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U-statistics for sequential change detection

✍ Scribed by Edit Gombay

Publisher: Springer
Year: 2000
Tongue: English
Weight: 103 KB
Volume: 52
Category: Article
ISSN: 0026-1335
DOI: 10.1007/pl00003980

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Asymptotic distributions of U-statistics to test for possible changes in the distribution will be derived when the change occurred. We will show that for all possible types of kernels, symmetric, antisymmetric, degenerate, non-degenerate, the test statistics are asymptotically normally distributed.

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The genetic etiology of complex human diseases has been commonly viewed as a process that involves multiple genetic variants, environmental factors, as well as their interactions. Statistical approaches, such as the multifactor dimensionality reduction (MDR) and generalized MDR (GMDR), have recently