Computation of the poisson-inverse gaussian distribution

Recursion relations suitable for rapid computation are derived for the probabilities of the compound Poisson distribution when the compounder is the inverse-Gaussian distribution. Series representation of the probabilities are given. Asymptotic results as well as approximations for probabilities, compared with the exact values, are investigated.     

A simplified proof of a theorem on the difference of the moore–penrose inverses of two positive semi–difinte matrices

Simplified proofs are given of a standard result that establishes positive semi–definiteness of the difference of the inverses of two non–singular matrices, and of the extension of this result by Milliken and Akdeniz (1977) to the difference of the Moore–Penrose inverse of two singular matrices.     

A generalized scheffé method of multiple comparisons

Standard resulrs on the extrema of quotients of quadratic forms are extended to the non-negative definite case. The maximum and the set over which it is achieved are characterized explicitly both in terms of generalized inverse matrices and generalized eigenvalues. These results become the basis of Scheffe type multiple comparisons in the usual way. To demonstrate their application to statistics with singular covariance matrices, the method is detailed for Mantel-Haenszel, Breslow, and Cox statistics. An example is presented illustrating a situation where the proposed Scheffe type comparisons may be better than the pairwise method.     

An Easily Implemented Generalised Inverse Gaussian Generator

Using the ‘ratio’ method an easily implemented algorithm is derived for the generalised inverse Gaussian distribution. Computer timings and efficiency calculations show that the procedure is fast over a wide range of distribution parameter values.     

Nonparametric tests for scale shift at an unknown time point

A class of linear rank tests is suggested for testing a shift in scale at an unknown time point in a sequence of independent observations. The tests,based on inverse normal scores and on ordered exponential scores,are shown to be asymptotically as efficient as their distribution-oriented competitors. Critical values and powers for these two rank tests are also discussed.     

Functional sliced inverse regression analysis

Most of the usual multivariate methods have been extended to the context of functional data analysis. Our contribution concerns the study of sliced inverse regression (SIR) when the response variable is real but the regressor is a function. In the first part, we show how the relevant properties of SIR remain essentially the same in the functional context under suitable conditions. Unfortunately, the estimation procedure used in the multivariate case cannot be directly transposed to the functional one. Then, we propose a solution that overcomes this difficulty and we show the consistency of the estimates of the parameters of the model.     

On the Product of Inverse Wishart and Normal Distributions with Applications to Discriminant Analysis and Portfolio Theory

Abstract. In this article we analyse the product of the inverse Wishart matrix and a normal vector. We derive the explicit joint distribution of the components of the product. Furthermore, we suggest several exact tests of general linear hypothesis about the elements of the product. We illustrate the developed techniques on examples from discriminant analysis and from portfolio theory.     

基于Vague集和属性综合评价的股票投资价值分析方法

对二级市场上同一行业内的不同股票进行投资价值分析是一个系统综合评价问题。本文从评价指标的选择、单项指标的评价、多项指标的综合评价和属性识别准则四部分来阐述属性测度理论在股票投资价值分析中的应用。特别需要指出的是,股票投资价值评价指标体系的建立和指标权重的确定应用了Vague集的理论和方法。最后,我们应用属性综合评价方法对电子元器件制造业的公司股票进行投资价值分析,结果验证了该方法的实用性和正确性。     

运用反对数作图法测定氰脲酸的含量

介绍了运用反对数作图法电位滴定氰脲酸含量的测定方法,该测定法与银络盐容量法、二次微商法比较,更具有快速、简便的优越性。     

内心独白与诗化建构--伍尔夫小说创作论

伍尔夫的意识流小说影响极大,她的小说以新的内心话语和独特的结构形式宣告了崭新的小说美学原则的确立.在小说技法上,她纯熟地运用绘画的"构图艺术"、宏观的透视方法、主导的象征意象来丰富小说艺术的表现功能;她通过"内心独白"和"诗化小说"来展现人物心灵,刻画人物形象,构筑小说的独特意境,赋予小说美的内涵和意蕴.