一类无平方因子数的k次方和

拓广了无平方因子数ｋ次方和的结果，得到一类无平方因子数ｋ次方和的估计式．     

An asymptotic expression for cumulative sum of probabilities of the hermite distribution

An asymptotic approximation of cumulative sum F(s) of probabilities of the Hermite distribution (Kemp C. D. and Kemp A. W. (1965)) and an asymptotic approximation of individual Hemite Probability P_s are given for large s.     

The robustness of the likelihood ratio test,the nonparametric sum rank test,and f-ratio tests when the populations are from the negative binomial family

In this study, the robustness of power and significance level of several statistical testing methods was evaluated under the assumption that the test populations were from Poisson, negative binomial, or geometric distributions. The F-ratio test, with or without appropriate transformations, was shown to be both safe and robust for all distributions examined.     

运用离差最大化方法对影响区域经济发展因素的分析

分析了离差最大化方法的特点,通过实证表明,运用离差最大化方法在确定指标权重方面比较客观的优点,分析不同区域经济发展过程中的主要影响因素,可寻求制定区域经济发展对策与措施的客观依据。     

幂级数的求和公式

运用微积分算子和它们的运算性质,得出幂级数的求和公式。     

我国商业银行小额账户收费动因研究

2005年以来,我国主要商业银行相继出台了小额账户清理和收费措施,本文首先分析清理小额账户的直接动机,进而通过中美两国银行业数据进行比较,运用理论阐述和实证分析说明小额账户政策调整的深层次原因在于减小系统压力、改善银行收入结构和分散风险,并提出了小额账户收费改革中可能面临的问题及解决对策。     

两类图的和数

研究了两类完全多部图的和数,证明了图K1,1,r和K1,1,1,r(r≥3)的和数分别是r和r 2.     

Second order tail behaviour of randomly weighted heavy-tailed sums and their maxima

Abstract

In this paper the second order asymptotics of the tail probabilities of randomly weighted sums and their maxima are established in the case that the underlying primary random variables are subexponential. No any assumption is made on the dependence structure between the random weights, but we assume these weights are bounded away from zero and infinity.     

A bivariate distribution with Lomax and geometric margins

We develop a stochastic model describing the joint distribution of $(X,N)$, where $N$ has a geometric distribution while $X$ is the sum of $N$ dependent, heavy-tail Pareto components. Models of this form arise in many applications, ranging from hydro-climatology to finance and insurance. We present fundamental properties of this vector, including marginal and conditional distributions, moments, representations, and parameter estimation. We also include an example from finance, illustrating modeling potential of this new bivariate distribution.