Moments and limiting distribution of a portfolio of whole life annuity policies

A dual random model of a portfolio of variable amount whole life annuity is set with the mth moment of the present value of benefits, and the respective expressions of the moments under the assumption that the force of interest accumulation function is Wiener process or Ornstein-Uhlenbeck process. Furthermore, the limiting distribution of average cost of this portfolio is discussed with the expression of the limiting distribution under the assumption that the force of interest accumulation is an independent increment process.

Physically literate and physically educated:A rose by any other name?

In the 2013 release of the U.S. National Physical Education Standards the term ＂physically literate＂ replaced ＂physically educated＂. Un- fortunately, most discourse within the profession about the term physically literate occurred primarily after its adoption. While we agree with the spirit and intent of the term, we feel it is essential to discuss not only what has been potentially gained but also lost. In our paper, we illustrate the similarity of the terms physically educated and physically literate and essentially, from a definitional perspective, find little difference--but are these terms interchangeable？ We provide a critical review of the standards and conclude that the change to physical literacy has produced a shift away from psychomotor outcomes to cognitive outcomes. Our concerns about this are many, but most importantly they are about the need to emphasize the ＂physical＂ in physical education （PE）. It is our belief that the key to elevating the profession and maintaining and increasing support for PE is in its ability to promote and provide physical activity. Without physical activity and physical fitness as main outcomes, PE increases its vulnerability to extinction as a standard part of the U.S. K-12 education curriculum.

Core Conceptions of the Theory of Self-cultivation in East Asian Confucian Philosophy

The present study examines the four core concepts that underpin the various theories of cultivation of East Asian Confucian philosophy： self （ji,已）, cultivation （xiu, 修）, transformation （hua, 化）, and nurture （yang,餋）. The discussion is divided into six sections. The first section, the introduction, explains the significance of the issue in question. The second section examines the substantial notion of ＂self＂ as expounded in the Confucian intellectual tradition and the corresponding concept of selthood or personhood. Confucianism stresses that （1） personal selthood is based on the freedom of subjectivity （subjective volition）, and （2） society＇s values and norms originate in this freedom of subjectivity. The third section discusses the functional concept of cultivation, focusing on the fact that in Confucian theories the terms ＂cultivation＂ and ＂body＂ are always combined to form the concept of ＂self-cultivation.＂ Moreover, Confucian thinkers tend to discuss the effort of self-cultivation in the context of a body-mind continuum. Indeed, they often use orientational metaphors in order to describe the efforts entailed by cultivation. The fourth section analyzes the linguistic setting and context of the functional concept of transformation within Confucian philosophy of the concrete self. The term ＂transformation＂ indicates clearly that Confucian philosophy is a transformative philosophy. The fifth section analyzes the functional concept of nurture, stressing that Confucius＇ two greatest followers, Mencius and Xunzi, represent two opposed approaches to nurturing. Meneius stresses that one should undertake the effort of ＂nurturing qi,＂ that is, produce culture through natural cultivation, while Xunzi advocates artificially instilling culture in order to discipline, tame, and order nature. Mencius and Xunzi both turn to the container metaphor in their discussions of self-cultivation. The article concludes that the various cultivation activities advocated by these two disparate Confucians are based on two assumptions： （1） the self coincides with the physical body, and （2） the physical self is steeped in and interactive with the cultural values of society. In sum, the functional concept of self-cultivation is an important pillar of Confucian theories of self-cultivation.

Lean Healthy Children with Short Stature Have Distinct Eating Patterns

Nutrition plays an essential role in normal linear growth in children. Knowledge of the eating styles and dietary consumption of healthy short children from developed countries is scarce. The aim of this study was to investigate the dietary patterns in idiopathic short stature （ISS） and relatively low weight children compared to children with normal stature and weight. This research is a case-control study of 86 pre-pubertal healthy children, mean age 5.9 ± 1.5 years. The study group comprised 43 ISS children; 43 age-matched children with normal stature and weight served as controls. Outcome measures included： dietary patterns and physical activity. The absolute daily average energy, protein and carbohydrate intake was significantly lower in the ISS children （P 〈 0.05）; after correcting for body surface area, no significant differences were found between groups. Intake of micronutrients calcium, iron, zinc, vitamin A and vitamin C, expressed as percentage from Recommended Dietary Allowance, was significantly lower in the ISS children （P 〈 0.05）, who had lower food responsiveness, higher satiety responsiveness, lesser enjoyment of food and were slower eaters （P 〈 0.001）. Physical activity was sedentary in both the ISS cases and controls. Our findings in healthy, pre-pubertal, relatively lean ISS children point to a distinct eating pattern with no alteration in physical activity. Understanding the differences in dietary intake and eating behaviors may be beneficial in the development of targeted nutritional intervention for lean ISS children.