sample maximum and minimum造句

However, the sample maximum and minimum are not always outliers because they may not be unusually far from other observations.
However, the sample maximum and minimum need not be outliers, if they are not unusually far from other observations.
The reason the sample extrema are sufficient statistics is that the conditional distribution of the non-extreme samples is just the distribution for the uniform interval between the sample maximum and minimum once the endpoints are fixed, the values of the interior points add no additional information.
The sample extrema can be used for a simple normality test, specifically of kurtosis : one computes the t-statistic of the sample maximum and minimum ( subtracts sample mean and divides by the sample standard deviation ), and if they are unusually large for the sample size ( as per the three sigma rule and table therein, or more precisely a Student's t-distribution ), then the kurtosis of the sample distribution deviates significantly from that of the normal distribution.
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