The strong uniform convergence of multivariate variable kernel estimates

We show that sup, completely as, where f is a uniformly continuous density on are independent random vectors with common density f, and f_n is the variable kernel estimate Here H_ni is the distance between X_i and its kth nearest neighbour, K is a given density satisfying some regularity conditions, and k is a sequence of integers with the property that log asn     

Informal care substitution: what we don't know can hurt us

Empirical studies focusing on the relationship between formal and informal home care do little to quell the fears of policymakers that expanded access to public home care services will result in the withdrawal of informal support. A close examination of the studies designed to measure the withdrawal of informal support justifies this skepticism. Concerns about the withdrawal of informal care may hinder the introduction of more extensive home care benefits. Researchers have come some distance in trying to address this policy question. The conflicting nature of empirical findings, thus far, demonstrates that the answer depends heavily on how the question is framed, how home care is measured and over what time frame, and what sorts of analytic approaches are used to model the relationship between formal and informal community-based care. This article discusses these issues in greater detail and suggests strategies to address these problems in future research.     

Ultrasonometric profiling of incidence and risk of osteoporosis in rural women

BACKGROUND: It is estimated that over 200 million people worldwide have osteoporosis. The prevalence of osteoporosis is continuing to escalate with the increasingly aging population. The major complication of osteoporosis is an increase in fragility fractures leading to morbidity, mortality, and decreased quality of life. This investigation profiled the incidence and risk of osteoporosis in adult women from a rural setting using ultrasonic bone scanning technology. METHODS: Between 2001 and 2005, adult female subjects (n = 323) in the age range of 40-87 were drawn from an independent, community dwelling, convenience sample. Bone mineral density T-scores were evaluated using heel ultrasonometry. Demographic and risk factor data, Merck Osteoporosis Evaluation SCORE questionnaire data, and the Osteoporosis Risk Assessment questionnaire data were analyzed. RESULTS: Results of these scans indicate that 25% of the total population had a T-score < or = -1.0, implying a 1.5- to 2.0-fold increase in risk ratio of hip or spinal fracture for each standard deviational decrease. Age at menopause and weight had a positive correlation with T-scores. While the overall scores on the Merck SCORE questionnaire were inversely correlated to T-scores, no significant correlation was found between the Osteoporosis Risk Assessment questionnaire and T-score data. Additionally, women who had taken estrogen had significantly higher T-scores (p = 0.038) than those who had not. CONCLUSION: That approximately 25% of this sample has low bone mass or osteoporosis underscores the importance of early screening in order to develop preventative awareness and provide education on bone health management. This finding has particularly important ramifications, since the sample was rural women, who typically have limited access to diagnostic bone density procedures.     

Empowerment or Limitation? A Critical Exploration of American State Women-Owned Business Programs

Public Organization Review - Governments have a history of intervention in the market to aid small, minority, and women-owned businesses. This research explores women-owned business development...