Order Statistics (2)

In statistics, the kth order statistic of a statistical sample is equal to its kth-smallest value. Together with rank statistics, order statistics are among the most fundamental tools in non-parametric statistics and inference.

Important special cases of the order statistics are the minimum and maximum value of a sample, and (with some qualifications discussed below) the sample median and other sample quantiles.

When using probability theory to analyze order statistics of random samples from a continuous distribution, the cumulative distribution function is used to reduce the analysis to the case of order statistics of the uniform distribution.

但係妳呢條太難, 我唔識答....

If the mean is independent of n, since when n = 1, the range is actually deterministic to be 0, the mean of the range has to be zero.

2008-04-02 10:05:47 補充：
But range is defined as the absolute difference between the largest and the smallest sample, it has 0 probability to be smaller than 0, the mean is highly unlikely to be 0.

計到了﹐順便計到53﹐可惜要遲些才post到

2008-04-02 16:49:20 補充：
我估要找叮噹出馬