Unbiased Estimation of Population Mean Using Lahiri-Midzuno-Sen Type Sampling Scheme
Chandni Kumari *
Department of Statistics, Babasaheb Bhimrao Ambedkar, University (A Central University), Lucknow-226025, India.
Ratan Kumar Thakur
Department of Statistics, Babasaheb Bhimrao Ambedkar, University (A Central University), Lucknow-226025, India.
*Author to whom correspondence should be addressed.
Abstract
This paper considers the problem of estimating the population mean under double sampling. We have suggested the generalized class of estimators under Lahiri (1951) to Midzuno (1952) and Sen (1952) type sampling scheme and its properties are studied up to the first order of approximation. Further, we compare the proposed sampling strategy with some conventional estimators under the simple random sampling without replacement. On the basis of suitable range information, we give some concluding remarks related to propose sampling strategy. An empirical study is given in support of the present study.
Keywords: Simple random sampling, ratio type estimator, Lahiri-Midzuno-Sen type sampling scheme