학술논문

g-Mellin transform in probability theory
Document Type
Conference
Source
2020 IEEE 18th International Symposium on Intelligent Systems and Informatics (SISY) Intelligent Systems and Informatics (SISY), 2020 IEEE 18th International Symposium on. :33-36 Sep, 2020
Subject
Bioengineering
Communication, Networking and Broadcast Technologies
Computing and Processing
Engineering Profession
Power, Energy and Industry Applications
Robotics and Control Systems
Signal Processing and Analysis
Convolution
Transforms
Probability density function
Random variables
Intelligent systems
Informatics
Convergence
g-semiring
g-Mellin transform
g-Mellin convolution
pseudo-probability
g-weak convergence
Language
ISSN
1949-0488
Abstract
Some applications of the g-Mellin transform in probability theory are presented in the paper. The connection between the g-Mellin convolution and the probability density function of a product of two independent continuous random variables and one example is given. The connections between the convergence of a sequence of g-Mellin transforms of random variables and the g-weak convergence of the corresponding sequence of pseudo-probability measures is shown.