On religious freedom and civic learning

In this article I look at the issue of religious freedom in today's world. It is clear that religious and ethnic divisions have led to much bloodshed in recent years. I look at the implications that recent developments have for the way we educate in religion, religious tolerance and religious freedom.     

Negative binomial time series models based on expectation thinning operators

The study of count data time series has been active in the past decade, mainly in theory and model construction. There are different ways to construct time series models with a geometric autocorrelation function, and a given univariate margin such as negative binomial. In this paper, we investigate negative binomial time series models based on the binomial thinning and two other expectation thinning operators, and show how they differ in conditional variance or heteroscedasticity. Since the model construction is in terms of probability generating functions, typically, the relevant conditional probability mass functions do not have explicit forms. In order to do simulations, likelihood inference, graphical diagnostics and prediction, we use a numerical method for inversion of characteristic functions. We illustrate the numerical methods and compare the various negative binomial time series models for a real data example.     

Long-term Care in China: Issues and Prospects

One of the major socioeconomic challenges China faces is the rapid aging of its population. China is now an aging society, even though it is still regarded as a middle-income economy. Coupled with the market-driven reform of social services and rapid erosion of family support, the provision of affordable and accessible social care services to older people has already become an urgent issue for the government to address. Looking into the future, the formulation of a sustainable position on long-term care (LTC) will increasingly become the major focus of social policy. This article sets out the background to the demographic shifts resulting in the emerging need for LTC in China. It analyzes the issues facing LTC services and reviews their prospects, including the structure, operation, financing, and interfacing of residential and community-based home care services.     

Tail Behavior of the Failure Rate Functions of Mixtures

The tail behavior of the failure rate of mixtures of lifetime distributions is studied. A typical result is that if the failure rate of the strongest component of the mixture decreases to a limit, then the failure rate of the mixture decreases to the same limit. For a class of distributions containing the gamma distributions this result can be improved in the sense that the behavior of the failure rate of the mixture asymptotically mirrors that of the strongest component in whether it decreases or increases to a limit. This revised version was published online in July 2006 with corrections to the Cover Date.     

Developing a Social Protection Index for Asia

Social protection is increasingly seen as an important tool for poverty reduction, but to date there have been few quantitative cross‐country assessments of social protection provision. This article develops a social protection index that systematically and consistently quantifies activities at the national level. Four summary indicators representing the cost, coverage, poverty targeting and impact are scaled and weighted to produce an additive index of the overall level of social protection provision. The index is calculated for six very different Asian countries: Bangladesh, Indonesia, Mongolia, Nepal, Pakistan and Vietnam. Considerable contrasts are revealed between their levels of social protection provision.     

Standard errors for the parameters of graphical Gaussian models

The comparison of an estimated parameter to its standard error, the Wald test, is a well known procedure of classical statistics. Here we discuss its application to graphical Gaussian model selection. First we derive the Fisher information matrix and its inverse about the parameters of any graphical Gaussian model. Both the covariance matrix and its inverse are considered and a comparative analysis of the asymptotic behaviour of their maximum likelihood estimators (m.l.e.s) is carried out. Then we give an example of model selection based on the standard errors. The method is shown to produce almost identical inference to likelihood ratio methods in the example considered.