# Higher Order Asymptotic Theory for Discriminant Analysis in Exponential Families of Distributions

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4 Citations (Scopus)

### Abstract

This paper deals with the problem of classifying a multivariate observation X into one of two populations Π1: p(x; w(1)) ∈ S and Π2: p(x; w(2)) ∈ S, where S is an exponential family of distributions and w(1) and w(2) are unknown parameters. Let I; be a class of appropriate estimators (ŵ(1), ŵ(2)) of (w(1), w(2) based on training samples. Then we develop the higher order asymptotic theory for a class of classification statistics D = [Ŵ

Original language English 169-187 19 Journal of Multivariate Analysis 48 2 https://doi.org/10.1006/jmva.1994.1001 Published - 1994 Feb Yes

### Fingerprint

Higher-order Asymptotics
Exponential Family
Discriminant analysis
Asymptotic Theory
Discriminant Analysis
Statistics
Training Samples
Unknown Parameters
Estimator
Class
Asymptotic theory
Exponential family
Observation

### ASJC Scopus subject areas

• Statistics and Probability
• Numerical Analysis
• Statistics, Probability and Uncertainty

### Cite this

In: Journal of Multivariate Analysis, Vol. 48, No. 2, 02.1994, p. 169-187.

Research output: Contribution to journalArticle

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