sigma algebra
sigma-algebra
olemus
hulga \(X\) alamhulkade hulk, milles sisaldub hulk \(X\) ise koos iga alamhulgaga \(A\), täiend \(X\backslash A\) - koos iga loenduva hulga alamhulkadega \(A_1,A_2,A_3,\ldots\) ja ka nende alamhulkade
ühend \(A_1\cup A_2\cup A_3\ldots\)
Wiktionary:
(mathematical analysis) a collection of subsets of a given set, such that the empty set is part of this collection, the collection is closed under complements (with respect to the given set) and the collection is closed under countable unions
ülevaateid
https://math.stackexchange.com/questions/528889/why-do-we-call-it-a-sigma-algebra
https://en.wikipedia.org/wiki/%CE%A3-algebra
https://www.quora.com/What-is-an-intuitive-explanation-of-a-sigma-algebra
https://www.bauer.uh.edu/rsusmel/phd/sR-0.pdf
https://ncatlab.org/nlab/show/sigma-algebra
https://www.math.lsu.edu/~sengupta/7312s02/sigmaalg.pdf
https://stats.stackexchange.com/questions/199280/why-do-we-need-sigma-algebras-to-define-probability-spaces
http://ee.usc.edu/stochastic-nets/docs/probability-axioms-sigma-algebras.pdf