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We will demonstrate the specification of reference prior distribution on the random covariance matrix. We will consider the approximate uniform shrinkage prior and approximate Jeffreys' prior. Both are formulated based on the approximated likelihood function. Under generalized linear mixed models, we show that the posterior mode under Jeffrey's prior is asymptotically closer to the REML estimate than the mode under uniform shrinkage prior does.

在广义线性混合模式下，我们证明了在样本数很大时，随机效应之变异数成份的后验众数和REML估计值会近似相等，同时也建立了后验众数和REML估计值的近似关系式，并提出了比较二种后验众数与REML估计值之间远近的准则。

Then,we improve CSFP Model in two aspects:when we ascertain the frequency of default,we use negative binomial distribution to substitute Poisson distribution so that the model can measure the data better;when we ascertain the loss distribution of default,we use Γ-distribution to substitute normal distribution.

其创新与特色一是对贷款组合的风险暴露数进行分段，在每一频段上分别确定风险暴露数分布，进而可以更准确的描述各笔贷款的风险暴露数。二是在确定风险暴露数分布时，用Γ分布替代了传统的正态分布，解决了贷款违约的风险暴露数分布的厚尾问题，进而解决了大宗贷款违约的风险度量问题。三是确定违约频率时，用负二项分布来代替传统的泊松分布，解决了违约频率的方差通常要大于其均值的分布拟合问题。

By systematically analyzing the single particle level and the occupation probability near the Fermi surface,and the rule of nuclear particle number deviations with proton numbers for N =8,20,28,50,82,126 neutron chains within the relativistic mean-field model with BCS theory,we have discussed the stability of the shell structure for the traditional neutron magic in the whole range of nuclear spectrum from neutron line to proton line,and predicted that traditional neutron magic number effect shall possibly disappear only in light neutron-rich nuclei.

在考虑了BCS理论的相对论平均场模型框架内，通过系统研究 N =8，20，28，50，82和126六条同中子素链中每个元素费米面附近的单粒子能级间隔、粒子数占有概率比以及原子核体系的粒子数偏离随质子数的变化规律，讨论了传统中子幻数的壳结构在从中子滴线区到质子滴线区整个核谱上的稳定性，预言只有在轻核的丰中子区域，传统的中子幻数效应才可能消失，并把计算结果和最近的文献报道作了比较。

First, based on the mathematics model of comprehensive decision at present, the concept of evaluation function is introduced. Based on the thinking stability of decision-maker, the essential meaning of comprehensive decision model is discussed, therefore, and a new improved approach on the comprehensive decision model is put forward. Second, the mathematics model of interval number comprehensive decision is systematically discussed, and the ranking method of interval number based on the decision-maker's attitude is provided. Finally, the concept of valuation order relation is introduced, the valuation order relation of interval number and fuzzy number are systematically discussed in detail, it provides a new method to research the order relations of interval number and fuzzy number, therefore, these achievements can be applied in the intelligent system.

首先，针对常用的综合决策模型，给出了评判函数的概念，讨论了综合决策模型的本质意义，指出决策者的思维应具有稳定性，从而给出了综合决策模型的一种改进方法；第二，在此基础上，给出了区间数的综合决策模型，并详细讨论了基于决策者的决策心态的区间数的排序方法；第三，引入了赋值序关系的概念，详细讨论了区间数和模糊数的赋值序关系，为区间数和模糊数的序关系研究提供了新的思路与方法，这些均有望在智能系统中得到广泛的应用。

In recent years,medial average has still not been introduced in Sports statistics,which is used as a textbook in institutes of P.E. On the basis of analyzing the nature of medial average ,the author proposes that medial average is commonly got using average rates in sports researches because of its features and laws. Since medial average is gained by reciprocal of its observation value,a quick method of arithmetical average might be medial average equals to...

对近年来未把调和均数列入体育院校《体育统计学》通用教材提出了不同的看法，认为根据体育运动的特点与规律，在体育科研中，利用速率计算均值的情况较多，由于调和均数是应用其变数值的倒数来计算算术平均数，所以在加权正确的情况下，调和均数与算术均数计算结果相等，是算术均数的简捷计算方法，应该向学生介绍调和均数并列入教材。

Moreover, we get the sufficient and necessary condition of in Orlicz spaces.Chapter 3 Extreme points and strongly extreme points in Orlicz spaces equipped with the generalized Orlicz norm: In this paper, the conceptions of the generalized Orlicz norm and the generalized Luxemburg norm are introduced, and the criteria of extreme points and strongly extreme points of Orlicz function spaces equipped with the generalized Orlicz norm are obtained. Moreover, criteria of space strictly convex and mid-point locally uniform convex are given.

第三章 赋广义Orlicz范数的Orlicz函数空间的端点和强端点：本章在Orlicz空间推广了Orlicz范数和Luxemburg范数，引入了广义Orlicz范数和广义Luxemburg范数的定义，并给出了赋广义Orlicz范数的Orlicz函数空间的端点和强端点的判据，进而得到了赋广义Orlicz范数的Orlicz函数空间严格凸和中点局部一致凸的充要条件。

In 1980s, HFRS additionary occurred in spring season, the diseased cases and the dead cases accounted for 42.78%and 21.73%of that of the whole year respectively, the endemic area expanded to 14 areas where the mixed infection of Hantaan virus and Seoul virus were found. In 1990s, the diseased cases and dead cases were 43.68%and 37.55%of that of the whole year respectively, mixed infection of Hantaan and Seoul virus was found.

结果表明：山东省在60年代和70年代HFRS发病以秋冬季（10月～翌年1月）为主，其发病数占全年发病数的89.87％，病死数占全年的88.99％；疫区限于6个地区，疫区型别为姬鼠型。80年代，除秋冬季发病高峰外，出现春季（3～6月）发病高峰，其发病数和病死数分别占42.78％和21.73％；疫区扩大至全省14个地区，疫区型别为姬鼠型和家鼠型的混合型。90年代情况与80年代类同，春季发病与死亡数分别占全年的43.68％和37.55％；疫区型别仍为混合型。

The results show that the radiative properties of randomly distributed soot aggregates for a given fractal dimension are complex functions of the monomer diameters, the number of monomers in the aggregates,and the refractive index; For a small value of the monomer diameters, the absorption cross section of soot aggregates tends to be relatively constant when the fractal dimension is small but increases rapidly when the fractal dimension exceeds two. However, a monotonical reduction in light absorption with the increase of the fractal dimension is observed for soot aggregates with sufficiently large monomer diameters, number of monomers,and refractive index. The scattering cross section , extinction cross section and single-scattering albedo increase monotonically with the increase of the fractal dimension. Overall, the results for soot aggregates differ profoundly from those calculated for the equivalent spherical particles, and the discrepancies between them will change small with the increase of the fractal dimension.

研究表明，在给定分形维数的情况下，烟尘団簇粒子的辐射特性取决于原始微粒粒径、数量及复折射率；原始微粒较小的団簇粒子，当分形维数较小时，吸收截面变化不明显，但当分形维数大于二时，吸收截面骤然增大，然而，对于具有比较大的原始微粒粒径、数量及复折射率的烟尘団簇粒子，吸收截面随着分形维数的增大而单调递减；随着分形维数的增大，団簇粒子的散射截面、消光截面及单次散射反照率均单调递增；从整体上来讲，団簇粒子的辐射特性与等效球形粒子的辐射特性存在着比较大的差别，并且这种差别随着分形维数的增大而减小。

There is provided a portable radio signal transceiver including an annunciator which annunciates a user that there has been a call, a counter which counts both the number of calls having been made in a predetermined period of time and the number of annunciation made by the annunciator when there is a call, a memory storing therein a predetermined condition for locking a dial, the predetermined condition including the predetermined number N1 of annunciation and the predetermined number N2 of calls, and a controller which causes the portable radio signal transceiver to carry out dial-locking, if the numbers of annunciation and calls counted by the counter are equal to the predetermined numbers N1 and N2, respectively.

一种便携式无线电信号收发信机（100），它包括一个通告用户已来呼叫的通告器，一个计数在预定时间内所作的呼叫数和当来呼叫时由通告器所作的通告数的计数器，一个存储用来锁定拨号的预定条件的存储器（105）预定条件包括预定通告数N2和预定呼叫数N2的存储器，以及一个控制器，如果计数器计数的通告和呼叫数分别等于预定数N1和N2，则控制器使便携式无线电信号收发信机执行拨锁。

In the last two chapters, this thesis first develops two quaternion-based color image filtering methods that are based on the quaternion rotation theory and quaternion unit transform, respectively, then analyzes the fulfillment algorithm of the QSVD (Quaternion Singular Value Decomposition) and its applications to color image processing, and expands the real number-valued PCA to quaternion-valued PCA.

在论文的最后二章，通过利用四元数旋转和色调抵消机制以及四元数单位变换来表达二个彩色像素的色调差异，提出了二个基于四元数理论的彩色图像滤波的新方法；并分析了四元数奇异值分解QSVD (Quaternion Singular Value Decomposition)的实现算法及其在彩色图像处理中的应用；同时将实数域上的主成份分析扩展到四元数域，形成了四元数版本的主成份分析QPCA (Quaternion Principal Component Analysis)。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。