Published Paper Details:

Estimation of parameters say mean, variance, median and coefficient of variation etc. is necessary under various studies. The bias and mean square error (MSE) of the estimator reflect the appropriateness and usefulness of the estimator. The improvement in the efficiency of the estimator using auxiliary information motivates the researches to suggest new estimators. Logarithmic ratio type estimator is one of the new classes of estimators where improvement has been suggested by only few authors in the literature and hence contribution to such estimators attempted for possible improvement in the efficiency of the estimators. In this study, we introduced an improved logarithmic ratio type estimator for estimating the finite population means using auxiliary information under simple random sampling scheme. The bias and mean square error (MSE) expressions for the proposed estimator have been derived up to the first order of approximation. The theoretical efficiency comparison has been carried out with the existing estimators. Also, the MSE and percentage relative efficiency (PRE), results has been calculated with real data set and artificial data set generated by using R software with bivariate normal distribution by simulation approach. The result shows that the proposed estimator performs well as compared to the other existing estimators of this class, also some new application areas might be explored in respect of such estimators.