软件可靠性模型的Bayes推断及Gibbs算法

作为重要的软件可靠性模型,JM模型的研究具有重要意义.论文研究了JM模型Bayes估计及其Gibbs算法.在先验分布确定的情况下,给出了Bayes估计的Gibbs算法,并证明了其收敛性.最后通过模拟分析发现：在1≥100,k〉600时,所得到的参数Bayes估计与初始值几乎无关.从而说明Gibbs算法的可行性.     

A CORRESPONDENCE BETWEEN THE AKNS HIERARCHY AND THE JM HIERARCHY

Reference [1] presented a gauge transformation between the x parts of the AKNS eigenvalue problem and those of the JM(Jaulent-Miedek)eigenvalue problem.In this paper we discuss the correspondence between the t parts of the AKNS eigenvalue problem and the t parts of the JM eigenvalue problem under the gauge transformation,and give a correspondence between the AKNS hierarchy and the JM hierarchy and also three types of Darboux tranaformation for the JM hierarchy.     

Partial energies monotonicity and holomorphicity of Hermitian pluriharmonic maps

In this paper,we introduce the notion of Hermitian pluriharmonic maps from Hermitian manifold into K¨ahler manifold.Assuming the domain manifolds possess some special exhaustion functions and the vecotor field V=JMδJM satisfies some decay conditions,we use stress-energy tensors to establish some monotonicity formulas of partial energies of Hermitian pluriharmonic maps.These monotonicity inequalities enable us to derive some holomorphicity for these Hermitian pluriharmonic maps.     

广义稠密随机交集图的度分布(英文)

广义随机交集图是一类重要的随机图模型,它是E-R随机图的变种,被广泛用于复杂社会网络的研究中.本文研究了在顶点度的期望趋于无穷的情况下,广义随机交集图的度分布.我们对二项模型给出了中心极限定理,并且对一致模型给出了极限定理.     

具有椭球误差的线性一致相关模型的相关性检验

本文讨论具有椭球误差的线性一致相关模型的相关性检验问题.基于Fisher-score方法给出模型参数估计的迭代公式,然后分别对一致相关系数进行了存在性和齐性检验,得到了相应检验的score统计量,同时给出了功效模拟.最后利用实际数据说明了模型以及检验统计量的价值.     

产品开发费用估算模型研究

对于大型复杂项目 ,开发费用是总体费用的一个重要组成部分 .近年来 ,开发费用的估算日益受到重视 .在总结了现有的开发费用估算模型 ,并对这些模型进行了比较与讨论 .在对开发费用的 Weibul分布曲线进行分析和研究后 ,针对开发费用的 Weibul分布曲线拟合的局限 ,提出了开发费用的 Weibul分布累积曲线拟合模型 ,给出了模型使用的条什 .最后 ,给出了模型分析的一个实例     

基于SAS系统的体能测试时间安排模型研究

基于不同的考虑,给出了体能测试安排的3个模型.模型Ⅰ,对体能测试的5个项目依据随机服务系统理论,得到每名学生测试完成的平均等待时间;模型Ⅱ,根据SAS系统Proc Univariate过程,得出体能测试班级人数的茎叶图及所有班级的一个分组,给出了各班参加体能测试的具体时问安排表;模型Ⅲ,给出了一个台阶测试与班级人数的关系式,并基于此关系式得出较精确的体能测试时间安排表.基于三个体能测试模型,给出了一种较符合实际的体能测试方案.     

广义加权网络演化模型

在复杂网络BBV演化模型的基础上,采用新的赋权方式构建广义加权网络FBBV动态演化模型,给出FBBV模型的演化算法,然后对FBBV模型的性质进行理论推导,给出点权、边权的演化公式和点权、度和边权的分布规律.最后对FBBV模型进行了数值模拟,模拟的结果和理论推导结果一致.     

非线性测量误差模型的影响分析

本文对非线性测量误差模型给出了统一的诊断方法,并证明了数据删除模型与均值漂移模型的等价性,由此出发得到了Cook距离、残差、杠杆值等诊断统计量.本文还讨论了非线性测量误差模型的局部影响分析,并给出了一个具体应用实例.推广了Zhao & Lee(1995)的结果.     

集值Markov链及其随机集落影性质

提出了一种集值Markov链,该模型是对基于随机变量的Markov链推广,将随机变量提升到随机集上.模型继承了经典Markov链的诸多良好性质,而且可以退化为经典的Markov链模型.为了进一步分析该模型,引入随机集落影理论,提出转移落影、落影分布等概念,并给出了部分结论和性质.最后,给出一个应用实例.     

A correspondence between the AKNS hierarchy and the JM hierarchy

Reference [1] presented a gauge transformation between thex parts of the AKNS eigenvalue problem and those of the JM (Jaulent-Miodek) eigenvalue problem. In this paper we discuss the correspondence between thet parts of the AKNS eigenvalue problem and thet parts of the JM eigenvalue prohlem under the gauge transformation, and give a correspondence between the AKNS hierarchy and the JM hierarchy and also three types of Darboux transformation for the JM hierarchy.Project supported by the Science Fund of the Ministry of Education.     

Banach空间中的非线性增生算子随机方程

本文引进（ＪＭ）型算子的概念，并证明非线性增生算子和（ＪＭ）型算子随机方程的解的存在定理。     

A State Space Model for Software Reliability

In this paper, we propose a non-Gaussion state space model to apply in software reliability. This model assumes an exponential distribution for the failure time in every test-debugging stage, conditionally on the state parameter — the number of faults in the program. It is a generalized JM model which can be applied to the imperfect debugging situation as well as in evolving programs. By examining a set of data on evolving program failures, the effect of evolving program model is amply proved.     

On integrability of the extended (3+1)-dimensional Jimbo-Miwa equation

By applying the binary bell polynomial scheme, the bilinear form, Bäcklund Transformations, and lax pairs of an extended (3+1)-dimensional Jimbo-miwa (JM) equation are constructed. Next, periodic wave-type solutions can also be obtained to the extended (3+1)-dimensional JM equation through the three-wave method with the help of maple. Finally, a test function of the sech-function method is utilized to get solitary waves of this study problem. These new results can help us better understand interesting physical phenomena and mechanism.     

Numerical solution of nonlinear Jaulent–Miodek and Whitham–Broer–Kaup equations

In this work we investigate the numerical solution of Jaulent–Miodek (JM) and Whitham–Broer–Kaup (WBK) equations. The proposed numerical schemes are based on the fourth-order time-stepping schemes in combination with discrete Fourier transform. We discretize the original partial differential equations (PDEs) with discrete Fourier transform in space and obtain a system of ordinary differential equations (ODEs) in Fourier space which will be solved with fourth order time-stepping methods. After transforming the equations to a system of ODEs, the linear operator in JM equation is diagonal but in WBK equation is not diagonal. However for WBK equation we can also implement the methods such as diagonal case which reduces the CPU time. Comparing numerical solutions with analytical solutions demonstrates that those methods are accurate and readily implemented.     

The fractional supertrace identity and its application to the super Jaulent–Miodek hierarchy

In this paper, a fractional supertrace identity on superalgebras and Hamiltonian structure of the fractional soliton equation hierarchy are presented by using the modified Riemann–Liouville derivative and exterior derivatives of fractional orders. As applications, we get the fractional super Jaulent–Miodek (JM) hierarchy and its super Hamiltonian structure by using fractional supertrace identity. This method can be used to get more fractional super hierarchies.     

Simulations of collision of ice particles

The objective of this paper is to develop a realistic model for ice–structure interaction. To this end, the experiments made by Bridges et al. [Bridges FG, Hatzes A, Liu DNC. Structure, stability and evolution of Saturn’s rings. Nature 1984;309:333–5] in order to measure the coefficient of restitution for ice particles are thoroughly analyzed. One particularly troublesome aspect of the aforementioned experiments is fracture of the ice particles during a collision. In the present effort, the collisional properties of the ice particles are investigated using a Finite Element approach. It is found that a major challenge in modeling collision of the ice balls is the prediction of the onset of fracture and crack propagation in them. In simulations of a block of ice collision to a structure, it is crucial that fracture is determined correctly, as it will influence the collisional properties of the ice particles. The results of the simulation, considering fracture criterion implemented into the Finite Element Model [Zamankhan P, Bordbar M-H. Complex flow dynamics in dense granular flows. Part I: experimentation. J Appl Mech (T-ASME) 2006;73:648–57; Zamankhan P, Huang J. Complex flow dynamics in dense granular flows. Part II: simulations. J Appl Mech (T-ASME) 2007;74:691–702] together with a material model for the ice, imply that most of the kinetic energy dissipation occurs as a result of fracturing at the contact surface of the ice particles. The results obtained in the present study suggest that constitutive models such as those proposed by Brilliantov et al. [Brilliantov NV, Spahn F, Hertzsch JM, Poschel T. Model for collisions in granular gases. Phys Rev E;1996;53:5382–92] for collisions of ice particles are highly questionable.     

Linear differential operators related to the Jacobian Conjecture have a closed image

The main result of this work is the following theorem: LetP,QɛC[x, y] satisfy the Jacobian identity

A response to Tisdell on ‘Critical perspectives of the “new” difference equation solution method’ of Rivera-Figueroa and Rivera-Rebolledo

ABSTRACT

Recently, Christopher C. Tisdell questions some claims and results that appear in our article [Rivera-Figueroa A, Rivera-Rebolledo JM. A new method to solve the second-order linear difference equations with constant coefficients. Int J Math Educ Sci Technol. 2016;47(4):636–649.] regarding the novelty and simplicity of a method to solve second-order linear difference equations. He argues that our method was not new because the method already appeared in the mathematical literature, neither was simpler than existing ones. After carefully analysing and comparing the references quoted by Tisdell, we confirm that our method differs from that quoted by Tisdell. Moreover, our approach is simpler because it avoids the uniqueness theorem and the method of variation of parameters, in this context, it offers some clear didactic and epistemological advantages.