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 |
|---|---|
| Pages (from-to) | 169-187 |
| Number of pages | 19 |
| Journal | Journal of Multivariate Analysis |
| Volume | 48 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1994 Feb |
| Externally published | Yes |
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ASJC Scopus subject areas
- Statistics and Probability
- Numerical Analysis
- Statistics, Probability and Uncertainty
Cite this
Higher Order Asymptotic Theory for Discriminant Analysis in Exponential Families of Distributions. / Taniguchi, Masanobu.
In: Journal of Multivariate Analysis, Vol. 48, No. 2, 02.1994, p. 169-187.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Higher Order Asymptotic Theory for Discriminant Analysis in Exponential Families of Distributions
AU - Taniguchi, Masanobu
PY - 1994/2
Y1 - 1994/2
N2 - 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
AB - 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
UR - http://www.scopus.com/inward/record.url?scp=38149146781&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=38149146781&partnerID=8YFLogxK
U2 - 10.1006/jmva.1994.1001
DO - 10.1006/jmva.1994.1001
M3 - Article
AN - SCOPUS:38149146781
VL - 48
SP - 169
EP - 187
JO - Journal of Multivariate Analysis
JF - Journal of Multivariate Analysis
SN - 0047-259X
IS - 2
ER -