Construction of Confidence Intervals for the IVIean of a Population Containing Many Zero Values

The likelihood ratio method is used to construct a confidence interval for a population mean when sampling from a population with certain characteristics found in many applications, such as auditing. Specifically, a sample taken from this type of population usually consists of a very large number of zero values, plus a small number of nonzero values that follow some continuous distribution. In this situation, the traditional confidence interval constructed for the population mean is known to be unreliable. This article derives confidence intervals based on the likelihood-ratio-test approach by assuming (1) a normal distribution (normal algorithm) and (2) an exponential distribution (exponential algorithm). Because the error population distribution is usually unknown, it is important to study the robustness of the proposed procedures. We perform an extensive simulation study to compare the percentage of confidence intervals containing the true population mean using the two proposed algorithms with the percentage obtained from the traditional method based on the central limit theorem. It is shown that the normal algorithm is the most robust procedure against many different distributional error assumptions.     

Generational conflict and provisions for the elderly in Hong Kong: The relevance of position‐based interest and values

Respect for the elderly and hence the associated rights support a generational contract. Nevertheless, the case of the recent debate on the universal retirement scheme in Hong Kong has raised concerns about its strength. We identify relevant items from the sixth wave of the World Values Survey to explore the orientations of different generations toward others. The analysis shows differences between younger and older generations. Regression analyses show that values are not significant in explaining the differences, but various positions, including sex, marital status, and education, and perceptions of the elderly are relevant. Such differences across generations might weaken the generational contract and potentially engender conflicts as shown in the recent debate about the retirement scheme. We suggest short‐ and long‐term interest calculations, informed by their positions, play a more significant role in policy discussions and decisions, rather than simply appealing to values.     

Equivalence of two conjectures on equitable coloring of graphs

A graph G is said to be equitably k-colorable if there exists a proper k-coloring of G such that the sizes of any two color classes differ by at most one. Let Δ(G) denote the maximum degree of a vertex in G. Two Brooks-type conjectures on equitable Δ(G)-colorability have been proposed in Chen and Yen (Discrete Math., 2011) and Kierstead and Kostochka (Combinatorica 30:201–216, 2010) independently. We prove the equivalence of these conjectures.     

Immigration,living arrangement and the poverty risk of older adults in Hong Kong

Using 2011 census data, this study investigated how living arrangement affects disparities in poverty between older adults (aged 65 and older) who migrated to Hong Kong from Mainland China and those who were born in Hong Kong. Our sample consisted of 29,987 immigrants and 9,398 natives, all of whom were ethnic Chinese and living in Hong Kong at the time of the census. We found higher poverty rates among older immigrants than among natives, a disparity that persisted even after adjusting for living arrangement, human capital characteristics, assimilation‐related variables, household composition and demographic characteristics. We also found that living arrangement moderated the impact of immigrant status on the poverty risk among older adults, and that the impact was due mainly to the number of earners in the household. The implications of our results with respect to poverty among older adults and anti‐poverty measures are discussed.     

Life Aspirations: Their Impact on Family and Work Conflict and Life Satisfaction in Hong Kong and Taiwan

Family and work conflict (F/WC) has gained prominence in developed economies in Asia as individuals are faced with the increased demands from work and families that are still considered very important. Hong Kong and Taiwan best illustrate the changing social and economic conditions that have given rise to this conflict. In these two societies, people have demonstrated a strong emphasis on work, even when it entails the sacrifice of family tasks and duties. An array of informal and formal services have been mobilized to allow people to fulfill their duties to work and family. Based on surveys conducted in Hong Kong and Taiwan in late 2009, this paper investigated F/WC and life satisfaction. Specifically, it examined changing life aspirations, both material and non‐material, as predictors of F/WC and life satisfaction. The surveys found that respondents had high aspirations for both their family and their work, and for both material and non‐material assets, and that they experienced high‐level F/WC. Based on the statistical analysis, we argue that minimizing the interference of family life on work and emphasizing non‐material life aspirations could promote better life satisfaction.     

Approximation algorithms for constructing required subgraphs using stock pieces of fixed length

Journal of Combinatorial Optimization - In this paper, we address the problem of constructing required subgraphs using stock pieces of fixed length (CRS-SPFL, for short), which is a new variant of...