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Both the fuzziness and the randomness of the basic variable and the state variable are considered in the present method.

结合工程实际,提出了非闭合隶属函数的截断可能性分布模型,并对模糊强度和模糊应力进行截断处理,给出了结构模糊随机失效概率随截断参数的分布,并给出了结构模糊随机失效概率分布的数值计算方法。

Abnormal distribution is not rare in practical measurement. Beta distribution contains not only central distribution but also non-central distribution. It is a good method to simplify the research of practical measurement distribution.

为了解决实际测量中的非正态分布的表示问题,本文采用含有两个参数的Beta分布来统示表示多种类型分布,并且解决了该分布的参数、特征值的计算。

Therefore,the complicated problem is simplified into asolving procedure of a group of infinite dimensional algebra equations.In thefact,not only is a general solution of the problem obtained,but also a method tocompute the dynamic thermal stress distribution at the surface of the cavity afterthe definition of the coefficient of the dynamic thermal stress distribution isgiven.

事实上,不但得到了单连通区域或复连通区域型二维孔洞表面的动态热应力分布问题的一个一般的解析解,而且,在定义了非耦合和耦合无量纲化动态热应力分布系数后,推导出计算单连通区域或复连通区域型二维孔洞表面的动态热应力分布的方法。

In chapter five, let {Xt,i 1} be ρ-mixing sequences with identical distributions, which belong to domain of normal attraction with non-generational and stable distribution. With probability one, we have limsup a.s.

第五章,设{X_n,n≥1}是同分布ρ-混合序列,其分布属于特征指数为α(0<α<2)的非退化稳定分布的正则吸引场,证明了依概率1有

In chapter five, let {Xt,i 1} be ρ-mixing sequences with identical distributions, which belong to domain of normal attraction with non-generational and stable distribution. With probability one, we havelimsup a.s.

第五章,设{X_n,n≥1}是同分布ρ-混合序列,其分布属于特征指数为α(0<α<2)的非退化稳定分布的正则吸引场,证明了依概率1有

To address the problem that the distribution feature of time series could not always be easily described due to its diversity, the likelihood function based on the asymmetric Laplace distribution was employed irrespective of the original distribution of the data.

针对时间序列分布特征多样性的问题,不考虑序列本身的分布特征而选择非对称Laplace分布的似然函数对模型进行贝叶斯分位回归分析。

However, asymmetric Laplace distribution has only 2 parameters and explicit distribution function form, it can fit the data of stock returns well. Consequently it greatly facilitates the calculation of optimal portfolios and the management of financial risk.

非对称拉普拉斯分布有明确的解析表达分布函数,只含有2个参数,能够较好拟合股票收益率分布的尖峰厚尾偏倚特性,给进一步的研究证券投资组合和金融风险管理带来了很大的便利。

The experiment results prove that the way with regularization technology is better than the way without regularization technology. In order to overcome the limitation of the regularization method, chapter 6 builds an irregular MRF model suitable for the motion estimation of feature point based on MAP-MRF frame. The energy function, which can reflect the joint probability distribution of motion parameters and the constraints relation of local 3D motion parameters, is established in irregular MRF.

为了解决正则化方法只能分析非刚体局部三维运动的缺点,第6章在基于MAP-MRF的分析框架中建立了与特征点运动估计相对应的非规则MRF模型,构造了非规则MRF模型中反映非刚体局部三维运动参数之间约束关系和运动参数联合概率分布的能量函数,通过能量函数最小化估计运动参数。

Hypothesis test of clock synchronization is discussed in this paper.

在时钟偏差的统计分布特性近似于服务正态分布的假设条件之下,提出了基于非中心t分布的时钟同步假设检验方案。

Traditionally, a surface is usually scatted in an array of 3D data points which are topologically connected by rows and columns to form a rectangular mesh. This method can't meet the requirement of description and measurement for some complex surfaces. On the basis of tracing border points, a new method is proposed to deliver 3D data points of surfaces, which are topologically constructed with optimum rectangular and triangular mesh. In order to measure surface efficiently and safely with NC machine, an optimization of measurement paths is proposed to avoid interference between the measuring tool and the surface with holes. The curve design is the basis of surface modeling.

数控测量技术的发展为测量自动化、集成化、智能化提供了可能,而对于复杂曲面的自动测量规划则是测量技术中的难点问题,平行截面等数目测点分布和四边拓扑测点分布规划方法,不论在测点分布的合理性上还是在网格结构的优化方面,均难以满足形状或边界较复杂曲面的离散化描述和曲面造型的要求,为了实现任意拓扑曲面的自动测量,本文对复杂曲面的合理离散化描述和自动测量问题进行了研究,提出了基于边界跟踪、优化网格的测点自动分布规划和四边、三角混合网格的生成方法:同时对具有孔洞或测量干涉凸台等非完整曲面的测量路径优化问题进行了研究,提出了路径优化方法。

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