Yıl 2018, Cilt 47, Sayı 3, Sayfalar 709 - 720 2018-06-01
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## Estimation of inequality indices based on ranked set sampling

#### N. Nakhaei Rad [1] , G. R. Mohtashami Borzadaran [2] , H. Yari [3]

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Measuring the income inequality is a major concern of the economists. Therefore, numerous indices have been devised to show different features of the income inequality. In general, the simple random sampling procedure is commonly utilized to estimate the inequality measures, while the ranked set sampling is a more cost saving method which increases the precision and the efficiency of the inequality estimators. In this paper the advantages of the ranked set sampling when measuring the amount of the income inequality are examined. Through using Monte Carlo simulation technique, this paper proves that the ranked set sampling, increases the precision of inequality indices estimations. In the end, a real income data set is analyzed to illustrate the obtained results.

Ranked set sampling, Gini index, Theil index, MLD index, Atkinson index, Monte Carlo simulation, Generalized beta distribution of the first kind, Generalized beta distribution of the second kind, Generalized gamma distribution
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Birincil Dil en Matematik İstatistik Yazar: N. Nakhaei Rad (Sorumlu Yazar) Yazar: G. R. Mohtashami Borzadaran Yazar: H. Yari
 Bibtex @araştırma makalesi { hujms440366, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {Hacettepe Üniversitesi}, year = {2018}, volume = {47}, pages = {709 - 720}, doi = {}, title = {Estimation of inequality indices based on ranked set sampling}, key = {cite}, author = {Rad, N. Nakhaei and Mohtashami Borzadaran, G. R. and Yari, H.} } APA Rad, N , Mohtashami Borzadaran, G , Yari, H . (2018). Estimation of inequality indices based on ranked set sampling. Hacettepe Journal of Mathematics and Statistics, 47 (3), 709-720. Retrieved from http://dergipark.gov.tr/hujms/issue/38121/440366 MLA Rad, N , Mohtashami Borzadaran, G , Yari, H . "Estimation of inequality indices based on ranked set sampling". Hacettepe Journal of Mathematics and Statistics 47 (2018): 709-720 Chicago Rad, N , Mohtashami Borzadaran, G , Yari, H . "Estimation of inequality indices based on ranked set sampling". Hacettepe Journal of Mathematics and Statistics 47 (2018): 709-720 RIS TY - JOUR T1 - Estimation of inequality indices based on ranked set sampling AU - N. Nakhaei Rad , G. R. Mohtashami Borzadaran , H. Yari Y1 - 2018 PY - 2018 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 709 EP - 720 VL - 47 IS - 3 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2016 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Estimation of inequality indices based on ranked set sampling %A N. Nakhaei Rad , G. R. Mohtashami Borzadaran , H. Yari %T Estimation of inequality indices based on ranked set sampling %D 2018 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 47 %N 3 %R %U ISNAD Rad, N. Nakhaei , Mohtashami Borzadaran, G. R. , Yari, H. . "Estimation of inequality indices based on ranked set sampling". Hacettepe Journal of Mathematics and Statistics 47 / 3 (Haziran 2018): 709-720.