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Moment expressions and summary statistics for the complete and truncated weibull distribution
Authors:Robert P McEwen  Bernard R Parresol
Institution:Authors are Mathematical Statisticians with the Institute for Quantitative Studies , Southern Forest Experiment Station , New Orleans, LA, 70113USDA Forest Service, 701 Loyola Ave
Abstract:Traditionally, the moments of the Weibull distribution have been calculated using the standard Weibull (Johnson and Kotz, 1970) . This article will expand on that idea and cover the truncated cases for the standard Weibull distributions. Also, the same techniques used for the standard form will be used to derive the moment expressions for the three-parameter complete and truncated Weibull distributions. The summary statistics are then calculated from the moment expressions. Weibull moments involve the gamma and incomplete gamma functions.
Keywords:Moments  gamma function  incomplete gamma function
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