Sum,product and ratio of Pareto and gamma variables

The exact distributions of X+Y, X Y and X/(X+Y) are studied when X and Y are independent Pareto and gamma random variables. Applications are discussed, to real problems in clinical trials, computer networks and economics.     

Simulating random variables using moment-generating functions and the saddlepoint approximation

When we are given only a transform such as the moment-generating function of a distribution, it is rare that we can efficiently simulate random variables. Possible approaches such as the inverse transform using numerical inversion of the transform are computationally very expensive. However, the saddlepoint approximation is known to be exact for the Normal, Gamma, and inverse Gaussian distribution and remarkably accurate for a large number of others. We explore the efficient use of the saddlepoint approximation for simulating distributions and provide three examples of the accuracy of these simulations.     

利用外资的效应分析及外资政策的调整

本文通过对改革开放二十多年来,我国利用外资的绩效分析,及近年来利用外资的新变化,阐明了我国今后利用外资政策的调整及调整的方向。     

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．     

Asymptotic behaviour of a test statistic for detection of change in mean of vectors

The paper gives an asymptotic distribution of a test statistic for detecting a change in a mean of random vectors with dependent components. The studied test statistic has a form of a maximum of a square Euclidean norms of vectors with components being standardized partial cumulative sums of deviations from means. The limit distribution was obtained using a result of Piterbarg [1994. High deviations for multidimensional stationary Gaussian processes with independent components. In: Zolotarev, V.M. (Ed.), Stability Problems for Stochastic Models, pp. 197–210].     

WEIGHTED SUMS OF NEGATIVELY ASSOCIATED RANDOM VARIABLES

In this paper, we establish strong laws for weighted sums of negatively associated (NA) random variables which have a higher‐order moment condition. Some results of Bai Z.D. & Cheng P.E. (2000) [Marcinkiewicz strong laws for linear statistics. Statist. and Probab. Lett. 43, 105–112,] and Sung S.K. (2001) [Strong laws for weighted sums of i.i.d. random variables, Statist. and Probab. Lett. 52, 413–419] are sharpened and extended from the independent identically distributed case to the NA setting. Also, one of the results of Li D.L. et al. (1995) [Complete convergence and almost sure convergence of weighted sums of random variables. J. Theoret. Probab. 8, 49–76,] is complemented and extended.     

关于数论函数方程δ（x^2＋y）＋δ（x＋y^2）=2ψ（x^3＋y^3）

对于正整数k,设δ（k）和ψ（k）分别是k的约数和函数和Dedekind函数．该文证明了：方程仅有正整数解（x,y）=（1,1）．     

直接言词原则与刑事证人出庭作证问题研究

现代诉讼制度要求刑事案件的审理必须贯彻直接言词原则以便于查明案件事实,而直接言词原则要求刑事证人必须出庭作证;我国相关刑事立法与司法实务中还存在着诸多的问题,在刑事审判实务中检察机关提供证人证言笔录成为证人作证的常态;在刑事立法上建立有效的证人作证传唤制度、完善对证人拒绝出庭作证的强制性措施和制裁条款的规定等成为目前亟需解决的问题。      

海峡两岸经济关系与经济合作发展形势评析

受国际金融危机与国际经济及海峡两岸经济形势大环境变化影响,海峡两岸贸易与台商对大陆投资呈现从大幅衰退到强劲反弹回升的发展态势,两岸经济关系发展格局尤其是台商对大陆投资策略与区域布局发生新的变化。海峡两岸经济交流与合作取得一系列新进展,大陆居民赴台旅游与两岸直航经济效果显著,大陆企业赴台投资正式启动,两岸经济关系正在迈向正常化与制度化合作的新阶段。     

外商直接投资与我国环境安全研究综述

笔者回顾了近年来关于外商直接投资与我国生态环境关系的研究,采用贸易环境效应分析基本框架,将外商直接投资对环境的影响分解为规模效应、结构效应、技术效应和政策效应四个方面,而不是采用“污染避难所”和“污染光环”等单因素分析方法,从而更加全面地探讨了两者之间的复杂关系。最后指出,如何协调统一外商直接投资与东道国生态环境发展目标已成为未来该领域的主要研究方向。