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Bayesian classification based on multivariate binary data
This item is provided by the institution :
National Technical University of Athens
Repository :
Digital Library of National Technical University of Athens | Dspace@NTUA
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ΕΚΤ item type
Journal part
(EN)
Scientific article
(EN)
EKT year
1994
(EN)
EKT historical period
Title
Bayesian classification based on multivariate binary data (EN)
Creator
Kokolakis, GE (EN)
Johnson, WO (EN)
Description
Consider a disease which has associated with it d symptoms that are either present or absent. Several specific symptoms are known for an individual. The question is whether the person has the disease? This is a classification problem based on multivariate binary data. Our approach is Bayesian and involves the prediction of future d-vectors of binary responses. Underlying this problem is the implicit estimation of the corresponding 2d cell probabilities. This is difficult with low structure and with moderate or large d, unless the sample sizes for the training data are enormous. Our model incorporates a prior distribution on unknown parameters, and a 'smoothing' parameter that relates the cells to one another. The posterior is approximated in order to obtain cell probability estimates and an approximate predictive density. Consistency results are indicated, and the procedure is illustrated with data involving the diagnosis of a disease called 'dry eyes'. © 1994. (EN)
Type
journalArticle (EN)
Subject
Statistics & Probability (EN)
predictive density (EN)
entropy (EN)
kernel estimate (EN)
KERNEL METHOD (EN)
DISCRIMINATION (EN)
CATEGORICAL-DATA (EN)
Dirichlet distribution (EN)
Provider
National Technical University of Athens
Repository / collection
Digital Library of National Technical University of Athens | Dspace@NTUA
Subcollections
Κεντρική Βιβλιοθήκη Ε.Μ.Π.
Ιδρυματικό Αποθετήριο
Δημοσιεύσεις μελών Δ.Ε.Π. σε περιοδικά
Journal
Journal of Statistical Planning and Inference (EN)
Language
English
Issued
1994 (EN)
Identifier
http://hdl.handle.net/123456789/11168
1 (EN)
35 (EN)
ISI:A1994PA44700002 (EN)
10.1016/0378-3758(94)90152-X (EN)
0378-3758 (EN)
41 (EN)
21 (EN)
Publisher
ELSEVIER SCIENCE BV (EN)
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