Geometrical foundations of the sampling design with fixed sample size

Autor:	Pierpaolo Angelini
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	tensor product linear map bilinear map quadratic and linear metric α-product α-norm Mathematics QA1-939 Probabilities. Mathematical statistics QA273-280
Zdroj:	Ratio Mathematica, Vol 38, Iss 0, Pp 261-285 (2020)
Druh dokumentu:	article
ISSN:	1592-7415 2282-8214
DOI:	10.23755/rm.v38i0.511
Popis:	We study the sampling design with fixed sample size from a geometric point of view. The first-order and second-order inclusion probabilities are chosen by the statistician. They are subjective probabilities. It is possible to study them inside of linear spaces provided with a quadratic and linear metric. We define particular random quantities whose logically possible values are all logically possible samples of a given size. In particular, we define random quantities which are complementary to the Horvitz-Thompson estimator. We identify a quadratic and linear metric with regard to two univariate random quantities representing deviations. We use the α-criterion of concordance introduced by Gini in order to identify it. We innovatively apply to probability this statistical criterion.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/77085863f7974c4fb8ac5fb1324a6606 Zobrazit plný text záznamu View record in DOAJ