On estimating the distribution function and odds using ranked set sampling

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• 作者：A. Eftekharian ; M. Razmkhah ; ^{razmkhah_m@um.ac.ir}
• 关键词：Bounded kernel function ; Efficiency ; Empirical estimator ; Imperfect rankings ; Mean integrated squared error ; Order statistics
• 刊名：Statistics & Probability Letters
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：122
• 期：Complete
• 页码：1-10
• 全文大小：431 K
• 卷排序：122

文摘

The kernel estimators of the cumulative distribution function and population odds are proposed based on ranked set sampling scheme. It is shown that the kernel estimators are more efficient than the empirical ones in view of the mean squared error criterion. It is also concluded that ranked set sampling has better performance than simple random sampling, even when the rankings are not perfect.