The real powers of the convolution of a negative binomial distribution and a Bernoulli distribution

For 0,$"> this note computes essentially the set of in such that the entire series in defined by has all its coefficients non-negative. If and are independent random variables which have respectively Bernoulli and negative binomial distributions, denote by the distribution of . The above problem is equivalent to finding the set of 0$"> such that exists; this set is a finite union of intervals and may be the first example of this type in the literature. This gives the final touch to the classification of the natural exponential families with variance functions of Babel type, i.e. of the form , where is a polynomial with degree

     

运用漂移布朗族的高维狄利克莱问题的数值解

本文对高维狄利克莱问题的数值解提出了一种新的有效的求解方法。这种方法运用了解的随机表达式、球面击中时和位置的分布以及漂移布朗族的强马氏性。     

Generalized variance estimators in the multivariate gamma models

It is already known that the uniformly minimum variance unbiased (UMVU) estimator of the generalized variance always exists for any natural exponential family. However, in practice, this estimator is often difficult to obtain. This paper provides explicit forms of the UMVU estimators for the bivariate and symmetric multivariate gamma models, which are diagonal quadratic exponential families. For the non-independent multivariate gamma models, it is shown that the UMVU and the maximum likelihood estimators are not proportional.      

Banach空间中无限族广义集值拟变分包含

推广了Banach空间中广义拟变分包含的概念,研究了无限族广义集值拟变分包含的解的存在性及其迭代逼近问题．所得结果改进和推广了一些最新的成果．     

Reconstruction of possibilistic behavior systems

Reconstructability analysis is viewed as a process of investigating the possibilities of reconstructing desirable properties of overall systems from the knowledge of the corresponding properties of their various subsystems. The reconstructability analysis consists of procedures for generating meaningful reconstruction hypotheses, procedures for the evaluation of the reconstruction hypotheses, and procedures for making various decisions regarding the acceptance of evaluated reconstruction hypotheses, generation of additional reconstruction hypotheses, termination of the analysis and the like.The paper discusses the evaluation of reconstruction hypotheses when the systems under consideration are possibilistic behavior systems. It is shown that a principle of maximum ambiguity, similar to the principle of maximum entropy for probabilistic systems, can be used for possibilistic systems. It is also shown that the unbiased (maximum ambiguity) reconstruction can be determined by a simple join procedure, in a similar fashion as for probabilistic systems. The join procedure for possibilistic systems turns out to be computationally simpler than the one for probabilistic systems. The paper also describes a general procedure for determining the reconstruction family.     

Sixteen topological types in βω−ω

In this paper we describe sixteen topological types in βω?ω. Among others, we show that there is a weak P-point x ∈ βω?ω which is a limit point of some ccc subset of βω?ω?{x} and that there is a point y ∈ βω?ω which is a limit point of some countable subset of βω?ω?{y} but not of any countable discrete subset of βω?ω?{y}.     

宇宙线高能族事例中簇射粒子的横向分布

对甘巴拉山铅乳胶室实验所获取的总观测能为100TeV至400TeV的高能族事例中簇射粒子的横向分布进行了分析,并与相应的Monte Carlo模拟计算进行了比较.模拟计算采用的是CORSIKA程序,其中的强相互作用采用QGSJET模型.结果表明:采用CORSIKA(QGSJET)程序进行模拟所给出的族事例中簇射粒子的横向分布以及族事例能量集中率分布的整体趋势均与相应的实验数据基本相符.     

等势面族的条件及例子

介绍静电场中等势面的条件以及几个例子.     

高能族事例中的能量集中现象

给出了甘巴拉山乳胶室观测的族事例中横向的能量分布,与MONTECARLO模拟计算作了比较.指出超高能族事例中存在着能量集中的特征.     

An autostable 2 nilpotent group with no Scott family of finitary formulas

We construct an autostable 2 nilpotent group with no Scott family of finitary formulas but having a unique constructivization up to autoequivalence.