Asymptotic normality for limiting discrete distributions

Three basic asymptotic normality conditions for limiting discrete distributions are given in terms of differencing operators. Under these conditions one can establish asymptotic normality by directly dealing with the limiting behaviors of distribution functions themselves without resorting to the central limit theorem.     

太赫兹时域光谱技术在纺织纤维鉴别中的应用

提出了一种基于太赫兹时域光谱(THz-TDS)的纺织品鉴别方法,并以几种常见的合成纤维作为实验介质证明该方法的可行性。利用THz-TDS系统测得了这些介质在大赫兹波段的时域光谱信号,得到了它们在太赫兹波段吸收系数谱。实验结果表明,涤纶、锦纶和维纶分别在0.98、1.51和1.16THz有明显不同的特征吸收峰,芳纶、腈纶和天丝的吸收谱也存在明显差别。研究表明,利用太赫兹时域光谱技术进行合成纤维鉴别是可行的,为进一步将太赫兹波技术应用于纺织品检测提供了依据。     

Probit and logistic discriminant functions

Most discriminant functions refer to qualitatively district groups. Talis et al. (1975) introduced the probit discriminant function for distinguishing between two ordered groups. They showed how to estimate this function for mixture sampling and continuous predictor variables. Here an estimation system is given for the more common separate sampling which is applicable to continuous and/or discrete predictor variables. When used solely with continuous variables) this method of estimation is more robust than Tallis!

The relationship of probit and logistic discrimination is discussed.     

Diagnostics of prior-data agreement in applied Bayesian analysis

This article focused on the definition and the study of a binary Bayesian criterion which measures a statistical agreement between a subjective prior and data information. The setting of this work is concrete Bayesian studies. It is an alternative and a complementary tool to the method recently proposed by Evans and Moshonov, [M. Evans and H. Moshonov, Checking for Prior-data conflict, Bayesian Anal. 1 (2006), pp. 893–914]. Both methods try to help the work of the Bayesian analyst, from preliminary to the posterior computation. Our criterion is defined as a ratio of Kullback–Leibler divergences; two of its main features are to make easy the check of a hierarchical prior and be used as a default calibration tool to obtain flat but proper priors in applications. Discrete and continuous distributions exemplify the approach and an industrial case study in reliability, involving the Weibull distribution, is highlighted.     

EXACT INFERENCE FOR FAMILY DISEASE CLUSTERS

In many epidemiologic studies the first indication of an environmental or genetic contribution to the risk of disease is the way in which the diseased cases cluster within the same family units. The concept of clustering is contrasted with incidence. We assume that all individuals within the same family are independent, up to their disease status. This assumption is used to provide an exact test of the initial hypothesis of no familial link with the disease, conditional on the number of diseased cases and the sizes of the various family units. Ascertainment bias is described and the appropriate sampling distribution is demonstrated. Two numerical examples with published data illustrate these methods.     

Slope estimation of covariates that influence renal outcome following renal transplant adjusting for informative right censoring

A new statistical model is proposed to estimate population and individual slopes that are adjusted for covariates and informative right censoring. Individual slopes are assumed to have a mean that depends on the population slope for the covariates. The number of observations for each individual is modeled as a truncated discrete distribution with mean dependent on the individual subjects’ slopes. Our simulation study results indicated that the associated bias and mean squared errors for the proposed model were comparable to those associated with the model that only adjusts for informative right censoring. The proposed model was illustrated using renal transplant dataset to estimate population slopes for covariates that could impact the outcome of renal function following renal transplantation.     

DFT测频的加窗插值算法与实现

分析DFT频谱中栅栏效应的形成原因,推导出DFT频谱的幅度比值校正算法,在此基础上,系统地推导不同加窗函数下的插值校正公式以提高DFT测频精度,重点探讨插值算法的工程实现方法,提出一种适于FPGA实现的基于区间搜索的频率偏差估计算法,以避免复杂的除法运算。通过对不同信噪比、不同频率偏差下的校正结果进行仿真分析,发现该算法完全满足工程实际需要。     

离散经典风险模型中的破产概率及其渐近解

在文献[1]的基础上针对复合二项模型导出了任意初始盈余和任意个体索赔额情形下的最终破产概率的递推解，并得到了它的渐近解。     

浅谈"离散数学"课程的教学改革与实践

文章分析了"离散数学"的知识结构特点以及进行教学改革的必要性,阐述了"离散数学"课程改革的实践体会以及初步成效,并针对如何提高教学质量问题进行了探讨。     

浅谈水泥路面“黑色化”的施工技术

水泥混凝土路面经过一段时间的使用后,往往会出现凹凸不平、断板、脱空裂缝、压碎等问题,目前对水泥混凝土路面通常采用沥青混凝土＂黑色化＂的改造方法。本文探讨了沥青混凝土＂黑色化＂改造的一些关键做法,指出既要了解旧的水泥混凝土路况并及时对旧的水泥路面进行病害的处理,又要处理好沥青加铺层的施工。