Forecasting and decomposition of portfolio credit risk using macroeconomic and frailty factors

This paper presents a dynamic portfolio credit model following the regulatory framework, using macroeconomic and latent risk factors to predict the aggregate loan portfolio loss in a banking system. The latent risk factors have three levels: global across the entire banking system, parent-sectoral for the intermediate loan sectors and sector-specific for the individual loan sectors. The aggregate credit loss distribution of the banking system over a risk horizon is generated by Monte Carlo simulation, and a quantile estimator is used to produce the aggregate risk measure and economic capital. The risk contributions of the individual sectors and risk factors are measured by combining the Hoeffding decomposition with the Euler capital allocation rule. For the U.S. banking system, we find that the real GDP growth rate, the global and sector-wide frailty risk factors and their spillovers significantly affect loan defaults, and the impacts of the frailty factors are not only economy-wide but also sector-specific. We also find that the frailty risk factors make more significant risk contributions to the aggregate portfolio risk than the macroeconomic factors, while the macroeconomic factors help to improve the accuracy and efficiency of the credit risk forecasts.     

Scoring rules and survey density forecasts

This article provides a practical evaluation of some leading density forecast scoring rules in the context of forecast surveys. We analyse the density forecasts of UK inflation obtained from the Bank of England’s Survey of External Forecasters, considering both the survey average forecasts published in the Bank’s quarterly Inflation Report, and the individual survey responses recently made available to researchers by the Bank. The density forecasts are collected in histogram format, and the ranked probability score (RPS) is shown to have clear advantages over other scoring rules. Missing observations are a feature of forecast surveys, and we introduce an adjustment to the RPS, based on the Yates decomposition, to improve its comparative measurement of forecaster performance in the face of differential non-response. The new measure, denoted RPS*, is recommended to analysts of forecast surveys.     

Disciplinary sanctions in English Premiership Football: Is there a racial dimension?

This paper assesses the evidence for a racial difference in both the dispensation of formal disciplinary sanctions and in the number of fouls called by referees in professional football. The study uses a unique dataset comprising player match-level information drawn from five recent seasons of the English Premiership. These data were merged with data from other sources to identify, among other things, the racial affiliation of the player across four separate categories (viz., white, black, mixed race, and Asian). No systematic evidence of an unfair treatment of players from the non-white minority groups in respect of either the receipt of disciplinary cards or in the number of penalised fouls called by referees was detected.     

基于可靠度理论的现役框架结构的维修设计

现役建筑结构经过一段时间的使用，其抗力和荷载效应都与设计时的不同。本文根据实际情况，采用串联分析模型，计算结构体系的失效概率。并通过对结构体系的失效概率直接进行调整，实现对现役结构可靠度的维修设计。以此对结构的安全性进行评估，为框架结构的维修决策提供了依据。     

基于Moran过程的PPP项目承包商机会主义行为演化动态

在PPP项目中,由于政府部门和承包商的目标不一致以及信息不对称等原因的存在,使得在其全寿命周期过程中,承包商的机会主义行为屡见不鲜。本文基于随机演化博弈理论,建构基于Moran过程的博弈模型,旨在探讨推动PPP项目承包商不采取机会主义行为策略的有利条件。研究表明,承包商数目不断扩大,通过降低承包商之间的举报成本,增大惩处力度,可使降低机会主义行为发生概率的效果显著。进一步,借助数值算例,对研究结果进行验证并给出相应的管理对策。     

Comparison of Hypothesis Testing and Bayesian Model Selection

The main goal of both Bayesian model selection and classical hypotheses testing is to make inferences with respect to the state of affairs in a population of interest. The main differences between both approaches are the explicit use of prior information by Bayesians, and the explicit use of null distributions by the classicists. Formalization of prior information in prior distributions is often difficult. In this paper two practical approaches (encompassing priors and training data) to specify prior distributions will be presented. The computation of null distributions is relatively easy. However, as will be illustrated, a straightforward interpretation of the resulting p-values is not always easy. Bayesian model selection can be used to compute posterior probabilities for each of a number of competing models. This provides an alternative for the currently prevalent testing of hypotheses using p-values. Both approaches will be compared and illustrated using case studies. Each case study fits in the framework of the normal linear model, that is, analysis of variance and multiple regression.     

基于信息扩散理论的管道第三方破坏概率模型研究及应用

管道第三方破坏模型中引入信息扩散理论,给出了第三方破坏的概率预测模型,并进行了实例计算。结果表明该模型可以对管道第三方破坏做出有效的概率预测。     

随机利率下的复合Poisson-Geometric风险模型及破产概率

本文主要研究的是在随机利率下保费收入为复合Poisson-Geometric过程的风险模型,在随机利率为levy过程的情况下,得到了破产概率满足的积分方程,以及得到最终破产概率的上下界所满足的积分不等式,以此作为保险公司经营的预警信号更具有现实意义。     

初次分配也要贯彻公平原则

在我国国民收入初次分配中,实行了劳动力低成本政策,劳动分配率偏低.这既牺牲了劳动者的合法权益,直接造成了"收入差距悬殊"的现实;又导致低水平竞争和落后生产方式盛行.文章主张将"效率优先,兼顾公平"的原则贯彻到国民收入初次分配中去,既要解决初次分配中劳动者利益受损的问题,又要从初次分配环节先行减少过大的收入差距,为再分配最后解决公平问题创造条件.     

De Vetula: a Medieval Manuscript Containing Probability Calculations

De Vetula , a poem that contains probability calculations on the throw of three dice, was written in the mid-thirteenth century. The poem was widely circulated, read and quoted. There is strong evidence that some of the medieval readers clearly understood how the probability calculations were obtained. Based on the discussion given here, it is put forward that an elementary probability calculus was established and known in Europe from about the year 1250. A translation of the relevant section of the poem is given.