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Searching effective rotation patterns for population median using exponential type estimators in two-occasion rotation sampling
Authors:Kumari Priyanka  Richa Mittal
Institution:1. Department of Mathematics, Shivaji College, University of Delhi, New Delhi, Indiapriyanka.ism@gmail.com;3. Department of Mathematics, Shivaji College, University of Delhi, New Delhi, India
Abstract:ABSTRACT

The present article is an attempt to explore the rotation patterns using exponential ratio type estimators for the estimation of finite population median at current occasion in two occasion rotation sampling. Properties of the proposed estimators including the optimum replacement strategies have been elaborated. The proposed estimators have been compared with sample median estimator when there is no matching from previous occasion as well with the ratio type estimator proposed by Singh et al. (2007 Singh, H.P., Tailor, R., Singh, S., Kim, Jong-Min. (2007). Quintile estimation in successive sampling. J. Kor. Stat. Soc. 36(4):543556. Google Scholar]) for second quantile. The behaviors of the proposed estimators are justified by empirical interpretations and validated by means of simulation study with the help of some natural populations.
Keywords:Auxiliary information  Bias  Exponential type  Mean square error  Optimum replacement strategy  Population median  Skewed distribution  Successive sampling
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