A consistent procedure for determining the number of clusters in regression clustering

被引：18

作者：

Shao, Q ^{[1
]}

Wu, Y ^{[1
]}

机构：

[1] York Univ, Dept Math & Stat, N York, ON M3J 1P3, Canada

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2005年 / 135卷 / 02期

关键词：

clustering; multiple regression; model selection; consistency;

D O I：

10.1016/j.jspi.2004.04.021

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper, an information-based criterion for determining the number of clusters in the problem of regression clustering is proposed. It is shown that, under a probabilistically structured population, the proposed criterion selects the true number of regression hyperplanes with probability one among all class-growing sequences of classifications, when the number of observations n from the population increases to infinity. Results from a simulation study are also presented. (c) 2004 Elsevier B.V. All rights reserved.

引用

页码：461 / 476

页数：16

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