A NEW CLASS OF EXPONENTIAL REGRESSION CUM RATIO ESTIMATOR IN TWO PHASE SAMPLING

ÖZGÜL N., ÇINGI H.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.43, sa.1, ss.131-140, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 1
  • Basım Tarihi: 2014
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.131-140
  • Hacettepe Üniversitesi Adresli: Evet

Özet

In this paper, we propose a new class of exponential regression cum ratio estimator using the auxiliary variable for the estimation of the finite population mean under two phase sampling scheme. The Bias and Mean Square Error (MSE) equations of the proposed estimator are obtained and compared with the MSE equations of some existing estimators in two phase sampling. We find theoretically the proposed estimator is always more efficient than classical ratio and regression estimators, Singh and Vishwakarma [17] ratio type exponential estimator in two phase sampling. In addition, theoric results are supported by a numerical example using original data sets.