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- Continuous_mapping_theorem abstract "In probability theory, the continuous mapping theorem states that continuous functions are limit-preserving even if their arguments are sequences of random variables. A continuous function, in Heine’s definition, is such a function that maps convergent sequences into convergent sequences: if xn → x then g(xn) → g(x). The continuous mapping theorem states that this will also be true if we replace the deterministic sequence {xn} with a sequence of random variables {Xn}, and replace the standard notion of convergence of real numbers “→” with one of the types of convergence of random variables.This theorem was first proved by (Mann & Wald 1943), and it is therefore sometimes called the Mann–Wald theorem.".
- Continuous_mapping_theorem wikiPageID "20813286".
- Continuous_mapping_theorem wikiPageLength "8438".
- Continuous_mapping_theorem wikiPageOutDegree "15".
- Continuous_mapping_theorem wikiPageRevisionID "625469707".
- Continuous_mapping_theorem wikiPageWikiLink Category:Articles_containing_proofs.
- Continuous_mapping_theorem wikiPageWikiLink Category:Probability_theorems.
- Continuous_mapping_theorem wikiPageWikiLink Category:Statistical_theorems.
- Continuous_mapping_theorem wikiPageWikiLink Classification_of_discontinuities.
- Continuous_mapping_theorem wikiPageWikiLink Closure_(topology).
- Continuous_mapping_theorem wikiPageWikiLink Continuous_function.
- Continuous_mapping_theorem wikiPageWikiLink Convergence_of_measures.
- Continuous_mapping_theorem wikiPageWikiLink Convergence_of_random_variables.
- Continuous_mapping_theorem wikiPageWikiLink Discontinuity_(mathematics).
- Continuous_mapping_theorem wikiPageWikiLink Limit_superior_and_limit_inferior.
- Continuous_mapping_theorem wikiPageWikiLink Limsup.
- Continuous_mapping_theorem wikiPageWikiLink Metric_space.
- Continuous_mapping_theorem wikiPageWikiLink Portmanteau_theorem.
- Continuous_mapping_theorem wikiPageWikiLink Probability_theory.
- Continuous_mapping_theorem wikiPageWikiLink Random_element.
- Continuous_mapping_theorem wikiPageWikiLink Slutskys_theorem.
- Continuous_mapping_theorem wikiPageWikiLink Slutsky’s_theorem.
- Continuous_mapping_theorem wikiPageWikiLinkText "Continuous mapping theorem".
- Continuous_mapping_theorem wikiPageWikiLinkText "continuous mapping theorem".
- Continuous_mapping_theorem hasPhotoCollection Continuous_mapping_theorem.
- Continuous_mapping_theorem wikiPageUsesTemplate Template:Cite_book.
- Continuous_mapping_theorem wikiPageUsesTemplate Template:Cite_journal.
- Continuous_mapping_theorem wikiPageUsesTemplate Template:Harv.
- Continuous_mapping_theorem wikiPageUsesTemplate Template:Refbegin.
- Continuous_mapping_theorem wikiPageUsesTemplate Template:Refend.
- Continuous_mapping_theorem wikiPageUsesTemplate Template:Reflist.
- Continuous_mapping_theorem subject Category:Articles_containing_proofs.
- Continuous_mapping_theorem subject Category:Probability_theorems.
- Continuous_mapping_theorem subject Category:Statistical_theorems.
- Continuous_mapping_theorem hypernym Sequences.
- Continuous_mapping_theorem type Protein.
- Continuous_mapping_theorem type Proof.
- Continuous_mapping_theorem type Theorem.
- Continuous_mapping_theorem comment "In probability theory, the continuous mapping theorem states that continuous functions are limit-preserving even if their arguments are sequences of random variables. A continuous function, in Heine’s definition, is such a function that maps convergent sequences into convergent sequences: if xn → x then g(xn) → g(x).".
- Continuous_mapping_theorem label "Continuous mapping theorem".
- Continuous_mapping_theorem sameAs Teorema_de_Mann-Wald.
- Continuous_mapping_theorem sameAs m.07sb8lj.
- Continuous_mapping_theorem sameAs Q5165492.
- Continuous_mapping_theorem sameAs Q5165492.
- Continuous_mapping_theorem wasDerivedFrom Continuous_mapping_theorem?oldid=625469707.
- Continuous_mapping_theorem isPrimaryTopicOf Continuous_mapping_theorem.