Geodesic
Fixed precision optimal allocation in two-stage sampling
Wojciech Niemiro 1   ; Jacek Weso/lowski 2
1 Institute of Applied Mathematics and Mechanics Warsaw University Banacha 2 02-097 Warszawa, Poland and Central Statistical Office Al. Niepodleg/lo/sci 208 00-925 Warszawa, Poland
2 Faculty of Mathematics and Information Science Warsaw University of Technology Pl. Politechniki 1 00-661 Warszawa, Poland and Central Statistical Office Al. Niepodleg/lo/sci 208 00-925 Warszawa, Poland
Applicationes Mathematicae, Tome 28 (2001) no. 1, pp. 73-82 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Two-stage sampling schemes arise in survey sampling, especially in situations when the complete update of the frame is difficult. In this paper we solve the problem of fixed precision optimal allocation in two special two-stage sampling schemes. The solution is based on reducing the original question to an eigenvalue problem and then using the Perron–Frobenius theorem.
DOI : 10.4064/am28-1-5
Keywords: two stage sampling schemes arise survey sampling especially situations complete update frame difficult paper solve problem fixed precision optimal allocation special two stage sampling schemes solution based reducing original question eigenvalue problem using perron frobenius theorem

Wojciech Niemiro  1   ; Jacek Weso/lowski  2

1 Institute of Applied Mathematics and Mechanics Warsaw University Banacha 2 02-097 Warszawa, Poland and Central Statistical Office Al. Niepodleg/lo/sci 208 00-925 Warszawa, Poland
2 Faculty of Mathematics and Information Science Warsaw University of Technology Pl. Politechniki 1 00-661 Warszawa, Poland and Central Statistical Office Al. Niepodleg/lo/sci 208 00-925 Warszawa, Poland 
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Wojciech Niemiro; Jacek Weso/lowski. Fixed precision optimal allocation
in two-stage sampling. Applicationes Mathematicae, Tome 28 (2001) no. 1, pp. 73-82. doi: 10.4064/am28-1-5

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