Truncated skew-normal distributions: Moments, estimation by weighted moments and application to climatic data
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作者:
Flecher C.
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Biostatistics and Spatial Processes, INRA
Laboratoire des Sciences du Climat et de l'Environnement, CNRS, Gif-sur-YvetteBiostatistics and Spatial Processes, INRA
Flecher C.
[1
,2
]
Allard D.
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Biostatistics and Spatial Processes, INRABiostatistics and Spatial Processes, INRA
Allard D.
[1
]
Naveau P.
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Laboratoire des Sciences du Climat et de l'Environnement, CNRS, Gif-sur-YvetteBiostatistics and Spatial Processes, INRA
Naveau P.
[2
]
机构:
[1] Biostatistics and Spatial Processes, INRA
[2] Laboratoire des Sciences du Climat et de l'Environnement, CNRS, Gif-sur-Yvette
In this paper we derive an expression of the mth 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.