AN IMPROVED RATIO-CUM-PRODUCT ESTIMATOR OF POPULATION MEAN USING COEFFICIENT OF KURTOSIS OF THE AUXILIARY VARIATES IN STRATIFIED RANDOM SAMPLING

  • Rajesh Tailor S. S. in Statistics, Vikram University, Ujjain, India
  • Arpita Lakhre S. S. in Statistics, Vikram University, Ujjain, India
  • Ritesh Tailor Policy Research and Marketing Division, Institute of Wood Science and Technology, Bangalore, India
  • Neha Garg School of Sciences, Indira Gandhi National Open University (IGNOU), New Delhi, India
Keywords: Finite Population Mean, Stratified Random Sampling, Auxiliary Variate, Bias, Mean Squared Error

Abstract

In this paper, we have discussed the problem of estimation of population mean in stratified random sampling. An Improved ratio-cum-product estimator of population mean by using information on known coefficient of kurtosis of auxiliary variate has been suggested. The suggested estimator has been compared with usual unbiased estimator, combined ratio and product estimators, Kadilar and Cingi (2003) ratio and product type estimators and Tailor et al. (2012) ratio-cum-product estimator. The conditions under which the suggested estimator is more efficient have been obtained. An empirical study has been carried out to demonstrate the performance of the suggested estimator.

 

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Published
2015-11-17
Section
Articles