A note on the IPF algorithm when the marginal problem is unsolvable

被引：0
|
作者：
Asci, C
Piccioni, M
机构：
[1] Univ Roma La Sapienza, Dipartimento Studi Geoecon Linguist Stat & Stor A, I-00161 Rome, Italy
[2] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy
来源：
KYBERNETIKA | 2003年 / 39卷 / 06期
关键词：
contingency tables; hierarchical models; partial maximization algorithms;
D O I：
暂无
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper we analyze the asymptotic behavior of the IPF algorithm for the problem of finding a 2 x 2 x 2 contingency table whose pair marginals are all equal to a specified 2 x 2 table, depending on a parameter. When this parameter lies below a certain threshold the marginal problem has no solution. We show that in this case the IPF has a "period three limit cycle" attracting all positive initial tables, and a-bifurcation occur when the parameter crosses the threshold.
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页码：731 / 737
页数：7
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