A general analytical solution for calculating n-fold convolution power of exponential-sum distribution functions

Ma NY.; King RP.

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A general analytical solution for calculating n-fold convolution power of exponential-sum distribution functions

机译：计算指数和分布函数的n倍卷积幂的通用解析解

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In this paper, a general analytical solution for calculating n-fold convolution power of exponential-sum distribution functions is developed by means of Laplace transform technique. In principle, the formulae presented in this paper provide complete solution for any number of exponentials and any folds of convolution power. Testing results show that those formulae are correct. (C) 2002 Elsevier Science Inc. All rights reserved. [References: 9]

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《Applied mathematics and computation》 |2002年第1期|共9页
作者
Ma NY.; King RP.;
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正文语种 eng
中图分类应用数学;
关键词
N-fold convolution; Exponential-sum distribution functions; Laplace transform;

机译：N倍卷积;指数和分布函数;拉普拉斯变换;

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1. A general analytical solution for calculating n-fold convolution power of exponential-sum distribution functions [J] . Ma NY., King RP. Applied mathematics and computation . 2002,第1期

机译：计算指数和分布函数的n倍卷积幂的通用解析解
2. The n-fold convolution of generalized exponential-sum distribution functions [J] . Ma NY., King RP. Applied mathematics and computation . 2003,第1期

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3. A novel semi-analytical solution for calculating the temperature distribution of the lithium-ion batteries during nail penetration based on Green's function method [J] . Applied thermal engineering: Design, processes, equipment, economics . 2020,第期

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5. Asymptotic expansion for the L1 norm of N-fold convolutions [D] . Stey, George Carl 2007

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6. Comparison between measured and calculated dynamic wedge dose distributions using the anisotropic analytic algorithm and pencil‐beam convolution [O] . Paola Caprile, Carlos Daniel Venencia, Pelayo Besa 2007

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7. SOME BOUNDS FOR THE n-FOLD CONVOLUTION OF CONCAVE AND LOG-CONCAVE DISTRIBUTION FUNCTIONS [O] . Halil AYDOĞDU 1999

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8. An Algorithm and Implementing Software for Calculating Convolution Integrals Involving Distributions with a Singularity at the Origin [R] . McConalogue, D. J. 1981

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A general analytical solution for calculating n-fold convolution power of exponential-sum distribution functions

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