Sampling Design Proportional to Positive Function of Order Statistics of Auxiliary Variable

• Autorzy: Janusz Wywiał
• Języki publikacji: EN

Abstrakty

The sampling design proportional to some positive function of an auxiliary variable is considered. Its characteristics are derived on the basis of well known combinatoric definitions and theorems. For instance, it is well known the sampling design proportional to the sample mean, see Lahiri (1951). The sampling design proportional to the value of an order statistics of an auxiliary variable was prepared by Wywiał (2004, 2007). In this paper that sampling design is generalized in the following way. The sampling design proportional to the positive function of order statistics of the auxiliary variable is defined and its basic properties are considered. Its inclusion probabilities are derived. This let to use the Horvitz-Thompson statistic to estimation population mean value of an variable under study. The sampling scheme implementing the sampling design is proposed, too. Particular cases of the proposed sampling design are as follows. The sampling design proportional to the sample second L-statistics of the auxiliary variable. Sampling design proportional to the sample range of the auxiliary variable. It is useful to construction sampling strategy using estimators of the regression coefficients based on order statistics of the auxiliary variable. (original abstract)

Słowa kluczowe

EN

Statistics

PL

Statystyka

• Czasopismo: Studia Ekonomiczne / Akademia Ekonomiczna w Katowicach
• Rocznik: 2009
• Numer: nr 53 Metody wnioskowania statystycznego w badaniach ekonomicznych
• Strony: 35--59

Twórcy

autor

Janusz Wywiał

• The Karol Adamiecki University of Economics in Katowice, Poland

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