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频率型联系概率与随机事件转化定理 被引量:5
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作者 赵森烽 赵克勤 《智能系统学报》 CSCD 北大核心 2014年第1期53-59,共7页
为进一步研究联系概率与概率的关系,借助一种新的"掷硬币"和"掷骰子"随机试验,导出频率型概率的联系概率。在此基础上给出随机事件的"转化定理"与"大概率原理",并讨论其与"小概率原理&qu... 为进一步研究联系概率与概率的关系,借助一种新的"掷硬币"和"掷骰子"随机试验,导出频率型概率的联系概率。在此基础上给出随机事件的"转化定理"与"大概率原理",并讨论其与"小概率原理"的关系。以"掷骰子"为例给出同异反联系概率和多元联系概率的定义,说明频率型联系概率与古典概型、几何概型的联系概率具有同样的数学形式和性质,实例表明联系概率客观地反映了随机试验结果。 展开更多
关键词 随机试验 频率型概率 联系概率 转化定理 概率原理 大概率原理 同异反概率 多元联系概率
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双总体假设检验的另类区间估计法及其MCS研究 被引量:2
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作者 江海峰 《统计与决策》 CSSCI 北大核心 2009年第17期18-21,共4页
文章根据区间估计与假设检验的关系,通过构造大概率事件,利用另类区间估计检验方法,对双总体常见的参数假设检验给出了检验方法;并利用蒙特卡罗模拟方法从实验的角度对该检验方法进行了验证,证实了另类区间估计方法不但可以对原假设成... 文章根据区间估计与假设检验的关系,通过构造大概率事件,利用另类区间估计检验方法,对双总体常见的参数假设检验给出了检验方法;并利用蒙特卡罗模拟方法从实验的角度对该检验方法进行了验证,证实了另类区间估计方法不但可以对原假设成立时进行假设检验,对原假设不成立时也有满意的检验效率。 展开更多
关键词 假设检验 区间估计 大概率原理 蒙特卡罗模拟
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单总体下假设检验的另类区间估计检验及其MCS研究
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作者 江海峰 《安徽工业大学学报(自然科学版)》 CAS 2009年第4期422-427,共6页
根据区间估计与假设检验的关系,通过构造大概率事件,利用另类区间估计检验方法,对单总体常见的参数假设检验给出检验方法,并利用蒙特卡罗模拟方法从实验的角度对方法进行验证,证实了另类区间估计方法不但可以对原假设成立时进行假设检验... 根据区间估计与假设检验的关系,通过构造大概率事件,利用另类区间估计检验方法,对单总体常见的参数假设检验给出检验方法,并利用蒙特卡罗模拟方法从实验的角度对方法进行验证,证实了另类区间估计方法不但可以对原假设成立时进行假设检验,对原假设不成立时也有满意的检验效率。 展开更多
关键词 假设检验 区间估计 大概率原理 蒙特卡罗模拟
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Probabilistic analysis of random contact force between geomembrane and granular material 被引量:2
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作者 姜晓桢 束一鸣 《Journal of Central South University》 SCIE EI CAS 2014年第8期3309-3315,共7页
A probabilistic method based on principle of maximum entropy was employed to analyze the randomness of contact force between geomembrane and granular material.The contact force distribution is exponential according to... A probabilistic method based on principle of maximum entropy was employed to analyze the randomness of contact force between geomembrane and granular material.The contact force distribution is exponential according to the proposed method and the grain size is the most important factor that affects the distribution of contact force.The proposed method is then verified by a series of laboratory experiments using glass beads and cobbles as granular material and a very thin pressure,indicating that film is firstly used in these experiments which give a reliable method to measure the contact force at each contact point. 展开更多
关键词 GEOMEMBRANE granular material contact force probability density function
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A New Approach to Estimating the T-Year Return-Period Wave Height
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作者 ZHANG Jun SONG Wenpeng GE Yong 《Journal of Ocean University of China》 SCIE CAS 2011年第3期219-222,共4页
The paper introduces a new approach to estimating the T-year return-period wave height (TRPW), i.e. the wave height expected to occur in T-year, from two sets of observed extreme data and on the basis of the maximum e... The paper introduces a new approach to estimating the T-year return-period wave height (TRPW), i.e. the wave height expected to occur in T-year, from two sets of observed extreme data and on the basis of the maximum entropy principle. The main points of the approach are as follows. 1) A maximum entropy probability density function (PDF) for the extreme wave height H is derived from a Euler equation subject to some necessary and rational constraints. 2) The parameters in the function are expressed in terms of the mth moment of H. 3) This PDF is convenient to theoretical and practical applications as it is simple and its four parameters are easy to be determined from observed extreme data. An example is given for estimating the TRPW in 50 and 100 years by the present approach and by some currently used methods using observed data at two hydrographic stations.The comparison of the estimated results shows that the present approach is quite similar to the Pearson-Ⅲ and Gumbel methods. 展开更多
关键词 maximum entropy T-year return-period wave height Euler equation
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