# Probability Measure on Discrete Spaces and Algebra of Real-Valued Random Variables

Hiroyuki Okazaki; Yasunari Shidama

Formalized Mathematics (2010)

- Volume: 18, Issue: 4, page 213-217
- ISSN: 1426-2630

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topHiroyuki Okazaki, and Yasunari Shidama. "Probability Measure on Discrete Spaces and Algebra of Real-Valued Random Variables." Formalized Mathematics 18.4 (2010): 213-217. <http://eudml.org/doc/266994>.

@article{HiroyukiOkazaki2010,

abstract = {In this article we continue formalizing probability and randomness started in [13], where we formalized some theorems concerning the probability and real-valued random variables. In this paper we formalize the variance of a random variable and prove Chebyshev's inequality. Next we formalize the product probability measure on the Cartesian product of discrete spaces. In the final part of this article we define the algebra of real-valued random variables.},

author = {Hiroyuki Okazaki, Yasunari Shidama},

journal = {Formalized Mathematics},

language = {eng},

number = {4},

pages = {213-217},

title = {Probability Measure on Discrete Spaces and Algebra of Real-Valued Random Variables},

url = {http://eudml.org/doc/266994},

volume = {18},

year = {2010},

}

TY - JOUR

AU - Hiroyuki Okazaki

AU - Yasunari Shidama

TI - Probability Measure on Discrete Spaces and Algebra of Real-Valued Random Variables

JO - Formalized Mathematics

PY - 2010

VL - 18

IS - 4

SP - 213

EP - 217

AB - In this article we continue formalizing probability and randomness started in [13], where we formalized some theorems concerning the probability and real-valued random variables. In this paper we formalize the variance of a random variable and prove Chebyshev's inequality. Next we formalize the product probability measure on the Cartesian product of discrete spaces. In the final part of this article we define the algebra of real-valued random variables.

LA - eng

UR - http://eudml.org/doc/266994

ER -

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