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

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Date
2021-01-19
Direction de publication
Direction de recherche
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Éditeur
North-Holland
Projets de recherche
Structures organisationnelles
Numéro de revue
Résumé
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.
Description
Revue
Statistics and probability letters (2021)
DOI
10.1016/j.spl.2021.109047
URL vers la version publiée
Mots-clés
Conditional poisson sampling , Entropy , Null model analysis , Occupancy data , Weak law of large number
Citation
Type de document
article de recherche