A skew logistic distribution as an alternative to the model of van Staden and King

作者：Balakrishnan N^*; Dai Qingzhou; Liu Kai

来源：Communications in Statistics - Simulation and Computation, 2017, 46(5): 4082-4097.

DOI：10.1080/03610918.2015.1096383

• Best linear unbiased estimator
• Covariance
• Half logistic distribution
• Logistic distribution
• Mean
• Order statistics
• Product moments
• Skew logistic distribution
• Single moments
• Variance
• Primary 62E15
• Secondary 62F10
• 62G30

The logistic distribution is a simple distribution possessing many useful properties and has been used extensively for analyzing growth. Recently, van Staden and King proposed a quantile-based skew logistic distribution. In this paper, we introduce an alternative skew logistic distribution. We then establish recurrence relations for the computation of the single and product moments of order statistics from the standard skew logistic distribution by using the moments of order statistics from the standard half logistic distribution. These enable an efficient computation of means, variances and covariances of order statistics from the skew logistic distibution for all sample sizes. The results become useful in determining the best linear unbiased estimators of the location and scale paramters of the skew logistic distribution. Finally, we provide an example to illustrate the usefulness of the developed model and then compare its fit with that provided by the model of van Staden and King.

• 出版日期2017