Density estimation for samples satisfying a certain absolute regularity condition

Let {ξ_i} be an absolutely regular sequence of identically distributed random variables having common density function f(x). Let H_k(x,y) (k=1, 2,…) be a sequence of Borel-measurable functions and f_n(x)=n^?1(H_n(x,ξ₁)+…+H_n(x,ξ_n)) the empirical density function. In this paper, the asymptotic property of the probability P(sup_x|f_n(x)?f(x)|>ε) (n→∞) is studied.     

An Integral Bhattacharyya Type Bound for the Bayes Risk

In this article, some results are derived on stochastic comparisons of the residual and past lifetimes of an (n ? k + 1)-out-of-n system with dependent components. These findings generalize some recent results obtained on systems with independent components and provide some interesting results for a system with dependent components following an Archimedean copula. An illustrative example is provided.     

A lower bound for the bayes risk in the sequential case

A lower bound for the Bayes risk in the sequential case is given under the regularity conditions. A related result to the minimax risk is also discussed. Further. some examples are given for the exponential and Poisson distributions.     

日本文化的异种杂交特质

日本文化没有“固定的本质”,具有异种杂交的特质。古代日本以中国文化为背景创造的日语汉字和假名文字,决定了其异种杂交的本质。明治以来对欧洲哲学思想词汇的翻译,实质上是对中国的汉字的重新组合。把日本语和日本文化还原为“一种本质”是不可能的。企图强调本国文化“本质”的“本质主义的”、“民族主义的”的美学理论和教育,都是注定失败的。     

比较美学:"本质主义"崩溃后的路向——岩城见一教授访谈-对谈录

在哲学的"语言论转向"后,形形色色的"本质主义"遮蔽了对艺术理解的多样性的事实昭然若揭.文艺复兴以后的"透视法"就是逐渐被构成主义构成的一个"本质主义".比起帕诺夫斯基和冈布里奇,艺术理论家布里秋鲜为人知,但是他的"A-U关系理论",使超越"透视法"这一"本质主义"成为可能."本质主义"崩溃后的21世纪"比较美学"要致力于总结人类开放的想象经验,充分认识那些不能仅仅在语言意义上理解的艺术表现方式的内在逻辑.     

Population aging, health care, and growth

This paper constructs a small open two-sector (health care and non-health care) overlapping generations model and investigates how changes in the demand for health care induced by population aging influence the economy’s employment structure and per capita income growth rate. We show that population aging induces a shift in labor from the non-health care sector to the health care sector and lowers the per capita income growth rate. This paper also investigates public policy for child care and demonstrates the existence of an intergenerational conflict between current and future generations concerning public policy on child care.     

An estimator for the cumulative co‐volatility of asynchronously observed semimartingales with jumps

In this paper, we consider two semimartingales sampled at stopping times in an asynchronous manner. We are interested in estimating their cumulative co‐volatility separately from the sum of their co‐jumps. For this purpose, we combine the Hayashi–Yoshida method (to deal with the asynchronicity) with the threshold technique (to separate the jumps) and consider a class of statistics called the truncated Hayashi–Yoshida estimator. We prove the consistency and the asymptotic mixed normality of the truncated Hayashi–Yoshida estimator under some mild conditions allowing the presence of infinite activity jumps.     

Effects of 10-week walking and walking with home-based resistance training on muscle quality,muscle size,and physical functional tests in healthy older individuals

Background

Older individuals have been shown to present muscle atrophy in conjunction with increased fat fraction in some muscles. The proportion of fat and connective tissue within the skeletal muscle can be estimated from axial B-mode ultrasound images using echo intensity (EI). EI was used to calculate the index of muscle quality. Walking, home-based weight-bearing resistance training, and its combinations are considered simple, easy, and practical exercise interventions for older adults. The purpose of this study was to quantify the effects of walking and walking with home-based resistance training on muscle quality of older individuals.

Methods

Thirty-one participants performed walking training only (W-group; 72?±?5?years) and 33 participants performed walking and home-based resistance training (WR-group; 73?±?6?years). This study was a non-randomized controlled trial with no control group. All participants were instructed to walk 2 or 3 sets per week for 10?weeks (one set: 30-min continuous walking). In addition, the WR-group performed home-based weight-bearing resistance training. EI was measured as a muscle quality index using axial B-mode ultrasound images of the rectus femoris and vastus lateralis of the mid-thigh. We further averaged these parameters to obtain the EI of the quadriceps femoris (QF). Participants further performed five functional tests: sit-ups, supine up, sit-to-stand, 5-m maximal walk, and 6-min walk.

Results

QF EI was significantly decreased in both groups after training (W-group 69.9?±?7.4?a.u. to 61.7?±?7.0?a.u., WR-group 64.0?±?9.5?a.u. to 51.1?±?10.0?a.u.; P?<?0.05), suggesting improved muscle quality. QF EI was further decreased in the WR-group compared with the W-group. The sit-up test in both groups and the sit-to-stand and 5-m maximal walk tests in the W-group were significantly improved after training.

Conclusion

These results suggest that training-induced stimulation is associated with a decrease in EI in some thigh regions. Furthermore, the addition of home-based resistance training to walking would be effective for a greater reduction of EI.