Application of Order Statistics of Auxiliary Variable to Estimation of the Population Mean

Wywiał, Janusz

Author

Wywiał Janusz L. (University of Economics in Katowice, Poland)

Title

Application of Order Statistics of Auxiliary Variable to Estimation of the Population Mean

Source

Statistics in Transition, 2012, vol. 13, nr 2, s. 279-286, tab., bibliogr. 6 poz.

Keyword

Dobór próby badawczej, Estymatory, Rozkład prawdopodobieństwa
Selection of test methods, Estimators, Probability distributions

Note

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.

Abstract

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)

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

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.
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WYWIAŁ, J.L. (2008). Sampling design proportional to order statistic of auxiliary variable. Statistical Papers vol. 49, Nr. 2/April, pp. 277-289.

Cited by

ISSN

1234-7655

Language

eng

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