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Law of total probability and Bayes' theo...

Hong, Liang...

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Law of total probability and Bayes' theorem in Riesz spaces by Hong, Liang ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	07-09-2023
Summary	This note generalizes the notion of conditional probability to Riesz spaces using the order-theoretic approach. With the aid of this concept, we establish the law of total probability and Bayes' theorem in Riesz spaces; we also prove an inclusion-exclusion formula in Riesz spaces. Several examples are provided to show that the law of total probability, Bayes' theorem and inclusion-exclusion formula in probability theory are special cases of our results.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1502.00124

Citation

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AMA 11th EditionReferences

Hong, Liang. Law of total probability and Bayes' theorem in Riesz spaces. Australian National University. September 07, 2023. Accessed November 01, 2024. https://online.provdatabase.com/cite/24324

APA 7th EditionReferences

Hong, Liang. (2023). Law of total probability and Bayes' theorem in Riesz spaces. Australian National University. https://online.provdatabase.com/cite/24324

Chicago 17th EditionReferences

Hong, Liang. Law of total probability and Bayes' theorem in Riesz spaces. Australian National University. 2023. https://online.provdatabase.com/cite/24324

HarvardReferences

Hong, Liang. (2023). Law of total probability and Bayes' theorem in Riesz spaces. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/24324. (Accessed 01 November 2024).

Harvard AustraliaReferences

Hong, Liang, 2023, Law of total probability and Bayes' theorem in Riesz spaces, Australian National University, viewed 01 November 2024, <https://online.provdatabase.com/cite/24324>

MLA 9th EditionWorks Cited

Hong, Liang. Law of total probability and Bayes' theorem in Riesz spaces. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/24324.

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