Results 1 to 10 of about 178,633 (271)
Product Convolution of Generalized Subexponential Distributions
Mathematics, 2023 Assume that ξ and η are two independent random variables with distribution functions Fξ and Fη, respectively. The distribution of a random variable ξη, denoted by Fξ⊗Fη, is called the product-convolution of Fξ and Fη.
Gustas Mikutavičius, Jonas Šiaulys
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Random convolution of O-exponential distributions
Nonlinear Analysis, 2015 Assume that ξ1, ξ2, ... are independent and identically distributed non-negative random variables having the O-exponential distribution. Suppose that η is a nonnegative non-degenerate at zero integer-valued random variable independent of ξ1, ξ2, ... . In
Svetlana Danilenko, Jonas Šiaulys
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On the non-closure under convolution for strong subexponential distributions
Nonlinear Analysis, 2022 In this paper, we consider the convolution closure problem for the class of strong subexponential distributions, denoted as S*. First, we show that, if F, G ∈ L, then inclusions of F*G, FG, and pF + (1 – p)G for all (some) p ∈ (0; 1) into the class S ...
Dimitrios Konstantinides +2 more
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Convolution of Distributions [PDF]
, 2010 Convolution involves translation; that makes it difficult to define the former operation for functions or distributions supported by arbitrary open subsets in R n. Therefore we initially consider objects defined on all of R n.
J. J. Duistermaat, J. A. C. Kolk
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Distributed Training of Graph Convolutional Networks [PDF]
IEEE Transactions on Signal and Information Processing over Networks, 2021 Published on IEEE Transactions on Signal and Information Processing over ...
Scardapane S, Spinelli I, Di Lorenzo P
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A note on product-convolution for generalized subexponential distributions
Nonlinear Analysis, 2022 In this paper, we consider the stability property of the class of generalized subexponential distributions with respect to product-convolution. Assuming that the primary distribution is in the class of generalized subexponential distributions, we find ...
Dimitrios Konstantinides +2 more
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Rank one HCIZ at high temperature: interpolating between classical and free convolutions
SciPost Physics, 2022 We study the rank one Harish-Chandra-Itzykson-Zuber integral in the limit where $\frac{N \beta}{2} \to c $, called the high temperature regime and show that it can be used to construct a promising one-parameter interpolation, with parameter $c ...
Pierre Mergny, Marc Potters
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Convolution, Correlation and Generalized Shift Operations Based on the Fresnel Transform
Sensors, 2023 The Fresnel transform (FrT) is commonly used to describe the free-space propagation of optical waves. In this work, we present new definitions for the convolution, correlation and generalized shift operations based on the FrT.
Juan M. Vilardy +2 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 The main provisions of the operational calculus based on the convolution algebra of distributions D+ and D− that extends this method to the negative values of the argument are given.
Iosif L Kogan
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2018 A new justification is given for the Mikusinsky operator calculus entirely based on the convolution algebra of generalized functions $D'_+$ and $D'_-$, as applied to the solution of linear partial differential equations with constant coefficients in the ...
Iosif L Kogan
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