Asymptotic normality of two symmetry test statistics based on the L-1-error

作者：Berrahou Noureddine; Louani Djamal^*

来源：Journal of Statistical Planning and Inference, 2010, 140(7): 1788-1804.

DOI：10.1016/j.jspi.2010.01.006

• Density estimation
• Histogram
• Kernel
• Asymptotic normality
• Symmetry test

In this paper, we propose two new tests to test the symmetry of a distribution. These tests are built up on the asymptotic normality of the L-1-distance to the symmetry of the Kernel and histogram density estimates. A simulation study is carried out to evaluate performances of the kernel based test.

• 出版日期2010-7