Recursive Optimal Estimation in Szarkowski Rotation Scheme

Wesołowski, Jacek

Author

Wesołowski Jacek (Główny Urząd Statystyczny; Politechnika Warszawska)

Title

Recursive Optimal Estimation in Szarkowski Rotation Scheme

Source

Statistics in Transition, 2010, vol. 11, nr 2, s. 267-285, bibliogr. s. 285

Keyword

Teoria estymacji, Metody statystyczne, Estymacja
Estimation theory, Statistical methods, Estimation

Note

summ.

Abstract

In late 90ties Szarkowski observed that under the rotation pattern typical for the Labour Force Survey the recursion for the optimal estimator of the mean on a given occasion has to use estimators and observations only from three last occasions. Since the fundamental work of Patterson (1950) it had been known that for rotation patterns with "holes" it is a difficult problem to determine the depth of such recursion formulas. Under special assumptions the problem has been settled only recently in Kowalski and Wesołowski (2010). In the present paper it is shown that these assumptions are always satisfied in the case of the Szarkowski rotation pattern 110011. Moreover, explicit formulas for the coefficients of recursion are derived. (original abstract)

Accessibility

The Main Library of the Cracow University of Economics
The Library of Warsaw School of Economics
The Library of University of Economics in Katowice
The Main Library of Poznań University of Economics and Business
The Main Library of the Wroclaw University of Economics

Full text

Bibliography

CIEPIELA, P. (2004). Estimation of the mean in rotation schemes. MSc Thesis, Warsaw Univ. Techn., Fac. Math. Inform. Sci., Warsaw (in Polish)
KOWALSKI, J. (2009). Optimal estimation in rotation patterns. J. Statist. Plann. Infer. 139(4), 2429-2436.
KOWALSKI, J. (2010). Optimal recurrence estimation of the mean in rotation schemes. PhD Thesis, Warsaw Univ. Techn., Fac. Math. Inform. Sci., Warsaw (in Polish).
KOWALSKI, J. and WESOŁOWSKI, J. (2010). Recurrence optimal estimators for rotation cascade patterns with holes - unpublished manuscript
PATTERSON, H.D. (1955). Sampling on successive occasions. J. Roy. Statist. Soc. B 12, 241-255.
POPIŃSKI, W. (2006). Development of the Polish Labour Force Survey. Statist. Trans. 7(5), 1009-1030.
SZARKOWSKI, A. and WITKOWSKI, J. (1994). The Polish Labour Force Survey. Statist. Trans. 1(4), 467-483.

Cited by

ISSN

1234-7655

Language

eng

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