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JACIII Vol.23 No.4 pp. 715-718
doi: 10.20965/jaciii.2019.p0715
(2019)

Letter:

Index-Based Notation for Random Variable and Probability Space

Hiroki Shibata and Yasufumi Takama

Graduate School of System Design, Tokyo Metropolitan University
6-6 Asahigaoka, Hino, Tokyo 191-0065, Japan

Received:
October 1, 2018
Accepted:
February 12, 2019
Published:
July 20, 2019
Keywords:
probability distribution, random variable, probability space, generative model, mathematical notation
Abstract

In a conventional notation used in many studies, a probability space and state space of random variables is identified by its symbol. However, such a notation makes a formula ambiguous in a large equation. This letter proposes to use an index set to identify the probability space and state space of random variables. It is shown that the proposed notation can increase the generality of formulas without ambiguity.

Cite this article as:
H. Shibata and Y. Takama, “Index-Based Notation for Random Variable and Probability Space,” J. Adv. Comput. Intell. Intell. Inform., Vol.23, No.4, pp. 715-718, 2019.
Data files:
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Last updated on Sep. 19, 2019