A New Estimator based on Auxiliary Information through Quantitative Randomized Response Techniques


Ozgul N. , ÇINGI H.

JOURNAL OF MODERN APPLIED STATISTICAL METHODS, cilt.16, ss.364-387, 2017 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 16 Konu: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.22237/jmasm/1493598060
  • Dergi Adı: JOURNAL OF MODERN APPLIED STATISTICAL METHODS
  • Sayfa Sayıları: ss.364-387

Özet

An exponential-type estimator is developed for the population mean of the sensitive study variable based on various Randomized Response Techniques (RRT) using a non-sensitive auxiliary variable. The mean squared error (MSE) of the proposed estimator is derived for generalized RRT models. The proposed estimator is compared with competitors in a simulation study and an application. The proposed estimator is found to be more efficient using a non-sensitive auxiliary variable.