Some aging properties of parallel and series systems with a random number of components

In this article, we study aging properties of parallel and series systems with a random number of components. We show that the decreasing likelihood ratio property is closed under the formation of random minima. We also show, by counterexamples, that other aging properties are not closed under the formation of random minima or maxima. Some mistakes in the literature are corrected. © 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 238–243, 2014     

浅谈培养解题能力

从深刻理解数学概念内涵、熟悉数学公式及变式和注重解题过程分析三个方面谈如何有效培养学生的解题能力 ,进而促进学生数学能力的发展     

解读《史记》中“发奋自强”之精神

本文通过条析《史记》历史人物的兴衰成败及论赞司马迁的人生价值观,反复强调发奋自强精神的重要性。发奋自强的民族精神是我们取胜的法宝之一。     

Improving series and parallel systems through mixtures of duplicated dependent components

We discuss suitable conditions such that the lifetime of a series or of a parallel system formed by two components having nonindependent lifetimes may be stochastically improved by replacing the lifetimes of each of the components by an independent mixture of the individual components' lifetimes. We also characterize the classes of bivariate distributions where this phenomenon arises through a new weak dependence notion. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

由新比旧好元件组成的指数寿命系统的特性研究

文中研究了由独立的新比旧好元件组成的指数寿命系统,证明了:(i)对单调系统,它本质上是由指数寿命的元件串联而成;(ii)对系统的寿命是元件寿命的情形,除了一个元件是指数的外,其余元件的寿命分布均在零处退化。