Convolution equation with a kernel represented by gamma distributions

The convolution integral equation is considered on the half-line and on a finite interval. Its kernel function is the distribution density of a random variable represented as a two-sided mixture of gamma distributions. The method of numerical-analytical solution of this equation is developed, and th...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) Vol. 204; no. 3; pp. 271 - 279
Main Author: Barseghyan, Ani G.
Format: Journal Article
Language:English
Published: Boston Springer US 04.01.2015
Springer
Subjects:
Mathematics
Mathematics and Statistics
gamma distribution
Convolution operator
factorization
homogeneous conservative equation
numerical-analytical solution
ISSN:1072-3374, 1573-8795
Online Access:Get full text
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Summary:The convolution integral equation is considered on the half-line and on a finite interval. Its kernel function is the distribution density of a random variable represented as a two-sided mixture of gamma distributions. The method of numerical-analytical solution of this equation is developed, and the solution of the homogeneous conservative equation on the half-line is constructed.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-014-2201-8