Estimation of the Population Standard Deviation Using Auxiliary Information

SYNOPTIC ABSTRACT

This paper proposes a class of estimators for estimating population standard deviation using auxiliary information in sample surveys. The large sample expressions for the bias and variance of the estimators are derived and the minimum variance obtained. An empirical study is carried out to demonstrate the performance of the constructed estimators over usual standard deviation estimator.

Key Words and Phrases:

• population standard deviation
• auxiliary information
• bias
• variance