Expected Error Rates for Logistic Regression Versus Normal Discriminant Analysis

The expected error rates associated with using the allocation rule based on logistic regression are derived in the context of two multivariate normal populations with a common covariance matrix and compared with the corresponding error rates of the classical rule based on this normality assumption. It is shown in terms of the actual sizes of the asymptotic expected error rates that the performance of the logistic procedure does not fall far short of the normality based method, even for widely separated populations. This latter result is not obvious from previously available work on the asymptotic relative efficiency of the logistic procedure.     

一类中立型时滞Lotka-Volterra系统的稳定性和振动性

、引言著名的Lotka－Volterra系统是研究有限空间内种群相互作用的重要工具之一．高维Lotka－Volterra系统的稳定性和振动性的研究，不仅具有理论意义，从应用的观点来看也是重要的．正如文献【3】所指出的：高维Lotka－Volterra系统在生态、经济、化学反应、医学等方面有着广泛的应用从而受到国内外众多学者的重视并发表了不少文献（4-6），但是对Lotka－Volterra系统的各种类型仍有待进一步的研究”。系统（E）的特别情形是文献【3】研究了两类不带时滞Lotka－Volterra系统的解的稳定性。种群相互作用的理论认为需要考虑每个种群对另…     

具有边疆时滞和扩散的非自治Holling捕食系统的持续生存

本文给出了在具有连续时滞和Ⅱ类功能性反应及扩散的非自治捕食系统中，种群持续自下而上，周期解存在及全局渐近稳定的充分条件。