EIGENVALUE IMMOBILITY MEASURES FOR MARKOV-CHAINS

被引：46

作者：

SOMMERS, PM ^{[1
]}

CONLISK, J ^{[1
]}

机构：

[1] UNIV CALIF SAN DIEGO,SAN DIEGO,CA 92110

来源：

JOURNAL OF MATHEMATICAL SOCIOLOGY | 1979年 / 6卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1080/0022250X.1979.9989891

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Two eigenvalue measures of immobility are proposed for social processes described by a Markov chain. One is the second largest eigenvalue modulus of the chain's transition matrix. The other is the second largest eigenvalue modulus of a closely related transition matrix. The two eigenvalue measures are compared to each other and to correlation and regression-to-the-mean measures. In illustrative applications to intergenerational occupational mobility, the eigenvectors corresponding to the eigenvalue measures are found to be good proxies for occupational status rankings for a number of countries, thus reinforcing a pattern noted by Klatsky and Hodge and by Duncan-Jones. © 1979, Taylor & Francis Group, LLC. All rights reserved.

引用

页码：253 / 276

页数：24