Assessing when a sample is mostly normal

作者：Alvarez Esteban Pedro C^*; del Barrio Eustasio; Cuesta Albertos Juan A; Matran Carlos

来源：Computational Statistics & Data Analysis, 2010, 54(12): 2914-2925.

DOI：10.1016/j.csda.2009.12.004

• Model assessment
• Asymptotics
• Impartial trimming
• Wasserstein distance
• Similarity

The use of trimming procedures constitutes a natural approach to robustifying statistical methods. This is the case of goodness-of-fit tests based on a distance, which can be modified by choosing trimmed versions of the distributions minimizing that distance. The L-2-Wasserstein distance is used to introduce the trimming methodology for assessing when a data sample can be considered mostly normal. The method can be extended to other location and scale models, introducing a robust approach to model validation, and allows an additional descriptive analysis by determining the subset of the data with the best improved fit to the model. This is a consequence of the use of data-driven trimming methods instead of the more classical symmetric trimming procedures.

• 出版日期2010-12-1