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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

Review the full bibliography data and make any necessary corrections before using. Always consult your library resources for the exact formatting and punctuation guidelines.

AMA 11th EditionReferences

Hong, Liang. Law of total probability and Bayes' theorem in Riesz spaces. Australian National University. September 07, 2023. Accessed September 20, 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 20 September 2024).

Harvard AustraliaReferences

Hong, Liang, 2023, Law of total probability and Bayes' theorem in Riesz spaces, Australian National University, viewed 20 September 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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