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
收藏
页码：461 / 476
页数：16
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