Effects of Mahalanobis Distance and Prior Probabilities : On the Performance of the Linear and Quadratic Discriminant Functions: A Monte Carlo Approach
Language: English
Published by LAP LAMBERT Academic Publishing, 2011
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
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nach der Bestellung gedruckt Neuware - Printed after ordering - In Discriminant analysis, one requires a relatively large training sample to construct a discriminant function and evaluate its performance. This is often unattainable in practice and so numerous Monte Carlo studies have been undertaken in an attempt to shed light on the asymptotic properties of classification functions. This empirical study examines the asymptotic performance of normal-based Linear and Quadratic discriminant functions for observations from two multivariate normal populations with different prior probabilities and varying between group distances. The sensitivity of these functions to increase in sample size, prior probability and Mahalanobis distance is investigated. Four sample size ratios of group1 to group2 (n1:n2) considered are: (1:1), (1:2), (1:3), and (1:4). Sample sizes ranging from 25 to 3,000 were considered for values 1 to 7 of group centroid separator. Multivariate normal observations were generated for two P-variate populations with p=4, p=6, and p=8 (LDF(4), LDF(6) , LDF(8), QDF(4), QDF(6) and QDF(8)) models. The respective sample size-ratio combinations were repeated for each level of with 100 replications for each scenario.…
Seller Inventory # 9783846524169
- Title
- Effects of Mahalanobis Distance and Prior Probabilities : On the Performance of the Linear and Quadratic Discriminant Functions: A Monte Carlo Approach
- Author
- Atinuke Adebanji
- Publisher
- LAP LAMBERT Academic Publishing
- Publication year
- 2011
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3846524166
- ISBN 13
- 9783846524169
- Item weight
- 233 grams
- Dimensions
- 220x150x10 mm
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