A study on the chain ratio-ratio-type exponential estimator for finite population variance

作者：Singh Housila P; Pal Surya K^*; Yadav Anita

来源：Communications in Statistics - Theory and Methods, 2018, 47(6): 1442-1458.

DOI：10.1080/03610926.2017.1321124

• Auxiliary variable
• study variable
• finite population variance
• bias
• mean squared error
• efficiency

This paper considers the problem of estimating the population variance S-y(2) of the study variable y using the auxiliary information in sample surveys. We have suggested the (i) chain ratio-type estimator (on the lines of Kadilar and Cingi (2003)), (ii) chain ratio-ratio-type exponential estimator and their generalized version [on the lines of Singh and Pal (2015)] and studied their properties under large sample approximation. Conditions are obtained under which the proposed estimators are more efficient than usual unbiased estimator s(y)(2) and Isaki (1893) ratio estimator. Improved version of the suggested class of estimators is also given along with its properties. An empirical study is carried out in support of the present study.

• 出版日期2018