Generalized Exponential Chain Ratio and Chain Product Estimators under Stratified Two-Phase Random Sampling for Non-Response

Sanaullah A., ul Amin M. N., Hanif M., KADILAR C.

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, cilt.55, sa.2, ss.57-79, 2016 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55 Sayı: 2
  • Basım Tarihi: 2016
  • Dergi Adı: INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), zbMATH
  • Sayfa Sayıları: ss.57-79
  • Hacettepe Üniversitesi Adresli: Evet

Özet

In this paper, some general zed exponential chain-ratio and chain-product estimators have been proposed for estimating the finite population mean under the stratified two-phase random sampling method for two different cases under non-response case when information on only secondary auxiliary variable is available. The expressions for the mean square error (MSE) and bias of the suggested class of estimators have been given for two situations of non-response. The suggested class of generalized exponential estimators has been evaluated in theory with the adapted forms of Hansen-Hurwitz, ratio and product estimators to the stratified two-phase sampling method. Two numerical examples have also been given to demonstrate the performances of the estimators.