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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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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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Convolution Product for Hilbert $C^*$-Module Valued Maps [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we introduce a convolution-type product for strongly integrable Hilbert $C^*$-module valued maps on locally compact groups. We investigate various properties of this product related to uniform continuity, boundless, etc.
Mawoussi Todjro, Yaogan Mensah
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Karatsuba Algorithm Revisited for 2D Convolution Computation Optimization [PDF]
EntropyConvolution plays a significant role in many scientific and technological computations, such as artificial intelligence and signal processing. Convolutional computations consist of many dot-product operations (multiplication–accumulation, or MAC), for ...
Qi Wang +6 more
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Product-convolution operators and mixed-norm spaces [PDF]
Transactions of the American Mathematical Society, 1981 Conditions for boundedness and compactness of product-convolution operators g → P h C f g = h ⋅ ( f ∗ g ) g \to {P_h}{C_f}g = h \cdot (f\ast g) on spaces
Busby, Robert C., Smith, Harvey A.
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Convolutions generated by the dirichlet problem of the sturm-liouville operator
Вестник КазНУ. Серия математика, механика, информатика, 2022 This paper is devoted to approximations of the product of two continuous functions on a finite segment by some special convolutions. The accuracy of the approximation depends on the length of the segment on which the functions are defined.
Sh. A. Mukhamedmoldina +3 more
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On the long tail property of product convolution [PDF]
Lithuanian Mathematical Journal, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cui, Zhaolei, Wang, Yuebao
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The Convolution Theorem Involving Windowed Free Metaplectic Transform
Fractal and Fractional, 2023 The convolution product is widely used in many fields, such as signal processing, numerical analysis and so on; however, the convolution theorem in the domain of the windowed metaplectic transformation (WFMT) has not been studied.
Manjun Cui, Zhichao Zhang
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Approximation of Integral Operators Using Product-Convolution Expansions [PDF]
Journal of Mathematical Imaging and Vision, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Escande, Paul, Weiss, Pierre
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THE SUBEXPONENTIAL PRODUCT CONVOLUTION OF TWO WEIBULL-TYPE DISTRIBUTIONS [PDF]
Journal of the Australian Mathematical Society, 2010 AbstractLet X1 and X2 be two independent and nonnegative random variables with distributions F1 and F2, respectively. This paper proves that if both F1 and F2 are of Weibull type and fulfill certain easily verifiable conditions, then the distribution of the product X1X2, called the product convolution of F1 and F2, belongs to the class 𝒮* and, hence ...
Liu, Yan, Tang, Qihe
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