On the Distribution of the Sample Median
暂无分享,去创建一个
1. Summary. Upper and lower bounds are obtained for the cumulative distribution function of the sample median of a sample of size 2n + 1 drawn from a continuous population. It is shown that if the parent population is normal, then the distribution of the sample median tends "rapidly" to normality. Other kinds of parent populations are also discussed.
[1] Tokishige Hojo. DISTRIBUTION OF THE MEDIAN, QUARTILES AND INTERQUARTILE DISTANCE IN SAMPLES FROM A NORMAL POPULATION , 1931 .
[2] J. D. Williams. An Approximation to the Probability Integral , 1946 .
[3] J. H. Cadwell. The distribution of quantiles of small samples , 1952 .
[4] George Pólya,et al. Remarks on Computing the Probability Integral in One and Two Dimensions , 1949 .
[5] W. Feller. On the Normal Approximation to the Binomial Distribution , 1945 .