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Academic Journal of Computing & Information Science, 2023, 6(3); doi: 10.25236/AJCIS.2023.060304.

Solution of the Eigenfunction of Mixed Random Variables

Author(s)

Xiaobo Wen

Corresponding Author:
Xiaobo Wen
Affiliation(s)

Sichuan Minzu College, Kangding, Sichuan, 626001, China

Abstract

The distribution function of mixed random variable can be split into a linear combination of a continuous distribution function and a discrete distribution function. In this paper, the expectation of mixed random variable is analyzed, and then the mathematical expectation of the function of mixed random variable is studied, and finally the general solution formula of the characteristic function of mixed random variable is obtained. The solution of the characteristic functions of the usual discrete and continuous random variables can also be analyzed by the ideas and methods in this paper, and relevant conclusion can also be drawn.

Keywords

mixed random variables, eigenfunctions, distribution functions, stieltjes integrals

Cite This Paper

Xiaobo Wen. Solution of the Eigenfunction of Mixed Random Variables. Academic Journal of Computing & Information Science (2023), Vol. 6, Issue 3: 28-34. https://doi.org/10.25236/AJCIS.2023.060304.

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