A new class of unbiased linear estimators in systematic sampling

Koçyiğit E. G., Çıngı H.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.46, sa.2, ss.315-323, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.15672/hjms.2017.413
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.315-323
  • Anahtar Kelimeler: Systematic sampling, Ratio estimator, Product estimator, Unbiased, Efficiency
  • Dokuz Eylül Üniversitesi Adresli: Hayır

Özet

Use of auxiliary variables is very common in estimating various population parameters. In this study, we suggest a class of unbiased linear estimators for estimating the population mean of the study variate y using information on the auxiliary variate x in systematic sampling. The variance expressions of the suggested estimators are compared with usual unbiased estimator, Swain's (1964) ratio estimator and Shukla's (1971) product type estimator. It is demonstrated that the proposed estimators are more efficient than others.