- Tytuł:
- Estimation of Domain Means on The Basis of Strategy Dependent on Depth Function of Auxiliary Variables’ Distribution
- Autorzy:
- Wywiał, Janusz L.
- Powiązania:
- https://bibliotekanauki.pl/articles/465849.pdf
- Data publikacji:
- 2011
- Wydawca:
- Główny Urząd Statystyczny
- Tematy:
-
sampling design
order statistic
auxiliary variable
sampling scheme
Horvitz-Thompson estimator
small area estimation
area sampling
depth function - Opis:
- The paper deals with the problem of estimation of a domain means in a finite and fixed population. We assume that observations of a multidimensional auxiliary variable are known in the population. The proposed estimation strategy consists of the well known Horvitz-Thompson estimator and the non-simple sampling design dependent on a synthetic auxiliary variable whose observations are equal to the values of a depth function of the auxiliary variable distribution. The well known spherical and Mahalanobis depth functions are considered. A sampling design is proportionate to the maximal order statistic determined on the basis of the synthetic auxiliary variable observations in a simple sample drawn without replacement. A computer simulation analysis leads to the conclusion that the proposed estimation strategy is more accurate for domain means than the well known simple sample means.
- Źródło:
-
Statistics in Transition new series; 2011, 12, 1; 127-138
1234-7655 - Pojawia się w:
- Statistics in Transition new series
- Dostawca treści:
- Biblioteka Nauki
Artykuł