Asymptotic expaxsioxs for the joint distribution of cirrelated hotellings t2 statlstics under normality

Let T² _i=z′_iS^?1z_i, i==,…k be correlated Hotelling's T² statistics under normality. where z=(z′_i,…,z′_k)′ and nS are independently distributed as N_kp((O,ρ?∑) and Wishart distribution W_p(∑, n), respectively. The purpose of this paper is to study the distribution function F(x₁,…,x_k) of (T² _i,…,T² _k) when n is large. First we derive an asymptotic expansion of the characteristic function of (T² _i,…,T² _k) up to the order n^?2. Next we give asymptotic expansions for (T² _i,…,T² _k) in two cases (i)ρ=I_k and (ii) k=2 by inverting the expanded characteristic function up to the orders n^?2 and n^?1, respectively. Our results can be applied to the distribution function of max (T² _i,…,T² _k) as a special case.     

The efficacy and safety of short-acting testosterone ointment (Glowmin) for late-onset hypogonadism in accordance with testosterone circadian rhythm

Introduction: It is well known that there is a reduction of circadian rhythm in blood testosterone levels with aging. Our previous report revealed that 3?mg of short-acting testosterone ointment (Glowmin: GL) elevated serum testosterone levels to within the physiological range for 4–6?h. The aim of this study was to clarify the clinical efficacy and safety of GL used topically once every morning, to enhance the circadian rhythm of testosterone, for late-onset hypogonadism (LOH).

Methods: A total of 61 LOH patients received 3?mg of GL topically once a day in the morning on scrotal skin for 24 weeks. The clinical efficacy of GL was evaluated by the aging males symptoms (AMS) scale, and blood sampling tests were measured before and after GL treatment.

Results: Mean patients age was 55.3?±?9.2 years old. Total AMS scores at 4, 12, and 24 weeks after GL treatments significantly decreased. The results of sub-analysis of AMS, including psychological, physical, and sexual factors also significantly improved after GL treatments. No severe adverse reactions or abnormal laboratory data were reported.

Conclusions: This study shows that TRT for LOH with once daily GL treatment supports testosterone circadian rhythm and should be considered to be an effective and safe therapy for LOH.     

Simultaneous confidexce intervals in an extended crow iii curve model

This paper deals with estimation problems under an extended growth curve model with two hierarchical within-individuals design matrices. The model in cludes the one whose mean structure consists of polynomial growth curves with two different degrees. First we propose certain simple estimators of the mean and covariance parameters which are closely related to the MEE's. Some basic properties of the estimators are given. Simultaneous confidence intervals are constructed, based on the estimators, for each and both of two growth curves. We give asymptotic approximations for the corresponding critical points. A numerical example is also given.     

Alternative Medicine and Herbal Use Among University Students

Abstract

Objective: This study sought to (1) examine perceived stress and resources to cope with stress as predictors of emotional eating during the transition to college and (2) determine whether body mass index (BMI) moderated the emotional eating-stress relationship. Participants: Participants were 97 college freshmen (73% female; BMI: M = 25.3 kg/m², SD = 5.7 kg/m²). Research was conducted in September 2012. Methods: Participants completed the Perceived Stress Scale, Emotional Eating Scale, and Eating and Appraisal Due to Emotions and Stress Questionnaire during the first month of college. Height and weight were measured objectively. Results: BMI moderated the relationship between perceived stress and emotional eating. Higher stress predicted greater emotional eating for the lower BMI groups, but not the highest group. Greater resources to cope with stress predicted lower emotional eating. Conclusions: Greater perceived stress and poorer resources to cope with stress may contribute to emotional eating during the transition to college. The relationship between perceived stress and emotional eating may vary by BMI.     

The effects on the distributions of sample canonical correlations under nonnormality

In this paper, we study the effects of nonnormality on the distributions of sample canonical correlations when the population canonical correlations are simple. In order to achieve the purpose, we derive asymptotic expansion formulas for the distributions of a function of the canonical correlations as well as the individual canonical correlations under nonnormal populations. We particularly discuss the distribution of sample canonical correlations under the class of elliptical population. These expansions are given by using a perturbation method. Simulation results are also given.     

SOME REMARKS ON THE MEAN, MEDIAN, MODE AND SKEWNESS

Many sufficient conditions for inequalities about the mean, median, mode and skewness have been obtained. The paper presents a theorem that unifies already known results, gives some counter-examples, and considers the cases of Pearson distributions.     

Spatio-temporal distribution patterns of two tachinid flies,Epicampocera succincta andCompsilura concinnata parasitizingPieris

Summary Larvae of genusPieris in the northern part of Kyoto City are parasitized by two tachinid flies:Epicampocera succincta, a specialist on genusPieris, andCompsilura concinnata, a generalist with very wide host-range. We surveyed the parasitism rates ofPieris by both flies for two years at six study areas. In these study areas, there lived three host species in the genusPieris: P. rapae, P. melete, andP. napi, but neither tachinid parasitizedP. napi to any significant extent. In the mountainous district,P. rapae andP. melete coexisted and their populations were relatively continuous, while in the lowland, onlyP. rapae larvae were abundant in spring and autumn, but even they disappeared in summer. Parasitisms byE. succincta occurred mainly in mountainous district and never in the lowland.C. concinnata parasitizedPieris in all the areas, but its parasitisms occurred mainly in autumn. We analyzed the factors affecting the spatial and temporal patterns of parasitism rates and presumed that the temporal discontinuity of host population restricted the distribution of the specialist parasitoid.     

Play Theory of Delinquency: Toward a General Theory of “Action”

This article presents an exploratory conceptual framework for the understanding and analysis of the “play” quality of delinquency by reviewing urban ethnographies treating the relationship between group delinquency and play. An examination of interpretations of the causal mechanism of “action” shows that situation-specific definitions of the situation or “frames” rather than self-sustaining and autonomous (sub)cultural imperatives regulate the active pursuits of youths. This article argues that playlike deviance arises when there is a precarious balance between the playlike definitions of the situation and the definitions of the situation associated with the primary reality. Collective encouragement, intense involvement, and a challenge to reach the limit are mentioned as three elements of action that lead to fatal and irrevocable consequences.