez , F. Javier Lopez-Martinez

Gaussian graphical model is one of the powerful tools to analyze conditional independence between two variables for multivariate Gaussian-distributed observations. When the dimension of data is moderate or high, penalized likelihood methods…

Methodology · Statistics 2025-01-24 Takahiro Onizuka , Shintaro Hashimoto

The dispersion and damping of ion-acoustic waves in the plasma with a regularized kappa-distribution are studied. The generalized dispersion relation and damping rate are derived, which both depend significantly on the parameters alpha and…

Plasma Physics · Physics 2023-09-29 Rui Huo , Jiulin Du

The Gray-Scott model can be thought of as an effective theory at large spatiotemporal scales coming from a more fundamental theory valid at shorter spatiotemporal scales. The more fundamental theory includes a composite molecule which is…

Statistical Mechanics · Physics 2019-10-16 John F. Dawson , Fred Cooper , Bogdan Mihaila

In order to better fit real-world datasets, studying asymmetric distribution is of great interest. In this work, we derive several mathematical properties of a general class of asymmetric distributions with positive support which shows up…

Statistics Theory · Mathematics 2025-12-11 Felipe S. Quintino , Pushpa N. Rathie , Luan C. S. M. Ozelim , Tiago A. da Fonseca , Roberto Vila

The propagation of stable coherent entities of an electromagnetic field in nonlinear media with parameters varying in space can be described in the framework of iterations of nonlinear integral transformations. It is shown that for a set of…

Pattern Formation and Solitons · Physics 2020-12-10 A. Yu. Okulov