Proposing Novel Modified Ratio Estimators by Adding an Exponential Parameter

ZAMAN T., Dünder E.

LOBACHEVSKII JOURNAL OF MATHEMATICS, cilt.41, sa.3, ss.451-458, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1134/s1995080220030208
  • Dergi Adı: LOBACHEVSKII JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.451-458
  • Anahtar Kelimeler: ratio-type estimators, auxiliary variable, mean square error, efficiency, FAMILY
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

It is a common approach to adopt the statistical measures of the auxiliary variable such as correlation, coefficient of variation etc. for estimating the population mean. In this paper we propose novel estimators by adding an exponential parameter on the auxiliary variable. Theoretically, we obtain the mean square error (MSE) for all proposed estimators and we compare MSE equations of our proposed estimators and classical estimators. As a result of these comparisons, we observe that proposed estimators are always more efficient than classical estimators. These theoretical results are supported with the aid of a numerical and simulation examples.