Analytical and statistical properties of local depth functions motivated by clustering applications
Author:
Affiliation:
1. Department of Statistics, George Mason University
2. Department of Mathematics, University of Trento
3. Department of Mathematics, Statistics and Computer Science, Universidad de Cantabria
Publisher
Institute of Mathematical Statistics
Subject
Statistics and Probability,Statistics, Probability and Uncertainty
Reference32 articles.
1. Rand, W. M. (1971). Objective criteria for the evaluation of clustering methods. Journal of the American Statistical Association 66 846–850.
2. HUBERT, L. and ARABIE, P. (1985). Comparing partitions. Journal of classification 2 193–218.
3. AGOSTINELLI, C. and ROMANAZZI, M. (2011). Local depth. Journal of Statistical Planning and Inference 141 817-830.
4. ALEXANDER, K. S. (1987). The central limit theorem for empirical processes on Vapnik-Cervonenkis classes. The Annals of Probability 15 178-203.
5. ARCONES, M. A. (1995). A Bernstein-type inequality for U-statistics and U-processes. Statistics & probability letters 22 239-247.
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