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《数学的实践与认识》2020,(9)
对于域上的一类Frobenius代数,给出了确定Frobenius系的一般方法.同时,给出了对称Frobenius扩张的等价刻画.此外,给出了Artin代数的扩张上相对投射模和相对内射模一致的一个充分条件. 相似文献
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提出了决策指标的权重不能完全确定而只能对权重进行大小排序,并且决策矩阵中的元素包含区间数的多指标决策问题.分4种类型给出区间数决策矩阵的规范化方法,给出了决策方案综合评价值区间的计算模型及算法:给出了区间数比较大小的可能度的概念及可能度的性质;给出了优序数的概念及有关定理.在此基础上,给出了一种简易且具有保序性的方案排序方法.最后应用实例对方法进行说明. 相似文献
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Pascal分布的参数估计 总被引:2,自引:0,他引:2
韩明 《纯粹数学与应用数学》2006,22(4):510-515
对Pascal分布,提出了参数估计的一种新方法——E-Bayes估计法.给出了可靠度的E-Bayes估计的定义,在此基础上给出了可靠度的E-Bayes估计公式,并给出了可靠度的E-Bayes估计的性质——E-Bayes估计和多层Bayes估计的关系.最后,给出了模拟算例,结果表明本文提出的E-Bayes估计法可行且便于应用. 相似文献
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《数学物理学报(A辑)》2016,(5)
给出了参数的E-Bayes估计的定义.对Poisson分布,在平方损失下给出了参数的EBayes估计和多层Bayes估计,并在此基础上给出了E-Bayes估计的性质.最后,结合实际问题进行了计算,结果表明所提出的方法可行且便于应用. 相似文献
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研究全支付拍卖模型中参与人的参与结构以及均衡问题.首先给出了非对称信息下参与人的参与选择问题,分析了异质参与人的参与选择. 尔后给出了参与人参与均衡策略,给出当参与人估价分布函数在对称和非对称情形时, 竞赛中的对称均衡策略.最后给出了当均衡存在时, 竞争对手对均衡分布函数的估计. 相似文献
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《数学物理学报(A辑)》2010,(5)
研究全支付拍卖模型中参与人的参与结构以及均衡问题.首先给出了非对称信息下参与人的参与选择问题,分析了异质参与人的参与选择.尔后给出了参与人参与均衡策略,给出当参与人估价分布函数在对称和非对称情形时,竞赛中的对称均衡策略.最后给出了当均衡存在时,竞争对手对均衡分布函数的估计. 相似文献
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韩明 《数学的实践与认识》2016,(5):231-238
在已有的文献中提出了一种新的参数估计方法——E-Bayes估计法.在对称损失函数下,对二项分布的参数给出了E-Bayes估计和多层Bayes估计,并给出了E-Bayes估计的性质.最后,给出了数值算例,结果表明提出的方法可行且便于应用. 相似文献
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Initial and initial boundary value problems for first order partial functional differential equations are considered. Explicit
difference schemes of the Euler type and implicit difference methods are investigated. The following theoretical aspects of
the methods are presented. Sufficient conditions for the convergence of approximate solutions are given and comparisons of
the methods are presented. It is proved that assumptions on the regularity of given functions are the same for both the methods.
It is shown that conditions on the mesh for explicit difference schemes are more restrictive than suitable assumptions for
implicit methods. There are implicit difference schemes which are convergent and corresponding explicit difference methods
are not convergent. Error estimates for both the methods are construted. 相似文献
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Global depth, tangent depth and simplicial depths for classical and orthogonal regression are compared in examples, and properties that are useful for calculations are derived. The robustness of the maximum simplicial depth estimates is shown in examples. Algorithms for the calculation of depths for orthogonal regression are proposed, and tests for multiple regression are transferred to orthogonal regression. These tests are distribution free in the case of bivariate observations. For a particular test problem, the powers of tests that are based on simplicial depth and tangent depth are compared by simulations. 相似文献
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New methods are introduced for the time integration of the Fourier and Chebyshev methods of solution for dynamic differential equations. These methods are unconditionally stable, even though no matrix inversions are required. Time steps are chosen by accuracy requirements alone. For the Fourier method both leapfrog and Runge-Kutta methods are considered. For the Chebyshev method only Runge-Kutta schemes are tested. Numerical calculations are presented to verify the analytic results. Applications to the shallow water equations are presented. 相似文献
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We propose a random censorship model which permits uncertainty in the cause of death assessments for a subset of the subjects in a survival experiment. A nonparametric maximum likelihood approach and a “self-consistency” approach are considered. The solution sets corresponding to both approaches are found. They are infinite and identical. Only some of the solutions are consistent; i.e., the MLEs and self-consistent estimators are not consistent in general. Two estimates are thus proposed and their asymptotic properties are studied. It is shown that both estimates are strongly consistent and converge to Gaussian processes. The covariance structures of these Gaussian processes are derived. 相似文献
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In this paper triangular norms and conorms are introduced and suitable definitions and properties are mentioned. Then, aggregation
functions and their basic properties are defined. The averaging aggregation operators are defined and some interesting properties
are derived. Moreover, we have extended concave and quasiconcave functions introducing t-quasiconcave and upper and lower
starshaped functions. The main results concerning aggregation of generalized concave functions are presented and some extremal
properties of compromise decisions by adopting aggregation operators are derived and discussed. 相似文献
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潘庆年 《数学物理学报(A辑)》2004,24(3):337-341
该文研究了(余)反射的等价性和可扩张性及应用,得到的主要结果如下:(1) 余反射余代数范畴和反射代数范畴是等价的.(2) 反射和余反射都具有可扩张性.使用这些结果可以用来推广和化简[1-4]中部分结论 相似文献
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MTL代数的特征定理 总被引:3,自引:1,他引:2
对于逻辑系统代数结构的研究,是一个十分重要的研究课题.近期提出的BL代数,R_0代数,MTL代数就是这个方向具有代表性的研究成果.本文讨论MTL代数的性质与结构,给出这种代数的几个特征定理,澄清这种代数与其它代数结构的关系.鉴于单位区间中由左连续t-范数诱导的剩余蕴涵与MTL代数的紧密联系,本文还考察了这种模糊蕴涵的特征性质. 相似文献
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Travelling-wave solutions of the Degasperis–Procesi equation are investigated. The solutions are characterized by two parameters. For propagation in the positive x-direction, hump-like, inverted loop-like and coshoidal periodic-wave solutions are found; hump-like, inverted loop-like and peakon solitary-wave solutions are obtained as well. For propagation in the negative x-direction, there are solutions which are just the mirror image in the x-axis of the aforementioned solutions. A transformed version of the Degasperis–Procesi equation, which is a generalization of the Vakhnenko equation, is also considered. For propagation in the positive x-direction, hump-like, loop-like, inverted loop-like, bell-like and coshoidal periodic-wave solutions are found; loop-like, inverted loop-like and kink-like solitary-wave solutions are obtained as well. For propagation in the negative x-direction, well-like and inverted coshoidal periodic-wave solutions are found; well-like and inverted peakon solitary-wave solutions are obtained as well. In an appropriate limit, the previously known solutions of the Vakhnenko equation are recovered. 相似文献
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Three types of matrix stability 总被引:1,自引:0,他引:1
G. W. Cross 《Linear algebra and its applications》1978,20(3):253-263
Three types of stability of real matrices are compared and necessary conditions are obtained in terms of the principal submatrices. For normal matrices and matrices whose off-diagonal elements are all positive, these conditions are sufficient, and the three types of stability are all equivalent. Necessary and sufficient conditions in terms of the elements of the matrix are proven for matrices of order 2 and 3. 相似文献