Polish Statistical Association

Central Statistical Office of Poland

**Subject:** Economics, Statistics & Probability

**ISSN:** 1234-7655

**eISSN:** 2450-0291

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Rohini Yadav
** ^{*}**
/
Rajesh Tailor

**Keywords : **
Study variable,
auxiliary variable,
stratified random sampling,
dual to ratio estimator,
bias and mean squared error

**Citation Information : **
Statistics in Transition New Series. Volume 21,
Issue 1,
Pages 1-12,
DOI: https://doi.org/10.21307/stattrans-2020-001

**License : **
(CC BY-NC-ND 4.0)

**Received Date : **10-January-2018
/
**Accepted: **17-January-2020
/
**Published Online: ** 18-March-2020

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This paper addresses the problem of an alternative approach to estimating the population mean of the study variable with the help of the auxiliary variable under stratified random sampling. The properties of the suggested estimator have been studied under large sample approximation. It has been demonstrated that the suggested estimator is more efficient than other considered estimators. To judge the merits of the proposed estimator, an empirical study has been carried out to support the present study.

BANDYOPADHYAY, S., (1980). Improved ratio and product estimators, Sankhya: Indian J. Stat., 42, pp. 45–49.

GUPTA, S., SHABBIR J., (2015). Estimation of Finite Population Mean in Stratified Random Sampling with Two Auxiliary Variables under Double Sampling Design, Communications In Statistics – Theory And Methods 44(13), pp. 2798–2808.

KADILAR, C., CINGI, H., (2003). Ratio estimators in stratified random sampling, Biometrical Journal, 45, pp. 218–225.

KADILAR, C., CINGI, H., (2005). A new estimator in stratified random sampling, Commun. Statist. Theor. Meth. 34, pp. 597–602.

KOYUNCU, N., KADILAR, C., (2009). Ratio and product estimators in stratified random sampling, J. Statist. Plann. Infer. 139, pp. 2552–2558.

MISHRA, M., SINGH, B. P., SINGH, R., (2017). Estimation of population mean using two auxiliary variables in stratified random sampling, Journal of Reliability and Statistical Studies 10(1), pp. 59–68.

MURTHY, M. N., (1967). Sampling theory and methods, Calcutta, India: Statistical Publishing Society, p. 228.

SINGH, H. P., TAILOR, R., (2005). Estimation of finite population mean using known correlation coefficient between auxiliary characters, Statistica, 65, pp. 407–418.

SINGH, H. P., TAILOR, R., TAILOR, R., KAKRAN, M., (2004). An improved estimation of population mean using power transformation, Journal Indian Society Agricultural Statistics, 58, pp.223–230.

SINGH, H.P., SINGH. R., ESPEJO, M. R., PINEDA, M. D., (2005). On the efficiency of a dual to ratio-cum-product estimator in sample surveys, Math. Proceed. Royal Irish Academy, 105 A (2), pp. 51–56.

SINGH, H. P., VISHWAKARMA, G. K., (2008). A family of estimators of population mean using auxiliary information in stratified sampling, Commun. Statist. Theor. Meth. 37, pp. 1038–1050.

SINGH, H. P., VISHWAKARMA, G. K., (2010). A general procedure for estimating the population mean in stratified sampling using auxiliary information, Metron, LXVII (1), pp. 47–65.

SISODIA, B. V. S., DWIVEDI, V. K. (1981). A modified ratio estimator using coefficient of variation of auxiliary variable, Journal Indian Society Agricultural Statistics, 33, pp. 13–18.

SRIVENKATARAMANA, T., (1980). A dual of ratio estimator in sample surveys, Biometrika, 67, 1, pp. 199–204.

TAILOR, R., (2009). A modified ratio-cum-product estimator of finite population mean in stratified random sampling, Data Science Journal, 8, pp. 182–189 (on line).

TAILOR R., SHARMA, B. K., (2009). A modified ratio-cum-product estimator of finite population mean using known coefficient of variation and coefficient of kurtosis, Statistics in Transition, 10, pp. 15–24.

TAILOR, R., CHOUHAN, S., TAILOR, R., GARG, N., (2012). A ratio-cum-product estimator of population mean in stratified random sampling using two auxiliary variables, Statistica, LXXII, 3, pp. 287–297.

TAILOR, R., LAKHRE, A., TAILOR, R., GARG, N., (2015). An Improved Ratio-Cum-Product Estimator of Population Mean Using Coefficient of Kurtosis of auxiliary variates in Stratified Random Sampling, Journal of Reliability and Statistical Studies, 8, 2, pp. 59–67.

UPADHYAYA, L. N., SINGH, H. P., (1999). Use of transformed auxiliary variable in estimating the finite population mean, Biometrical Journal, 41, pp. 627–636.

UPADHYAYA, L. N., SINGH, H. P., CHATTERJEE, S., YADAV, R., (2011). A Generalized Family of Transformed Ratio-Product Estimators of Finite Population Mean in Sample Surveys. Model Assisted Statistics and Applications, 6, 2, pp. 137–150.

UPADHYAYA, L. N., SINGH, H. P., CHATTERJEE, S., YADAV, R., (2011). Improved Ratio and Product Exponential type Estimators for Finite Population Mean in Sample Surveys, Journal of Statistical Theory and Practice, 5, 2, pp. 285–302.

YADAV, R., UPADHYAYA, L. N., SINGH, H. P., CHATTERJEE, S., (2012). Almost Unbiased Ratio and Product Type Exponential Estimators, Statistics in Transition, 13, 3, pp. 537–550.

YADAV, R., UPADHYAYA, L. N., SINGH, H. P., CHATTERJEE, S., (2014). Improved Ratio and Product Exponential type Estimators for Finite Population Mean in Stratified Random Sampling, Communications in Statistics: Theory & Methods (Taylor & Francis), 43, 15, pp. 3269–3285.