Approximation of the Bivariate Renewal Function

Recently, Kambo and his co-researchers (2012) proposed a method of approximation for evaluating the one-dimensional renewal function based on the first three moments. Their method is simple and elegant, which gives exact values for well-known distributions. In this article, we propose an analogous method for the evaluation of bivariate renewal function based on the first two moments of the variables and their joint moment. The proposed method yields exact results for certain widely used bivariate distributions like bivariate exponential distribution, bivariate Weibull distributions, and bivariate Pareto distributions. An illustrative example in the form of a two-dimensional warranty problem is considered and comparisons of our method are made with the results of other models.     

Tests for time series of counts based on the probability-generating function

We propose testing procedures for the hypothesis that a given set of discrete observations may be formulated as a particular time series of counts with a specific conditional law. The new test statistics incorporate the empirical probability-generating function computed from the observations. Special emphasis is given to the popular models of integer autoregression and Poisson autoregression. The asymptotic properties of the proposed test statistics are studied under the null hypothesis as well as under alternatives. A Monte Carlo power study on bootstrap versions of the new methods is included as well as real-data examples.     

The quantile-based flattened logistic distribution: Some properties and applications

In this paper, the quantile-based flattened logistic distribution has been studied. Some classical and quantile-based properties of the distribution have been obtained. Closed form expressions of L-moments, L-moment ratios and expectation of order statistics of the distribution have been obtained. A quantile-based analysis concerning the method of matching L-moments estimation is employed to estimate the parameters of the proposed model. We further derive the asymptotic variance–covariance matrix of the matching L-Moments estimators of the proposed model. Finally, we apply the proposed model to simulated as well as two real life datasets and compare the fit with the logistic distribution.     

Kernel Estimation of Rate Function for Recurrent Event Data

Abstract.  Recurrent event data are largely characterized by the rate function but smoothing techniques for estimating the rate function have never been rigorously developed or studied in statistical literature. This paper considers the moment and least squares methods for estimating the rate function from recurrent event data. With an independent censoring assumption on the recurrent event process, we study statistical properties of the proposed estimators and propose bootstrap procedures for the bandwidth selection and for the approximation of confidence intervals in the estimation of the occurrence rate function. It is identified that the moment method without resmoothing via a smaller bandwidth will produce a curve with nicks occurring at the censoring times, whereas there is no such problem with the least squares method. Furthermore, the asymptotic variance of the least squares estimator is shown to be smaller under regularity conditions. However, in the implementation of the bootstrap procedures, the moment method is computationally more efficient than the least squares method because the former approach uses condensed bootstrap data. The performance of the proposed procedures is studied through Monte Carlo simulations and an epidemiological example on intravenous drug users.     

模糊技术在高校教学评估中的研究

研究了高校教学评估中知识的模糊关系及权重问题,讨论在有关模糊隶属函数计算方法的基础上,将模糊技术应用在教学评估中,为教学评估的研究提供一条新的途径。     

日语中的委婉表现及其语用功能

日语里有很多委婉的表现形式 ,如改换词语、以表喻里的暗喻法、模糊语、省略、正话反说、反话正说、借用其他词语等等。不同的表现形式包含有不同的语用功能。采用这些委婉的表现形式 ,其目的都是为了最终达到理想的交际效果。     

浅谈中小学合唱教学

本文通过对童声合唱艺术的重要性与训练中若干技术问题的分析 ,结合我国中小学音乐教育的实际状况而进行思考 ,认为在我国中小学音乐教育中 ,合唱教学应该占据与其地位相适应的位置 ;在合唱教学的具体实施中 ,要让中小学学生在曲目上有多样性的选择空间 ,以适应其生理与心理特点 ;学生所学的音乐知识应在合唱训练中得到全面的实践 ,从而使学生的艺术修养得到全面提升     

论文学理论中命名的意义和合法性

命名是文学理论阐释过程的一个重要环节,也是文学理论工作者必须正确认识和认真把握的一项内容。命名不仅要具有认知功能,还要具有价值功能,并在此基础上寻求自身的合法性。     

论政府的经济职能

政府的经济职能随经济社会发展而变化,不同时期不同经济体制下政府的经济职能不同,本文论述了政府经济职能的演变过程,分析了市场经济发达国家与我国政府经济职能的差异性,最后从理论上阐明了当前我国政府在经济发展、环境保护中应发挥的经济职能。     

中小企业增长与发展的创新驱动

中小企业的增长与发展是两个既有联系又有区别的概念。增长需要创新,转化为发展时更需要创新作为张力。本文分析了中小企业创新系统并探讨了创新内容以及创新活动中应该注意的问题。