Multi-Domain Neyman-Tchuprov Optimal Allocation

• Autorzy: Jacek Wesołowski
• Języki publikacji: EN

Abstrakty

EN

The eigenproblem solution of the multi-domain efficient allocation is identified as a direct generalization of the classical Neyman-Tchuprov optimal allocation in stratified SRSWOR. This is achieved through analysis of eigenvalues and eigenvectors of a suitable population-based matrix D. Such a solution is an analytical companion to NLP approaches, which are often used in applications, see, e.g. Choudhry, Rao and Hidiroglou (2012). In this paper we are interested rather in the structure of the optimal allocation vector and relative variance than in such purely numerical tools (although the eigenproblem solution provides also numerical solutions, see, e.g. Wesołowski and Wieczorkowski (2017)). The domain-wise optimal allocation and the respective optimal variance of the estimator are determined by the unique direction (defined in terms of the positive eigenvector of matrix D) in the space I , where I is the number of domains in the population. (original abstract)

Słowa kluczowe

EN

Optimization theory; Multiple criteria optimization

PL

Teoria optymalizacji; Optymalizacja wielokryterialna

• Czasopismo: Statistics in Transition
• Rocznik: 2019
• Tom: 20
• Numer: nr 4
• Strony: 1--12

Twórcy

autor

Jacek Wesołowski

• Statistics Poland and Warsaw University of Technology

Bibliografia

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Identyfikatory

DOI

10.21307/stattrans-2019-031