共查询到20条相似文献,搜索用时 687 毫秒
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讨论一种离散型随机变量的分布,得到了此种随机变量的概率分布以及该分布的数学期望与方差,并验证了该分布应满足的必要条件. 相似文献
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引入优势-等价关系下不协调目标信息系统的概念,讨论了该系统的分布约简和最大分布约简之间的关系,得到了辨识矩阵及分布约简和最大分布约简的判定定理,并通过实例验证了该方法的有效性. 相似文献
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根据多种先验分布与似然函数尾部特性的比较,给出了多源验前信息下先验分布的稳健融合方法.讨论了由该方法得到的融合先验分布的后验稳健性问题.最后的数值例子表明,由该方法得到的融合先验分布具有较好的稳健性,进一步验证了该方法的有效性. 相似文献
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学习水平的标准评价模型及应用 总被引:2,自引:1,他引:1
谷峰 《数学的实践与认识》2010,40(24)
提出了一个标准分数系统,给出了标准分数变换公式.该系统将学生的成绩分布转换为一个后验确定参数的正态分布,以后验地修复由试题差异和其他考试环境引起的分数分布异常波动,最大限度的提高了标准分数的区分度,也使该分布更接近学生学习水平的实际分布.在此基础上讨论了该标准化分数系统在学生学习水平的比较,试卷的评估等方面的应用. 相似文献
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学生考试成绩分布是教学研究的一个重要课题,可以从多个角度开展研究,如讨论成绩分布的基本规律、分析成绩分布的基本决定因素、研究如何获得准确合理的成绩分布、探讨根据成绩分布如何改进教学活动等.目前人们基本上是以定性研究为主,很少见到定量的学生成绩分布的研究.为了促进该领域研究的进一步开展,提出了一个定量的研究学生成绩分布的数学模型,该模型中唯一的假设是学生考试成绩取决于学习时间和学习效率.利用学生人数随着学习时间和学习效率分布的两个基本规律,获得了学生人数随考试成绩分布的基本规律.实践中两个基本规律可以通过问卷、测试、谈话或者借助于一定的理论分析等多种方式获得.基于分子运动论和高斯模型,获得了一种学生人数随着学习时间和学习效率分布的两个特殊规律,分析了其中参数的意义和影响,给出了一些很有意义的结论.该模型可以预测学生考试成绩的分布规律,获得学生学习状况的许多信息,有助于改进教学活动和提高学生学习积极性.这是一个非常初步的定量化研究,希望在未来的研究中不断改进和丰富. 相似文献
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委托-代理理论在保险代理激励机制中的应用 总被引:1,自引:0,他引:1
本文将委托 代理模型应用于保险人与保险代理人之间的激励机制中 ,在外生环境服从指数分布的随机变量时 ,针对对称信息与不对称信息情况分别进行讨论 . 相似文献
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用连续型分布拟合马尾松毛虫种群空间分布型 总被引:1,自引:1,他引:0
本文用连续型分布拟合马尾松毛虫越冬代幼虫的空间分布型。结果表明,在高虫口密度情况下,幼虫服从Weibull分布或指数分布。 相似文献
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In this paper we study the distribution of hitting times for a class of random dynamical systems. We prove that for invariant measures with super-polynomial decay of correlations hitting times to dynamically defined cylinders satisfy exponential distribution. Similar results are obtained for random expanding maps. We emphasize that what we establish is a quenched exponential law for hitting times. 相似文献
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The geometric process is considered when the distribution of the first interarrival time is assumed to be exponential. An analytical expression for the one dimensional probability distribution of this process is obtained as a solution to a system of recursive differential equations. A power series expansion is derived for the geometric renewal function by using an integral equation and evaluated in a computational perspective. Further, an extension is provided for the power series expansion of the geometric renewal function in the case of the Weibull distribution. 相似文献
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Zinoviy Landsman 《Statistics & probability letters》2011,81(3):382-391
Rogers and Shi (1995) have used the technique of conditional expectations to derive approximations for the distribution of a sum of lognormals. In this paper we extend their results to more general sums of random variables. In particular we study sums of functions of dependent random variables that are multivariate normally distributed and also derive results for sums of functions of dependent random variables from the additive exponential dispersion family. The usefulness of our results for practical applications is also discussed. 相似文献
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Jae Gug Bae 《Journal of Mathematical Analysis and Applications》2009,353(1):1-7
With the introduction of a new parameter n, Kim recently generalized an upper bound for the exponential function that implies the inequality between the arithmetic and geometric means. In this paper, we answer some of Kim's conjectures about the inequalities between Kim's generalized upper bound and the original one. We also see the validity of Kim's generalization for some further negative values of x for the case in which the n is rational with both numerator and denominator odd. The range of its validity for negative x is investigated through the study of the zero distribution of a certain family of quadrinomials. 相似文献
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In this paper, a class of binary cyclic codes with three generalized Niho-type nonzeros is introduced. Based on some techniques in solving certain equations over finite fields, the proposed cyclic codes are shown to have six nonzero weights and the weight distribution is also completely determined. 相似文献
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We present an accurate investigation of the algebraic conditions that the symbols of a non-singular, univariate, binary, non-stationary subdivision scheme should fulfill in order to reproduce spaces of exponential polynomials. A subdivision scheme is said to possess the property of reproducing exponential polynomials if, for any initial data uniformly sampled from some exponential polynomial function, the scheme yields the same function in the limit. The importance of this property is due to the fact that several curves obtained by combinations of exponential polynomials (such as conic sections, spirals or special trigonometric and hyperbolic functions) are considered of interest in geometric modeling. Since the space of exponential polynomials trivially includes standard polynomials, this work extends the theory on polynomial reproduction to the non-stationary context. A significant application of the derived algebraic conditions on the subdivision symbols is the construction of new non-stationary subdivision schemes with specific reproduction properties. 相似文献