Truncated skew-normal distributions: moments, estimation by weighted moments and application to climatic data
Résumé
In this paper we derive an expression of the m$^{th}$ order moments and some weighted moments of truncated skew-normal distributions. We link these formulas to previous results for truncated distributions and non truncated skew-normal distributions. Methods to estimate skew-normal parameters using weighted moments are proposed and compared to other classical techniques. In a second step we propose to model the distribution of relative humidity with a truncated skew-normal distribution.