Flexible univariate and multivariate models based on hidden truncation

A broad spectrum of flexible univariate and multivariate models can be constructed by using a hidden truncation paradigm. Such models can be viewed as being characterized by a basic marginal density, a family of conditional densities and a specified hidden truncation point, or points. The resulting class of distributions includes the basic marginal density as a special case (or as a limiting case), but also includes an array of models that may unexpectedly include many well known densities. Most of the well known skew-normal models (developed from the seed distribution popularized by Azzalini [(1985). A class of distributions which includes the normal ones. Scand. J. Statist. 12(2), 171–178]) can be viewed as being products of such a hidden truncation construction. However, the many hidden truncation models with non-normal component densities undoubtedly deserve further attention.     

Least-square regularized regression with non-iid sampling

We study the least-square regression learning algorithm generated by regularization schemes in reproducing kernel Hilbert spaces. A non-iid setting is considered: the sequence of probability measures for sampling is not identical and the sampling may be dependent. When the sequence of marginal distributions for sampling converges exponentially fast in the dual of a Hölder space and the sampling process satisfies a polynomial strong mixing condition, we derive learning rates for the learning algorithm.     

Threshold Estimation for Stochastic Processes with Small Noise

Consider a process satisfying a stochastic differential equation with unknown drift parameter, and suppose that discrete observations are given. It is known that a simple least squares estimator (LSE) can be consistent but numerically unstable in the sense of large standard deviations under finite samples when the noise process has jumps. We propose a filter to cut large shocks from data and construct the same LSE from data selected by the filter. The proposed estimator can be asymptotically equivalent to the usual LSE, whose asymptotic distribution strongly depends on the noise process. However, in numerical study, it looked asymptotically normal in an example where filter was chosen suitably, and the noise was a Lévy process. We will try to justify this phenomenon mathematically, under certain restricted assumptions.     

基于C／S和B／S混合模式的多媒体电子阅览室管理系统设计

高职院校多媒体电子阅览室是用户获取信息和学习的重要场所,如何能进一步完善和发展它需要有效的管理系统和具有更高素质的管理队伍。从网络化、一体化、多元化的理念出发,采用三层C/S和B/S两种混合模式,在用户管理,资源管理,安全管理三个方面展开论述,为现代多媒体电子阅览室提出了方便实用、安全有效的管理系统设计方案,以供大家探讨。     

以学生学习为导向的小学语文作业设计探讨

教师的作业设计,从一个侧面体现了教师的教育思想、教育观念、教育追求,密切联系着学生的成长。小学语文作业设计应该回归教师设计原点,紧扣语文学科的特点,从学生的学习特点、学习需要出发,注重学生的语感培养和语文实践活动,达到提高学生的语文素养的目的。