- Autor
- Wywiał Janusz L. (University of Economics in Katowice, Poland)
- Tytuł
- Application of Order Statistics of Auxiliary Variable to Estimation of the Population Mean
- Źródło
- Statistics in Transition, 2012, vol. 13, nr 2, s. 279-286, tab., bibliogr. 6 poz.
- Słowa kluczowe
- Dobór próby badawczej, Estymatory, Rozkład prawdopodobieństwa
Selection of test methods, Estimators, Probability distributions - Uwagi
- Materiały z Kongresu Statystyki Polskiej: The 100th Anniversary of the Polish Statistical Association, 2012.
The research was supported by the grant number N N111 434137 from the Ministry of Science and Higher Education.
summ. - Abstrakt
- Estimation of the population average in a finite population by means of sampling strategies dependent on an auxiliary variable highly correlated with a variable under study is considered. The sample is drawn with replacement on the basis of the probability distribution of an order statistic of the auxiliary variable. Observations of the variable under study are the values of the concomitant of the order statistic. The mean of the concomitant values is the estimator of a population mean of the variable under study. The expected value and the variance of the estimator are derived. The limit distributions of the considered estimators were considered. Finally, on the basis of simulation analysis, the accuracy of the estimator is considered. (original abstract)
- Dostępne w
- Biblioteka Główna Uniwersytetu Ekonomicznego w Krakowie
Biblioteka SGH im. Profesora Andrzeja Grodka
Biblioteka Główna Uniwersytetu Ekonomicznego w Katowicach
Biblioteka Główna Uniwersytetu Ekonomicznego w Poznaniu
Biblioteka Główna Uniwersytetu Ekonomicznego we Wrocławiu - Pełny tekst
- Pokaż
- Bibliografia
-
- ARNOLD, B.C., BALAKRISHNAN N., NAGARAJA H.N. (2008). A First Course in Order Statistics. Society for Industrial and Applied Mathematics. Philadelphia.
- BILLINGSLEY, P. (1979). Probability and Measure. John Wiley & Sons, New York-Chichester-Brisbane- Toronto.
- DAVID, H.A., NAGARAJA, H.N. (2003). Order statistics. John Wiley & Sons.
- HANSEN, M.H., HURVITZ, W.N. (1943). On the theory of sampling from finite population. Annals of Mathematical Statistic, 14, 333-362.
- TILLE, Y. (2006). Sampling algorithms. Springer.
- WYWIAŁ, J.L. (2008). Sampling design proportional to order statistic of auxiliary variable. Statistical Papers vol. 49, Nr. 2/April, pp. 277-289.
- Cytowane przez
- ISSN
- 1234-7655
- Język
- eng
