Searching effective rotation patterns for population median using exponential type estimators in two-occasion rotation sampling

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) 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

MATHEMATICS SUBJECT CLASSIFICATION:

• 62D05

Acknowledgment

Authors are thankful to the honorable referees for their valuable and inspiring suggestions. Authors are also thankful to UGC, New Delhi, India, for providing the financial assistance to carry out the present work. Authors also acknowledge the free access of the data from Statistical Abstracts of the United States that is available on internet.