IMPROVEMENT IN ESTIMATING THE POPULATION MEAN IN SIMPLE RANDOM SAMPLING USING INFORMATION ON TWO AUXILIARY ATTRIBUTES AND NUMERICAL APPLICATION IN AGRICULTURAL ENGINEERING

ZAMAN T., Toksoy E.

FRESENIUS ENVIRONMENTAL BULLETIN, cilt.28, sa.6, ss.4584-4590, 2019 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 6
  • Basım Tarihi: 2019
  • Dergi Adı: FRESENIUS ENVIRONMENTAL BULLETIN
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.4584-4590
  • Anahtar Kelimeler: Ratio-type estimator, Mean square error, Auxiliary attribute, Simple random sampling, Efficiency, RATIO ESTIMATORS
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

This study proposes a family of estimators for calculating population mean using auxiliary attributes based on an adaption of the estimators presented by Abu-Dayyeh et al. [1]. Theoretically, we obtain the mean square error (MSE) for these two classes of estimators. We considered some special cases of these estimators and compared with MSE values of proposed estimators. As a result of these comparisons, we observed that our proposed estimators give more efficient results than all other estimators in terms of MSE. In addition, we demonstrated how to extend the family of estimators when information on more than two auxiliary attributes are available. We used two numerical applications in agricultural engineering to support these theoretical results. Therefore, the suggested estimator could be applied across a broad spectrum of sampling survey.