Two Identities Involving Order Statistics
涉及次序统计量的两个恒等式
Two identities involving the distribution functions of order statistics are given, and are applied in proving some combinatorial results.
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Two identities involving order statistics
涉及次序统计量的两个恒等式
Two identities involving the distribution functions of order statistics are given, and are applied in proving some combinatorial results.
Some Slippage Tests of Mean for a Single Outlier in Linear Regression
Bounds and Approximations for the Moments of Order Statistics
次序统计量矩的界与近似
In this paper methods for obtaining approximations and bounds for the moments of order statistics from a continuous parent distribution are discussed. These bounds and approximations depend on the distribution function only through certain moments of order statistics in small samples. It is shown that for the Cauchy distribution bounds and approximations of all finite moments can be obtained. Some numerical calculations for normal and Cauchy distributions are also given.
Bounds and Approximations for the Moments of Order Statistics
次序统计量矩的界与近似
In this paper methods for obtaining approximations and bounds for the moments of order statistics from a continuous parent distribution are discussed. These bounds and approximations depend on the distribution function only through certain moments of order statistics in small samples. It is shown that for the Cauchy distribution bounds and approximations of all finite moments can be obtained. Some numerical calculations for normal and Cauchy distributions are also given.