随机条件概率的一个极限性质与条件矩母函数方法

设Ｘｎ,ｎ〉０是在ｓ＝１,２,…,Ｎ中取值的一列随机变量,ｐｋ（ｘｋ↓ｘ０,…ｘｋ－１）＝ｐ（Ｘｋ＝ｘｋ↓Ｘ０＝ｘｋ－１＝ｘｋ－１）。本文得到随机概率｛ｐｋ（Ｘｋ↓Ｘ０,…Ｘｋ－１）,１〈ｋ〈ｎ↓）的调和平均ａ．ｅ．收敛的一个定理．证明中提出了将关开网的微分法和条件矩母函数的工具应用于强极限定理的研究的一种途径。     

MOMENT GENERATING FUNCTIONS OF RANDOM VARIABLES AND ASYMPTOTIC BEHAVIOUR FOR GENERALIZED FELLER OPERATORS

1. Introduction and NotationsThe generalized Feller operators which include many famous operators, such ajsBernstein, Szasz-Mirakjan, BaskakoV, Meyer--K5nig and Zeller operators, can be constructed by making use of the probabilistic method. In the paper [1][2], Xu JihuaPr(--lvjdetl a general scheme f(,r its construction, and Zhao Jillghui showed that theFeller type operators are of good approximations f'or unbounded functions.Our purpose is to present representation of moment generating …     

风险非同质时索赔次数的分布拟合及其EM算法

本文运用EM算法,对于风险非同质时索赔次数的分布,分别给出了离散型多元风险模型,混合两伽玛模型参数的极大似然估计的迭代公式,并将其应用到一个实际问题中去,效果较好。     

关于我国体质指数BMI的分布研究

生活水平的提高,使肥胖症患的人数逐年增加。大量研究证明,肥胖是诱发高血压、冠心病、糖尿病、高脂血症等慢性病的一种主要危险因素,对肥胖症的预防是主要的。确定肥胖的一个简单而又有效的办法是利用世界卫生组织推荐的体质指数ＢＭＩ（Ｂｏｄｙ Ｍａｓｓ Ｉｎｄｅｘ）。本基于上海市延吉地区近万名３０岁以上成年人的调查结果,对体质指数的分布进行了研究,并利用被污染的正态分布族模型对其进行了拟合。     

The constructive technique and its application in solving a nonlinear reaction diffusion equation

A mathematical technique based on the consideration of a nonlinear partial differential equation together with an additional condition in the form of an ordinary differential equation is employed to study a nonlinear reaction diffusion equation which describes a real process in physics and in chemistry. Several exact solutions for the equation are acquired under certain circumstances.     

Electrorheological Moment Amplifier

An electrorheological moment amplifier is developed and its work principle and structure characteristics are explained. Then, we research the effects of structural parameters on performance of mechanism and present optimization design methods and control methods. With a view of enhancing the amplification coefficient or increasing the speed of dynamic response, the expectation values of objectives and the weight are obtained and the amplifier with good performance could be designed. In this paper, the parabolic relation between moment amplified and electric field is decided by experimental fit method. And step and pulse electric field signals are used to study the dynamical properties of the device. As the result of experiments, it is confirmed that the electrorheological moment amplifier has good dynamic performance through optimization design methods.     

The Tarski irredundant basis theorem and the finite soluble groups

Denote by and , respectively, the smallest and the largest cardinality of a minimal generating set of a finite group G. The Tarski irredundant basis theorem implies that for every k with there exist a minimal generating set , an index and in G such that is again a minimal generating set of G. In this case we say that is an immediate descendant of ω. There are several examples of minimal generating sets of cardinality smaller than which have no immediate descendant and so it appears an interesting problem to investigate under which conditions an immediate descendant exists. In this paper we discuss this problem in the case of finite soluble groups.     

The Existence of the Complete and Completely Distributive Lattices

ＴｈｅＥｘｉｓｔｅｎｃｅｏｆｔｈｅＣｏｍｐｌｅｔｅａｎｄＣｏｍｐｌｅｔｅｌｙＤｉｓｔｒｉｂｕｔｉｖｅＬａｔｔｉｃｅｓＢａｔＲｕｉｐｕ（白瑞蒲）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＨｅｂｅｉＵｎｉｖｅｒｓｉｔｙ，Ｂａｏｄｉｎｇ，０７１００...     

Latroids and their representation by codes over modules

It has been known for some time that there is a connection between linear codes over fields and matroids represented over fields. In fact a generator matrix for a linear code over a field is also a representation of a matroid over that field. There are intimately related operations of deletion, contraction, minors and duality on both the code and the matroid. The weight enumerator of the code is an evaluation of the Tutte polynomial of the matroid, and a standard identity relating the Tutte polynomials of dual matroids gives rise to a MacWilliams identity relating the weight enumerators of dual codes. More recently, codes over rings and modules have been considered, and MacWilliams type identities have been found in certain cases.

In this paper we consider codes over rings and modules with code duality based on a Morita duality of categories of modules. To these we associate latroids, defined here. We generalize notions of deletion, contraction, minors and duality, on both codes and latroids, and examine all natural relations among these.

We define generating functions associated with codes and latroids, and prove identities relating them, generalizing above-mentioned generating functions and identities.

     

一类更新序列的母函数

数列f={f_1,f_2,…,f_n,…}称为f-序列,如果■(1)由f产生的更新序列u={u_0,u_1,u_2,…,u_n,…}依下式定义■记f=■,如果f=1,则称更新序列u为常返的.周知,u常返的充要条件是