In the various branches of science, probability and randomness provide us with useful theoretical frameworks. The Formalized Mathematics has already published some articles concerning the probability: [23], [24], [25], and [30]. In order to apply those articles, we shall give some theorems concerning the probability and the real-valued random variables to prepare for further studies.
@article{bwmeta1.element.doi-10_2478_v10037-009-0014-x, author = {Hiroyuki Okazaki and Yasunari Shidama}, title = {Probability on Finite Set and Real-Valued Random Variables}, journal = {Formalized Mathematics}, volume = {17}, year = {2009}, pages = {129-136}, zbl = {1281.60006}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-009-0014-x} }
Hiroyuki Okazaki; Yasunari Shidama. Probability on Finite Set and Real-Valued Random Variables. Formalized Mathematics, Tome 17 (2009) pp. 129-136. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-009-0014-x/
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