Matches in SemOpenAlex for { <https://semopenalex.org/work/W4293253540> ?p ?o ?g. }
Showing items 1 to 41 of
41
with 100 items per page.
- W4293253540 abstract "Contingency tables are useful objects in statistics for representing 2-way data. With fixed row and column sums, and a total of $n$ entries, contingency tables correspond to parabolic double cosets of $S_n$. The uniform distribution on $S_n$ induces the Fisher-Yates distribution, classical for its use in the chi-squared test for independence. A Markov chain on $S_n$ can then induce a random process on the space of contingency tables through the double cosets correspondence. The random transpositions Markov chain on $S_n$ induces a natural `swap' Markov chain on the space of contingency tables; the stationary distribution of the Markov chain is the Fisher-Yates distribution. This paper describes this Markov chain and shows that the eigenfunctions are orthogonal polynomials of the Fisher-Yates distribution. Results for the mixing time are discussed, as well as connections with sampling from the uniform distribution on contingency tables, and data analysis." @default.
- W4293253540 created "2022-08-27" @default.
- W4293253540 creator A5033007637 @default.
- W4293253540 date "2022-08-22" @default.
- W4293253540 modified "2023-09-27" @default.
- W4293253540 title "Random Transpositions on Contingency Tables" @default.
- W4293253540 doi "https://doi.org/10.48550/arxiv.2208.10700" @default.
- W4293253540 hasPublicationYear "2022" @default.
- W4293253540 type Work @default.
- W4293253540 citedByCount "0" @default.
- W4293253540 crossrefType "posted-content" @default.
- W4293253540 hasAuthorship W4293253540A5033007637 @default.
- W4293253540 hasBestOaLocation W42932535401 @default.
- W4293253540 hasConcept C105795698 @default.
- W4293253540 hasConcept C114614502 @default.
- W4293253540 hasConcept C118615104 @default.
- W4293253540 hasConcept C33923547 @default.
- W4293253540 hasConcept C91998498 @default.
- W4293253540 hasConcept C98763669 @default.
- W4293253540 hasConceptScore W4293253540C105795698 @default.
- W4293253540 hasConceptScore W4293253540C114614502 @default.
- W4293253540 hasConceptScore W4293253540C118615104 @default.
- W4293253540 hasConceptScore W4293253540C33923547 @default.
- W4293253540 hasConceptScore W4293253540C91998498 @default.
- W4293253540 hasConceptScore W4293253540C98763669 @default.
- W4293253540 hasLocation W42932535401 @default.
- W4293253540 hasOpenAccess W4293253540 @default.
- W4293253540 hasPrimaryLocation W42932535401 @default.
- W4293253540 hasRelatedWork W106527944 @default.
- W4293253540 hasRelatedWork W1964095647 @default.
- W4293253540 hasRelatedWork W1967295136 @default.
- W4293253540 hasRelatedWork W1978042415 @default.
- W4293253540 hasRelatedWork W2017331178 @default.
- W4293253540 hasRelatedWork W2149397467 @default.
- W4293253540 hasRelatedWork W2976797620 @default.
- W4293253540 hasRelatedWork W3048786992 @default.
- W4293253540 hasRelatedWork W3086542228 @default.
- W4293253540 hasRelatedWork W4255607208 @default.
- W4293253540 isParatext "false" @default.
- W4293253540 isRetracted "false" @default.
- W4293253540 workType "article" @default.