A Review of Chain-Type Estimators and a New Chain-Type Multivariate Regression Approach for Population Mean Under Two-Occasion Successive Sampling

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• 作者：Housila P. Singh ; Surya K. Pal
• 关键词：Successive sampling ; Study variate ; Auxiliary variate ; Variance ; Optimum replacement policy
• 刊名：Proceedings of the National Academy of Sciences, India Section A: Physical Sciences
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：87
• 期：1
• 页码：31-56
• 全文大小：
• 刊物主题：Physics, general; Applied and Technical Physics; Atomic, Molecular, Optical and Plasma Physics; Quantum Physics;
• 出版者：Springer India
• ISSN：2250-1762
• 卷排序：87

文摘

This paper presents the problem of estimating the population mean on current occasion in two-occasions successive sampling using multiauxiliary variate at both the occasions. We have presented the comprehensive review of the work based on chain-type estimators using single and multiauxiliary variate(s) at both the occasions. A new chain-type multivariate regression estimator for estimating the population mean on current occasion in two-occasion successive sampling is also suggested. Optimum replacement policy relevant to the proposed estimation procedure has been discussed. It has been shown empirically that the proposed multivariate regression estimator is more efficient than the simple mean estimator when there is no matching, the optimal successive sampling estimator when no additional auxiliary information is used and other estimator based on multiauxiliary variates.