文章基本信息

标题：Properties of the Correlation Matrix Implied by a Recursive Path Model using the Finite Iterative Method
其他标题：Properties of the Correlation Matrix Implied by a Recursive Path Model using the Finite Iterative Method
本地全文：下载
作者：M'barek Iaousse ; Zouhair Elhadri ; Mohamed Hanafi 等
期刊名称：Electronic Journal of Applied Statistical Analysis
电子版ISSN：2070-5948
出版年度：2020
卷号：13
期号：2
页码：413-435
DOI：10.1285/i20705948v13n2p413
出版社：University of Salento
摘要：The present paper announces and demonstrates some useful properties of the impliedcorrelation matrix built by the Finite Iterative Method (Elhadri and Hanafi,2015, 2016; Elhadri et al., 2019) The most important property is that the impliedcorrelation matrix is affine for each of its parameters. In other words, the firstderivative with respect to each parameter does not depend on this parameter. Moreover,two properties affirm that the first and the second derivatives can be builtiteratively using the previous property. The final property shows that the secondderivatives with respect to every pair ofparameters in the same structural equationare null. These properties are very important in the sense that they can be used toconstruct a new computational approach to estimate recursive model parameters.These findings can be exploited in the estimation stage implementation, especiallyin the computation of the Newton Raphson algorithm to make the first and the secondderivatives of the discrepancy function more explicit and simplistic.
关键词：Path Analysis;Finite Iterative Method;implied correlation matrix;Newton Raphson algorithm