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Three types of integral representations for the cumulative distribution functions of convolutions of non-central p-variate gamma distributions are given by integration of elementary complex functions over the p-cube Cp =…

Statistics Theory · Mathematics 2007-05-23 Thomas Royen

In this letter, some applications of wireless communication systems over $\alpha-\eta-\kappa-\mu$ fading channels are analysed. More specifically, the effective rate and the average of both the detection probability and area under the…

Information Theory · Computer Science 2019-09-17 Hussien Al-Hmood , H. S. Al-Raweshidy

This paper deals with fading and/or near-far effects with or without power control on the evaluation of the sum capacity of finite dimensional Code Division Multiple Access (CDMA) systems for binary and finite nonbinary inputs and signature…

Information Theory · Computer Science 2012-01-11 P. Kabir , M. H. Shafinia , F. Marvasti , P. Pad

Mixture models are useful in a wide array of applications to identify subpopulations in noisy overlapping distributions. For example, in multiplexed immunofluorescence (mIF), cell image intensities represent expression levels and the cell…

Lattice Green's functions (LGF) and density of states (DOS) for non-interacting models on 3 related lattices are presented. The DOS and LGF at the origin for the kagome and diced lattices are rederived. Furthermore, from the form obtained…

Statistical Mechanics · Physics 2013-11-01 Vipin Kerala Varma , Hartmut Monien

This paper studies the performance of a downlink non-orthogonal multiple access (NOMA) based cooperative network with maximal ratio transmission/receive antenna selection (MRT/RAS) over Nakagami-m fading channels in the presence of channel…

Signal Processing · Electrical Eng. & Systems 2019-03-20 Mahmoud Aldababsa , Oğuz Kucur

In the paper, we study the service process $S(t)$ of an independent and identically distributed (\textit{i.i.d.}) Nakagami-$m$ fading channel, which is defined as the amount of service provided, i.e., the integral of the instantaneous…

Information Theory · Computer Science 2014-03-20 Yunquan Dong , Qing Wang , Pingyi Fan , Khaled Ben Letaief

Smooth, highly accurate analytical representations of Fermi-Dirac (FD) integral combinations important in free-energy density functional calculations are presented. Specific forms include those that occur in the local density approximation…

Computational Physics · Physics 2015-04-21 Valentin V. Karasiev , Debajit Chakraborty , S. B. Trickey

We present marginal cumulative distribution functions (CDF) for density matrices $\rho$ of fixed purity $\tfrac{1}{N}\le\mu_N(\rho)=\textrm{Tr}[\rho^2]\le 1$ for arbitrary dimension $N$. We give closed form analytic formulas for the cases…

This letter investigates the uplink outage performance of intelligent reflecting surface (IRS)-assisted non-orthogonal multiple access (NOMA). We consider the general case where all users have both direct and reflection links, and all links…

Information Theory · Computer Science 2021-01-05 Bashar Tahir , Stefan Schwarz , Markus Rupp

In this paper, the performance of a power domain downlink multiple-input multiple-output non-orthogonal multiple access system in dual-hop full-duplex (FD) relaying networks is investigated over Nakagami-$m$ fading channels by considering…

Information Theory · Computer Science 2021-09-28 Mesut Toka , Eray Guven , Mehmet Akif Durmaz , Gunes Karabulut Kurt , Oguz Kucur

In this work we present a three step procedure for generating a closed form expression of the Green's function on both closed and open finite quantum graphs with general self-adjoint matching conditions. We first generalize and simplify the…

Quantum Physics · Physics 2023-09-21 Tristan Lawrie , Sven Gnutzmann , Gregor Tanner

Although many programs have been published for fully numerical Hartree--Fock (HF) or density functional (DF) calculations on atoms, we are not aware of any that support hybrid DFs, which are popular within the quantum chemistry community…

Chemical Physics · Physics 2019-08-19 Susi Lehtola

We present the continued fraction method (CFM) as a new microscopic approximation to the spectral density of the Hubbard model in the correlated metal phase away from half filling. The quantity expanded as a continued fraction is the single…

Strongly Correlated Electrons · Physics 2009-11-11 R. Hayn , P. Lombardo , K. Matho

We study integrals of the form $\int_{\Omega}f\left( d\omega_1 , \ldots , d\omega_m \right), $ where $m \geq 1$ is a given integer, $1 \leq k_{i} \leq n$ are integers and $\omega_{i}$ is a $(k_{i}-1)$-form for all $1 \leq i \leq m$ and $…

Functional Analysis · Mathematics 2025-04-02 Swarnendu Sil

Capitalizing on the recently proposed Fisher-Snedecor F composite fading model, in this letter, we investigate the sum of independent but not identically distributed (i.n.i.d.) Fisher-Snedecor F variates. First, a novel closed-form…

Signal Processing · Electrical Eng. & Systems 2019-02-01 Osamah. S. Badarneh , Daniel B. da Costa , Paschalis C. Sofotasios , Sami Muhaidat , Simon L. Cotton

We introduce the multivariate decomposition finite element method for elliptic PDEs with lognormal diffusion coefficient $a=\exp(Z)$ where $Z$ is a Gaussian random field defined by an infinite series expansion $Z(\boldsymbol{y}) =…

Numerical Analysis · Mathematics 2021-09-28 Dong T. P. Nguyen , Dirk Nuyens

The H-function extension of the Negative Binomial Distribution is investigated for scaling exponents mu<0. Its analytic form is derived via a convolution property of the H-function. Applications are provided using multihadron and galaxy…

High Energy Physics - Phenomenology · Physics 2009-10-30 S. Hegyi

Hypergeometric functions and their generalizations play an important r\^{o}les in diverse applications. Many authors have been established generalizations of hypergeometric functions by a number ways. In this paper, we aim at establishing…

Classical Analysis and ODEs · Mathematics 2017-05-18 Praveen Agarwal , Mohamed Jleli

The estimation of cumulative distribution functions (CDF) is an important learning task with a great variety of downstream applications, such as risk assessments in predictions and decision making. In this paper, we study functional…

Machine Learning · Computer Science 2024-03-11 Qian Zhang , Anuran Makur , Kamyar Azizzadenesheli