Exponential ratio-product type estimators in stratified random sampling

In this study, exponential ratio-product type estimator of population mean in stratified random sampling without replacement is proposed. The expressions for bias and Mean Squared Error  (MSE) are derived. Comparisons of the proposed estimator with conventional estimator among others for the entire strata showed that the proposed estimator is more efficient than the competing estimators as it possessed minimum variance and hence minimum coefficient of variations.

Bahl, S. and Tuteja, R.K. (1991). Ratio and product type exponential estimators. Journal of Information and Optimization Sciences, 12(1): 159-164.

Dian, G., Giodan, M. and Perry, P.F. (2011). An improved class of estimators for the population mean. Statistical Methods and Applications, 20: 123-140.

Hansen, M.H., Hurwitz, W.N. and Gurney, M. (1967). Problems and methods of the sample survey of business. Journal of American Statistical Association, 41: 173-189.

Kadilar, H. and Cingi, (2005). A new ratio estimator in stratified random sampling.Communications in Statistics-Theory and Methods, 34: 597-602.

Kadilar, H. and Cingi, (2006). An improvement in estimating the population mean by using the correlation coefficient. Hacettepe Journal of Mathematics and Statistics, 25(1):107-109.

Khoshevisian, M., Singh, R.R., Chauhan, P., Sawan, N. and Smarandache, F. (2007). A general family of estimators for estimating population mean using known value of some population parameter(s). Far East Journal of Theoretical Statistics, 22(2): 181-191.

Kung'u, J. and Odongo, L. (2014). Ratio-Cum-Product estimators using multiple auxiliary attributes in single phase sampling. Open Journal of Statistics, 4: 239-245.

Ozgul, N. and Cingi, H. (2014). A new class of exponential regression cum ratio estimator in two phase sampling. Hacettepe Journal of Mathematics and Statistics, 43(1):131-146.

Rashid, R., Noor ul Amin, M. and Hanif, M. (2015). Exponential estimators for population using transformed auxiliary variables. International Journal of Applied Mathematics and Sciences, 9(4): 2107-2112.

Riaz, N., Noo-ul-Amin, M. and Hanif, M. (2014). Regression-Cum-Exponential ratio type estimators for the population mean. Middle-East Journal of Scientific Research,19(12): 1716-1721.

Saini, M. and Kumar, A. (2015). Exponential type product estimator for finite population mean with information on auxiliary attribute. An International Journal Application and Applied Mathematics (AAM), 10(1): 106-113.

Sanuallah, A., Khan, H., Ali, H.A. and Singh, R. (2012). Improved exponential ratio type estimator in survey sampling. Journal of Reliability and Scientific Research, 5(2):119-132.

Sharma, P., Verma, H.K., Sanaullah, A. and Singh, R. (2013). Some exponential ratio-product type estimators using information on auxiliary attributes under second order approximation. International Journal of Statistics and Economics, 12(3): 59-66.

Singh, H.P. and Karpe, N. (2010). Effective of measurement errors on the separate and combined ratio and product estimators in stratified random sampling. Journal of Modern Applied Statistical Method, 9(2): 388-402.

Singh, H.P. and Pal, S.R. (2015). A new chain ratio-ratio-type exponential estimator using auxiliary information in sample surveys. International Journal of Mathematics and its Application, 3(4-B): 37-46.

Singh, H.P., Tailor, R., Singh, S. and Kim, J.M (2008). A modified estimator of population mean using power of transformation. Statistical, 49: 37-58.

Singh, R. and Kumar, M. (2012). Improved estimators of population mean using two auxiliary variables in stratified random sampling. Pakistan Journal of Statistical Operational Research, 8(1): 65-72.

Singh, R., Kumar, M., Chaudhary, M.K. and Kadilar, C. (2009). Improved exponential estimator in stratified random sampling. Pakistan Journal of Statistical Operational Research, 5(2): 67-82.

Solanki, R.S., Singh, H.P. and Rathour, A. (2012). An alternative estimator for estimating the finite population mean using auxiliary information in sample surveys. ISRN Probability and Statistics, 1-14.

Tailor, R., Jatwa, N.K., Tailor, R. and Garg, N. (2013). Dual to ratio and product type exponential estimators in stratified random sampling using two auxiliary variates. Journal of Reliability and Statistics Studies, 6(2): 11-126.

Tailor, R., Lone, H.A. Pandey, R. and Kumar, M. (2016). Ratio-Cum-Product type estimator of finite population mean in case of post-stratification. Mathematical Sciences Letters, 5(1): 103-106.

Vishwakarma, G.K. and Kumar, M. (2015). A general family of dual to ratio-cum-product estimators of population mean in simple random sampling. Chilean Journal ofStatistics, 6(2):69-79.

Yadav, S.K. and Adewara, A.A. (2013). On improved estimation of population mean using qualitative auxiliary information. International Journal of Mathematical Theory and Modelling, 3(11): 42-50.

Yadav, S.K. and Mishra, S.S. (2015). Developing improved predictive estimator for finite population mean using auxiliary information. Statistika, 95(1): 76-85.