Publication: Recombining dependent data: an Order Statistics
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2009-12
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Abstract
This article discusses the problem of forming groups from previously split data.
Algorithms for Cluster Analysis like SAR proposed by Peña, Rodriguez and Tiao
(2004), divide the sample into small very homogeneous groups and then recombine
them to form the definitive data configuration. This kind of splitting leads to dependent
data in the sense that the groups are disjoint, so no traditional homogeneity of means or
variances tests can be used.
We propose an alternative by using Order Statistics. Studying the distribution
and some moments of linear combination of Order Statistics it is possible to recombine
disjoint data groups when they merge into a sample from the same population.
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SAR, Cluster Analysis, Order Statistics, L-statistics, Bootstrapping