Modified Ratio Estimators using Linear Combination of Co-efficient of Skewness and Median of Auxiliary Variable under Rank Set Sampling and Simple Random Sampling

M  Iqbal Jeelani; S  A  Mir; Nageena Nazir and Fehim Jeelani

doi:10.17485/ijst/2014/v7i5.24

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Modified Ratio Estimators using Linear Combination of Co-efficient of Skewness and Median of Auxiliary Variable under Rank Set Sampling and Simple Random Sampling

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2014/v7i5.24

Year: 2014, Volume: 7, Issue: 5, Pages: 723–728

Original Article

Modified Ratio Estimators using Linear Combination of Co-efficient of Skewness and Median of Auxiliary Variable under Rank Set Sampling and Simple Random Sampling

M. Iqbal Jeelani^* , S. A. Mir, Nageena Nazir and Fehim Jeelani

Division of Agricultural Statistics, SKUAST-K, India; jeelani.miqbal@gmail.com

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

In this article we have proposed some ratio estimator for the study variable based on the linear combination of known values of Co-efficient of Skewness and Median of the auxiliary variable utilizing Rank set sampling and Simple random sampling are proposed. Mean squared error up to the first degree of approximation are derived. The proposed ratio estimators under rank set sampling perform better than the proposed ratio estimators under simple random sampling. The simulated study has been carried out in support of the results.

Keywords: Rank set sampling, Ratio type estimator, Simple random sampling, Mean square error, Co-efficient of Skewness, Median