OPTIMAL BOUNDS ON L-STATISTICS BASED ON SAMPLES DRAWN WITH REPLACEMENT FROM FINITE POPULATIONS

TOMASZ RYCHLIK

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OPTIMAL BOUNDS ON L-STATISTICS BASED ON SAMPLES DRAWN WITH REPLACEMENT FROM FINITE POPULATIONS

机译：基于替换了有限人口的样本得出的L统计量的最优界限

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We describe a method of establishing optimal bounds on the expectations of arbitrary linear combinations of order statistics based on iid samples drawn with replacement from finite populations of a fixed size. The bounds are expressed in terms of the population size, mean, central absolute moments, and coefficients of the combination. The bounds are precisely determined for the trimmed means and their differences, and single order statistics and their differences in particular. We also show that with increase in population size, our bounds approach the respective universal ones for arbitrary iid samples.

机译：我们描述了一种方法，该方法基于从固定大小的有限总体中替换而来的iid样本，基于订单统计信息的任意线性组合的期望值建立最佳界限。边界以总体大小，均值，中心绝对矩和组合系数表示。精确地确定了修整后的均值及其差异，尤其是单阶统计量及其差异的界限。我们还表明，随着人口规模的增加，我们的界限接近任意iid样本的通用界限。

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来源
《Statistics》 |2004年第5期|p.391-412|共22页
作者
TOMASZ RYCHLIK;
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作者单位

Institute of Mathematics, Polish Academy of Sciences, Chopina 12, 87-100 Torun, Poland;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
order statistics; L-statistics; with replacement drawing scheme; expectation bounds;

机译：订单统计;L统计;具有替换绘图方案;期望范围;

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5. The development of a nonparametric horizontal distance test of whether two independent samples of equal size have been drawn from the same population. [D] . Shaw, Antoinette Rose. 1994

机译：是否从同一个总体中抽取了两个大小相等的独立样本的非参数水平距离测试。
6. Quantile Lower Bounds to Population Reliability Based on Locally Optimal Splits [O] . Tyler D. Hunt, Peter M. Bentler -1

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7. On the Number of Distinct Elements in a Random Sample Drawn with Replacement from a Finite Population [O] . Robson D. S., Rothschild B. J., Cornell University. Biometrics Unit., 1967

机译：关于从有限总体中替换的随机样本中不同元素的数量

OPTIMAL BOUNDS ON L-STATISTICS BASED ON SAMPLES DRAWN WITH REPLACEMENT FROM FINITE POPULATIONS

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