Risk aggregation with dependence and overdispersion based on the compound Poisson INAR(1) process

Abstract

This paper considers an extension of the classical discrete time risk model for which the claim numbers are assumed to be temporal dependence and overdispersion. The risk model proposed is based on the first-order integer-valued autoregressive (INAR(1)) process with discrete compound Poisson distributed innovations. The explicit expression for the moment generating function of the discounted aggregate claim amount is derived. Some numerical examples are provided to illustrate the impacts of dependence and overdispersion on related quantities such as the stop-loss premium, the value at risk and the tail value at risk.     

Parameter estimation of Lindley step stress model with independent competing risk under type 1 censoring

Abstract

In literature, Lindley distribution is considered as an alternative to exponential distribution to fit lifetime data. In the present work, a Lindley step-stress model with independent causes of failure is proposed. An algorithm to generate random samples from the proposed model under type 1 censoring scheme is developed. Point and interval estimation of the model parameters is carried out using maximum likelihood method and percentile bootstrap approach. To understand the effectiveness of the resulting estimates, numerical illustration is provided based on simulated and real-life data sets.     

中国液化天然气进口流量与贸易潜力——基于贸易引力模型

国际能源署认为,液化天然气（LNG）推动了世界天然气贸易市场的整合,也为亚太、欧盟地区的国家天然气进口多元化提供了来源。中国自2005年进口LNG以来,其在中国天然气消费中的比重越来越高。为了对中国LNG进口流量与贸易潜力进行分析,选取中国LNG进口贸易的11个国家为研究对象,从经济规模、距离、技术、合同类型、定价方式、政策这6个层面设定变量,利用2006-2014年中国进口LNG总量以及与中国LNG进口量影响因素相关的面板数据建立贸易引力模型,考察中国LNG进口的影响因素,对贸易伙伴国按照所签订的合同类型进行分类,测算其贸易潜力。研究表明:（1）签订长期合同可以促进中国LNG进口,但国际油价却没有通过显著性检验,美国亨利中心天然气现货价格的上升会显著减少进口流量。（2）中国LNG进口量与中国人均GDP正相关,与贸易伙伴国的人均GDP负相关,与两国首都之间的距离没有显著性的统计关系。（3）“一带一路”战略对中国LNG进口流量具有正向效应,自由贸易协定、R&D经费支出占GDP的比例具有负面效应。（4）中国LNG更多地采用短期合同贸易形式,且与签订长期合同的贸易国相比,短期合同贸易国具有更大的贸易空间。     

国民经济动员链潜力释放机理研究

国民经济动员链是动员任务的载体,也是国民经济动员潜力释放的渠道与途径。国民经济动员链系统的运作机理表现为资源流动性、各参与部门间的相互链接关系,所以国民经济动员潜力建设应注重于资源间的依赖性与配套性,着重解决短板问题。同时应强化各参与者之间的合作机制建设、适应性和应变能力建设,着力提高国民经济动员链的系统效能。     

基于财政竞争力分析的福建省经济发展策略研究

财政对经济增长起着不可替代的促进作用,而财政竞争力也是经济综合竞争力的重要组成部分,分析福建省各地市的财政竞争力以寻找经济发展策略,对促进福建省经济有重大意义。本文对各地市财政收支现状进行初步比较,构建财政竞争力三级指标体系以分析财政竞争力水平,同时利用主成分因子得分分析财政竞争力与经济发展之间的关系。研究结果表明,厦门、福州及泉州财政竞争力较强,以这三个地市为例,从财政竞争实力和竞争潜力两个方面提出进一步提升财政竞争力的建议。     

Comparison of Interval Estimators of Pr(X < Y) in the Two-parameter Exponential Distribution

We consider confidence intervals for the stress–strength reliability Pr(X< Y) in the two-parameter exponential distribution. We have derived the Bayesian highest posterior density interval using non-informative prior distributions. We have compared its performance with the intervals based on the generalized pivot variable intervals in terms of their coverage probabilities and expected lengths. Our simulation study shows that the Bayesian interval performs better according to the criteria used, especially when the sample sizes are very small. An example is given.     

Mixed-effects Models with Skewed Distributions for Time-varying Decay Rate in HIV Dynamics

After initiation of treatment, HIV viral load has multiphasic changes, which indicates that the viral decay rate is a time-varying process. Mixed-effects models with different time-varying decay rate functions have been proposed in literature. However, there are two unresolved critical issues: (i) it is not clear which model is more appropriate for practical use, and (ii) the model random errors are commonly assumed to follow a normal distribution, which may be unrealistic and can obscure important features of within- and among-subject variations. Because asymmetry of HIV viral load data is still noticeable even after transformation, it is important to use a more general distribution family that enables the unrealistic normal assumption to be relaxed. We developed skew-elliptical (SE) Bayesian mixed-effects models by considering the model random errors to have an SE distribution. We compared the performance among five SE models that have different time-varying decay rate functions. For each model, we also contrasted the performance under different model random error assumptions such as normal, Student-t, skew-normal, or skew-t distribution. Two AIDS clinical trial datasets were used to illustrate the proposed models and methods. The results indicate that the model with a time-varying viral decay rate that has two exponential components is preferred. Among the four distribution assumptions, the skew-t and skew-normal models provided better fitting to the data than normal or Student-t model, suggesting that it is important to assume a model with a skewed distribution in order to achieve reasonable results when the data exhibit skewness.     

Exponentiality Test Based on the Progressive Type II Censoring via Cumulative Entropy

In this article, we use cumulative residual Kullback-Leibler information (CRKL) and cumulative Kullback-Leibler information (CKL) to construct two goodness-of-fit test statistics for testing exponentiality with progressively Type-II censored data. The power of the proposed tests are compared with the power of goodness-of-fit test for exponentiality introduced by Balakrishnan et al. (2007 Balakrishnan, N., Habibi Rad, A., Arghami, N.R. (2007). Testing exponentiality based on Kullback-Leibler information with progressively type-II censored data. IEEE Transactions on Reliability 56(2):301–307.[Crossref], [Web of Science ®] , [Google Scholar]). We show that when the hazard function of the alternative is monotone decreasing, the test based on CRKL has higher power and when the hazard function of the alternative is non-monotone, the test based on CKL has higher power. But, when it is monotone increasing the power difference between test based on CKL and their proposed test is not so remarkable. The use of the proposed tests is shown in an illustrative example.     

A New Quantile Function with Applications to Reliability Analysis

In this article, we propose a new class of distributions defined by a quantile function, which nests several distributions as its members. The quantile function proposed here is the sum of the quantile functions of the generalized Pareto and Weibull distributions. Various distributional properties and reliability characteristics of the class are discussed. The estimation of the parameters of the model using L-moments is studied. Finally, we apply the model to a real life dataset.     

An Improved Distribution-free EWMA Mean Chart

Control charts are effective tools for signal detection in both manufacturing processes and service processes. Much service data come from a process with variables having nonnormal or unknown distributions. The commonly used Shewhart variable control charts, which depend heavily on the normality assumption, should not be properly used here. In this article, we propose an improved asymmetric EWMA mean chart based on a simple statistic to monitor process mean shift. We explored the sampling properties of the new monitoring statistic and calculated the average run lengths of the proposed asymmetric EWMA mean chart. We recommend the proposed improved asymmetric EWMA mean chart because the average run lengths of the modified charts are more accurate and reasonable than those of the five existed mean charts. A numerical example of service times with a right skewed distribution from a service system of a bank branch is used to illustrate the application of the improved asymmetric EWMA mean chart and to compare it with the five existing mean charts. The proposed chart showed better detection performance than those of the five existing mean charts in monitoring and detecting shifts in the process mean.