(2010). Computation of the Moments and Product Moments of Order Statistics for Skewed Continuous Distribution. The Egyptian Statistical Journal, 54(2), 84-107. doi: 10.21608/esju.2010.314305
. "Computation of the Moments and Product Moments of Order Statistics for Skewed Continuous Distribution". The Egyptian Statistical Journal, 54, 2, 2010, 84-107. doi: 10.21608/esju.2010.314305
(2010). 'Computation of the Moments and Product Moments of Order Statistics for Skewed Continuous Distribution', The Egyptian Statistical Journal, 54(2), pp. 84-107. doi: 10.21608/esju.2010.314305
Computation of the Moments and Product Moments of Order Statistics for Skewed Continuous Distribution. The Egyptian Statistical Journal, 2010; 54(2): 84-107. doi: 10.21608/esju.2010.314305
Computation of the Moments and Product Moments of Order Statistics for Skewed Continuous Distribution
this article, we present a new algorithm to compute the moments, product moments, variances and covariances of order statistics in skewed continuous distributions for any sample size. The algorithm is written using the Gauss-Legender quadrature algorithm of GAUSS mathematical and statistical system matrix programming language. The accuracy of the calculations was tested for the Gamma, Weibull, and the extreme value distributions. A nonlinear least squares approximation for the first moments of order statistics for the gamma, Weibull and extreme value distributions is also presented.