Homogeneity test for functional data

ABSTRACT

In the context of functional data analysis, we propose new sample tests for homogeneity. Based on some well-known depth measures, we construct four different statistics in order to measure distance between the two samples. A simulation study is performed to check the efficiency of the tests when confronted with shape and magnitude perturbation. Finally, we apply these tools to measure the homogeneity in some samples of real data, and we obtain good results using this new method.

KEYWORDS:

• Functional depth
• distance
• homogeneity
• FDA

CLASSIFICATION CODES:

• 62H15
• 62P10

Disclosure statement

No potential conflict of interest was reported by the authors.