Income Share Elasticity and Stochastic Dominance

Income share elasticity is a function π which can describe the size distribution of income (Esteban in Intern Econ Rev 27:439–444, 1986). On the other hand, the conventional density representation of the latter gives parameters of first or second order stochastic dominance (SD), widely used to describe shifts in income distribution, to which inequality measures are attached. The paper draws a link between the two, by providing conditions such that a given shift to π is equivalent to a first or second order SD shift of the distribution of income. Some applications to Lorenz rankings are also provided.     

Introduction Private and Public: Gender,Generation and Family Life in Flux

In the past four decades, Hong Kong has seen a dramatic transformation of the social location of women in the public sphere, with deep and far-reaching ramifications for courtship, marriage, fertility, conceptions of parenthood, familial power, and equality and freedom. A sociology of the family is thus by necessity a sociology of women in particular, and of gender relations in general. Indeed, recent developments in research on marriage and the family in Hong Kong reflect this new awareness. Using rigorous sociological frameworks, this new line of research has begun to meet with some success in analyzing contemporary social issues that are prominent in the public consciousness. This essay reviews studies of four topical areas: determinants of the postponement of first marriage among women, the effect of live-in foreign domestic workers on family dynamics, violence against women and children in the family, and the livelihood strategies of cross-border families. These studies have attempted to integrate the interplay of the impact of a changing economy and society on the family and the role played by women in the family. The resulting dynamic interactions amongst the members within the family and the changes they bring about become propellants for change in the economy and society and pose new challenges. The family is indeed a troubled institution. It is so because myriad public issues are being taken on, confronted, worked through, and acted out within the family. The agony, and indeed the ecstasy, of the family is a reflection of the success, and failure, of society.     

Barriers to returning to work for people with spinal cord injuries: a focus group study

The rate of employment for people with spinal cord injuries is relatively low, especially among Asians. To help individuals with spinal cord injuries return to work or retain employment, rehabilitation professionals must understand the barriers to employment and intervene to reduce or remove them. Hence, a focus group study was administered to 16 people with spinal cord injuries to explore return to work barriers. Various ideas, beliefs, responses, and values at different stages of work resettlement were elicited from both employed and unemployed participants, and then summarized. According to the results, several modifications of existing forms of rehabilitation intervention are necessary, as are further research directions.     

Validation of the Chinese version of the Oswestry Disability Index

This study aimed to collect evidence on the structural and substantive validity, and test-retest reliability of the Chinese version of the Oswestry Disability Index (CODI). Seventy-nine patients suffering from chronic low back pain were assessed with the CODI. The results of explorative factor analysis primarily suggested a single-factor structure with nine out of 10 items (factor loading = 0.66-0.79). The sex life item was found to load on a different factor. The Cronbach's alpha of all 10 items was 0.81 (p<0.05). When the sex life item was removed from the analysis, the alpha value was increased to 0.89 (p<0.05). The test-retest reliability was estimated based on 56 participants who completed two administrations of CODI in 48 hours. The intraclass correlation coefficient (ICC) computed for the total CODI scores was 0.86 (95% C.I. = 0.81-0.91). The reliability estimated for the item scores using Kappa statistics ranged from a high of k=0.80 for the sitting item to a low of k=0.49 for the traveling item. Kappa statistics were not available for three items. The Chinese version of the Oswestry Disability Index demonstrated satisfactory validity and test-retest reliability, and so could be considered as an appropriate instrument for assessing chronic back pain-related disability in Chinese patients in Hong Kong. Further research should address the cross-cultural and measurement issues in regard to sex life in order to further improve the test content of the instrument.     

Explaining Official Delinquency: a Spatial Study of Class,Conflict and Control*

The correlation between social class and official delinquency is one of the more stable findings of sociological research. Consensus, conflict and organizational explanations of this correlation are examined with a coordinated set of survey, interview, and official data gathered in the central area of a middle-sized Canadian city. These data make possible the consideration of behavior and official rate-producing processes in a model that lends support to a combination of conflict and organizational perspectives. Consideration is given to the need for additional research using a similar frame-work in other types of community settings.     

Time Series Modeling of Degradation Due to Outdoor Weathering

Environmental variables have an important effect on the reliability of many products such as coatings and polymeric composites. Long-term prediction of the performance or service life of such products must take into account the probabilistic/stochastic nature of the outdoor weather. In this article, we propose a time series modeling procedure to model the time series data of daily accumulated degradation. Daily accumulated degradation is the total amount of degradation accrued within one day and can be obtained by using a degradation rate model for the product and the weather data. The fitted model of the time series can then be used to estimate the future distribution of cumulative degradation over a period of time, and to compute reliability measures such as the probability of failure. The modeling technique and estimation method are illustrated using the degradation of a solar reflector material. We also provide a method to construct approximate confidence intervals for the probability of failure.     

Statistical Properties of Threshold Models

This article focuses the attention on the Self Exciting Threshold Autoregressive Moving Average model (SETARMA) proposed in Tong (1983 Tong , H. ( 1983 ). Threshold Models in Nonlinear Time Series Analysis . London : Springer-Verlag .[Crossref] , [Google Scholar]). The stochastic structure of the model is discussed and different specifications are presented. Starting from one of them, we give sufficient conditions for the weak stationarity of the model that are discussed and critically compared to other results given in literature. In particular, after showing that the SETARMA model belongs to the class of the Random Coefficients Autoregressive models, widely discussed in Nicholls and Quinn (1982 Nicholls , D. F. , Quinn , B. G. (1982). Random Coefficients Autoregressive Models. An Introduction . New York : Springer-Verlag.[Crossref] , [Google Scholar]), we give some issues on the weak stationarity of its stochastic structure that are more general than those given in the existing literature and appear not affected by the moving average component.     

Discrimination of AR,MA and ARMA time series models

The problem of discrimination between two stationary ARMA time series models is considered, and in particular AR(p), MA(p), ARMA(1,1) models. The discriminant based on the likelihood ration leads to a quadratic form that is generally too complicated to evaluated explicitly. The discriminant can be expressed approximately as a linear combination of independent chi–squared random varianles each with one degree of freedom, the coefficients, of which are eigenvalues of cumbersome matrices. An analytical solution which gives the coefficients approximately is suggested.     

Darling–Erdős limit results for change-point detection in panel data

We wish to test the null hypothesis if the means of N panels remain the same during the observation period of length T. A quasi-likelihood argument leads to self-normalized statistics whose limit distribution under the null hypothesis is double exponential. The main results are derived assuming that the each panel is based on independent observations and then extended to linear processes. The proofs are based on an approximation of the sum of squared CUSUM processes using the Skorokhod embedding scheme. A simulation study illustrates that our results can be used in case of small and moderate N and T. We apply our results to detect change in the “corruption index”.