分子集合套理论及其应用

在Ｌ是分子格时，借助于分子极小集概念引入了分子集合套概念，得到了一般Ｌ－ｆｕｚｚｙ集的若干新的表现定理，并给出了它们在拓扑中的应用．     

On optimal1iy criteria in simultaneous interval estimation

We investigate the optimality of the estimator θ(Qα ) when L(θ ) is the set of all normalized linear functions of θ and all elements in L(θ ) are of “equal importance.”     

On Markov-Pólya Distribution and the Katz Family of Distributions

This article is concerned with the Markov-Pólya distribution and its links with the Katz family of distributions. The Katz family is defined through a first-order recursion of remarkable form; it (only) covers the Poisson, negative binomial and binomial distributions. The Markov-Pólya distribution arises in the study of certain urn or population models that incorporate (anti)contagion effects. The present work is motivated by questions and applications in actuarial sciences. First, the Markov-Pólya distribution is presented as a claim frequency model. This distribution is then shown to satisfy a Katz-like recursion. As a consequence, a simple recursion is derived for computing a compound sum distribution that generalizes the Panjer algorithm in risk theory. The Katz family is also obtained as a limit of the Markov-Pólya distribution. Finally, an observed frequency of car accidents is fitted by a Markov-Pólya distribution.     

Optimum stratification for allocation proportional to strata totals for simple random sampling scheme

The paper considers the problem of finding optimum strata boundaries when sample sizes to different strata are allocated in proportion to the strata totals of the auxiliary variable. This variable is also treated as the stratification variable. Minimal equations, solutions to which provide the optimum boundaries, have been obtained. Because of the implicit nature of these equations their exact solutions cannot be obtained. Therefore, methods of obtaining their approximate solutions have been presented. A lim¬iting expression for the variance of the estimate of population mean, as the number of strata tend to become large, has also been obtained.     

Sampling distribution after splitting experimental units

It has been a common practice to recommend one distribution for a large class of problems. An example is the use of the logarithmic distribution for count data - the point of concern in this paper is its recommendation without regard to the size of the experimental unit. References for this particular distribution go back to Fisher et al. [1943]. Look up Douglas [1980], Patil et al. [1984] and Kotz and Johnson [1985] to pick up additional references in this area -especially through sorting the data base of the American Mathematical Society. We will show a fallacy in this structure; provide a computer algorithm find the actual distributions; and then to check on the divisibility. The language used is APL2. But the users can make up their own programs.     

Shrinkage estimation of reliability in the exponential distribution

In this paper we propose two shrinkage testimators for the reliability of the exponential distribution and study their properties. The optimum shrinkage coefficients for the shrinkage testimators are obtained based on a regret function and the minimax regret criterion. Shrinkage testimators are compared with a preliminary test estimator and with the usual estimator in terms of mean squared error. The proposed shrinkage testimators are shown to be preferable to the preliminary test estimator and the usual estimator when the prior value of mean life is close to the true mean life.     

子群的c-可补性对有限群结构的影响

利用子群的c 可补性定义,讨论了群的极小子群含于群的幂零超中心性对群结构的影响.     

基于Rough集理论的城市通信网络建设影响因素分析

以城市信息化空间数据处理为研究背景,基于Rough集理论解决信息网络建设系统中信息不确定,数据量大的困难。从Rough集的基本概念出发,给出决策表的知识表达系统,提出计算最小决策规则的算法,最后通过运用Rough集理论和方法对数据决策表的实例进行属性及属性值进行约简,挖掘其中隐含的知识,从而得出最小决策规则。     

离散傅里叶变换的算法及其分析

本文建立了关于离散傅里叶变换及其逆变换的一些新的快速算法,并对各类算法的运行进行了分析,从理论上论证了算法的正确性.     

Testing multiple slippages

A class of invariant Bayes rules is derived for testing homogeneity of k (≥2) different populations against (^k_t) slippage alternatives that some (unknown) subset of size t of the given populations has parameter larger than the remaining k-t, where t is a given integer between 1 and k-1. For a similar problem in nonparametric situations, locally best tests based on ranks are derived.