Limiting properties of an equiprobable sampling scheme for 0–1 matrices

Rivest, Louis-Paul

Publication :
Limiting properties of an equiprobable sampling scheme for 0–1 matrices

ali.license-ref	https://creativecommons.org/licenses/by-nc-nd/4.0	fr
ali.license-ref.start-date	2021-01-05	fr
bul.description.provenance	embre chlac	fr
bul.rights.dateAccepPubl	2021-01-19	fr
bul.rights.periodeEmbargo	P2Y	fr
bul.rights.typeDate	datePublication	fr
dc.contributor.author	Rivest, Louis-Paul
dc.date.accessioned	2021-02-02T21:06:10Z
dc.date.available	2023-01-19T00:00:00Z
dc.date.issued	2021-01-19
dc.description.abstract	A sampling scheme that selects a random 0-1 matrix of size uniformly in the set of 0-1 matrices with predetermined row and column totals is investigated. The limits, as goes to and is fixed, of the column relative frequencies is derived. The limiting values give a sampling design for a population of units that generalizes the conditional Poisson sampling design introduced by Hajek. A method to calculate the joint selection probabilities for this new design using the known single inclusion probabilities is presented. Numerical examples show that the limiting theorem provides good approximations to the fixed column probabilities of a random matrix.	fr
dc.identifier.doi	10.1016/j.spl.2021.109047	fr
dc.identifier.issn	0167-7152	fr
dc.identifier.uri	http://hdl.handle.net/20.500.11794/67923
dc.language	eng	fr
dc.publisher	North-Holland	fr
dc.rights	http://purl.org/coar/access_right/c_abf2
dc.subject	Conditional poisson sampling	fr
dc.subject	Entropy	fr
dc.subject	Null model analysis	fr
dc.subject	Occupancy data	fr
dc.subject	Weak law of large number	fr
dc.subject.rvm	Régression de Poisson	fr
dc.subject.rvm	Méthode d'entropie maximale	fr
dc.subject.rvm	Loi des grands nombres	fr
dc.title	Limiting properties of an equiprobable sampling scheme for 0–1 matrices	fr
dc.type	article de recherche
dc.type.legacy	COAR1_1::Texte::Périodique::Revue::Contribution à un journal::Article::Article de recherche	fr
dcterms.bibliographicCitation	Statistics and probability letters (2021)	fr
dspace.accessstatus.time	2023-03-19 18:01:12
dspace.entity.type	Publication
relation.isAuthorOfPublication	ae194257-3a07-4a0a-b82c-0e98c34f0e3f
relation.isAuthorOfPublication.latestForDiscovery	ae194257-3a07-4a0a-b82c-0e98c34f0e3f
relation.isResourceTypeOfPublication	4c433ef5-3937-4530-8252-cca17d715747
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rioxxterms.project.funder-name	Natural Sciences and Engineering Research Council of Canada	fr
rioxxterms.project.funder-name	Sentinelle Nord, Université Laval	fr
rioxxterms.version	AM	fr
rioxxterms.version-of-record	https://doi.org/10.1016/j.spl.2021.109047	fr