RT Journal Article
T1 A preliminary test in classification and probabilities of misclassification
A1 Menéndez, María Luisa
A1 Pardo Llorente, Julio Ángel
A1 Pardo Llorente, Leandro
A1 Zografos, Konstantinos
AB Consider f(theta) to be a probability density function with parameter theta. A set of k populations can now be defined such that the ith population Pi(i) is the set of density functions f(theta 1(i)),...,f(theta mi(i)). This paper proposes a test, based on the Psi-dissimilariiy, of the hypothesis that a new individual from a population Pi(0) with a density function f(theta 0), belongs to the ith population. The probabilities of misclassification of the minimum Psi-dissimilarity classification rule are also obtained. In this paper, it is assumed that the parameters theta(1)((i)),...,theta(mi)((i)) and may be theta(0) are unknown and must be estimated from a set of training samples. Explicit expressions for the hypothesis test and the probabilities of misclassification are derived for the case where the populations Pi(i) consist of homoscedastic normal, as well as for gamma distributions.
PB Taylor & Francis
SN 0233-1888
YR 2005
FD 2005-06
LK https://hdl.handle.net/20.500.14352/50243
UL https://hdl.handle.net/20.500.14352/50243
LA eng
NO Ministerio Griego para el Desarrollo.
NO Ministerio Español de Asuntos Exteriores
DS Docta Complutense
RD 11 abr 2025