The sample entropy, the estimate of the entropy per observation, has been introduced by Vasicek (1976) (A test for normality based on sample entropy, J. Royal Statist. Soc. B 38, 730-737). In this paper, we provide the sample entropy of order statistics, and present one application of the sample entropy of order statistics as a test of normality versus skewness. The proposed test statistic has comparable performance with other existing tests.
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty