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


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

October 1, 2018
February 12, 2019
July 20, 2019
probability distribution, random variable, probability space, generative model, mathematical notation

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:
Hiroki Shibata and Yasufumi Takama, “Index-Based Notation for Random Variable and Probability Space,” J. Adv. Comput. Intell. Intell. Inform., Vol.23, No.4, pp. 715-718, 2019.
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Last updated on Mar. 01, 2021