Screening among multivariate normal data

Citation
Py. Chen et al., Screening among multivariate normal data, J MULT ANAL, 69(1), 1999, pp. 10-29
Citations number
16
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MULTIVARIATE ANALYSIS
ISSN journal
0047259X → ACNP
Volume
69
Issue
1
Year of publication
1999
Pages
10 - 29
Database
ISI
SICI code
0047-259X(199904)69:1<10:SAMND>2.0.ZU;2-A
Abstract
This paper considers the problem of screening k multivariate normal populat ions (secondary data) with respect to a control population (primary data) i n terms of covariance structure. A screening procedure, developed based upo n statistical ranking and selection theory, is designed to include in the s elected subset those populations which have the same (or similar) covarianc e structure as the control population, and exclude those populations which differ significantly. Formulas for computing the probability of a correct s election and the least favorable configuration are developed. The sample si ze required to achieve a specific probability requirement is also developed , with results presented in tabular form. This secondary data selection pro cedure is illustrated via an example with applications to radar signal proc essing. (C) 1999 Academic Press.