In this paper the problem of estimating finite population variance under measurement errors is discussed. Some estimators based on arithmetic mean, geometric mean and harmonic mean under measurement errors are proposed. Biases and mean square errors of proposed estimators are calculated to the first order of approximation. A comparative study is made among the usual unbiased estimator, usual ratio estimator and Kadilar and Cingi(2006a) estimator. Hypothetical study is also given at the end of the paper to support the theoretical findings.
Digital Object Identifier (DOI)
Misra, Sheela; Kumari, Dipika; and Kumar Yadav, Dharmendra
"Some Improved Estimators for Estimating Population Variance in the Presence of Measurement Errors,"
Journal of Statistics Applications & Probability: Vol. 5
, Article 12.
Available at: https://dc.naturalspublishing.com/jsap/vol5/iss2/12