A target distribution model for nonparametric density estimation

In this paper a model is proposed which represents a wide class of continuous distributions. It is shown how the parameters of this model can be estimated leading to a distribution estimator and a corresponding density estimator. An important property of this estimator is that it can be structured to reflect a priori knowledge of the unknown distribution.

Finally, some examples are shown and some comparisons made with kernel and orthogonal series estimators.     

指称脖子的词语及其历史演变

人体部位词语属于基本词汇,大多数为常用词,有些在历史上发生了很大变化,对这部分词语历史演变的描写和相关现象的研究,有助于汉语词汇史和历史词汇学的建立。通过详细考察表示脖子的词语在汉语史上的发展演变,既可了解概念脖子如何改变名称,又可探讨人体部位词语演变过程中的词义转移、认知投射等相关问题。     

人称指示的语用投射及其交际功能

采取韩礼德的人际功能视角研究人称指示的语用投射现象及其交际功能,扩展了对人称指示语用投射的理解,将所有违背指示自我中心性的称呼认定为语用投射,揭示了其蕴涵的丰富的人际意义并发现了其实施的多种交际功能,比如语用含蓄和拉近会话双方交际距离的功能等等,最后分析了人称指示语用投射产生的机理,认为移情是其产生的主要心理动机。     

开放区域的人口分组要素组合预测

随着经济发展和区域开放程度的提高,传统的区域人口预测方法已不合时宜。本文依据人口平衡方程,运用人口分要素组合预测法,阐述了开放区域人口预测的基本方法和步骤,从而为具体的人口预测工作提供思路借鉴。     

尺度重双正交紧支撑多小波的构造

研究了多小波的构造算法,利用多分辨分析和双正交理论,给出了尺度重双正交多小波;再结合矩阵理论,得到双正交多小波的两尺度矩阵序列;最后通过矩阵的正交扩充给出了一种构造尺度重紧双正交支撑多小波的算法。     

大流动性再生混凝土和易性的正交试验研究

结合国外再生骨料混凝土配合比的最新研究,利用正交试验方法研究了天然粗骨料掺量比率、粉煤灰掺量、减水剂掺量对新拌大流动性再生骨料混凝土和易性的影响。结果表明,随着天然粗骨料掺量比率的增加,新拌混凝土的和易性得以改善;粉煤灰与减水剂掺量的增加可以加大混凝土拌合物的塌落度,但对其粘聚性和保水性产生不利影响,减水剂掺量影响更大。通过正交分析,提出了适合大流动性再生骨料混凝土的最佳配合比。     

Information,ancillarity, and sufficiency in the presence of nuisance parameters

The Fisher information about parameters of interest (P-information) is invariant with respect to nuisance parameters, and induces an information inequality associated with likelihood factorization. This information inequality provides a natural basis for measuring information loss due to using only a sublikelihood function for inference. In contrast with the global reparametrization of some previous concepts in the literature, the concepts of P-ancillarity and P-sufficiency proposed in this article are characterized by the notion of no pointwise information loss with respect to the parameters of interest. A conditional version of P-sufficiency is also proposed. The asymptotic efficiency of likelihood inference under P-ancillarity or P-sufficiency is outlined.     

Some criteria for projection pursuit

The idea of searching for orthogonal projections, from a multidimensional space into a linear subspace, as an aid to detecting non-linear structure has been named exploratory projection pursuit.Most approaches are tied to the idea of searching for interesting projections. Typically, an interesting projection is one where the distribution of the projected data differs from the normal distribution. In this paper we define two projection indices which are aimed specifically at finding projections that best show grouped structure in the plane, if this exists in the multi-dimensional space. These involve a numerical optimization problem which is tackled in two stages, the projection and the pursuit; the first is based on a procedure to generate pseudo-random rotation matrices in the sense of the grand tour by D. Asimov (1985), and the second is a local numerical optimization procedure. One artificial and one real example illustrate the performance of the suggested indices.     

NONPARAMETRIC ESTIMATION OF ANGULAR DISTRIBUTIONS FROM CARTESIAN OBSERVATIONS WITH ERROR

If angular data are obtained from Cartesian observations, then any measurement error in these observations will produce a particular error structure in the angular data. The paper shows how non-parametric density estimation by orthogonal series may be performed in this case.     

Pairwise orthogonal F-rectangle designs

The concept of pairwise orthogonal Latin square design is applied to r row by c column experiment designs which are called pairwise orthogonal F-rectangle designs. These designs are useful in designing successive and/or simulataneous experiments on the same set of rc experimental units, in constructing codes, and in constructing orthogonal arrays. A pair of orthogonal F-rectangle designs exists for any set of v treatment (symbols), whereas no pair of orthogonal Latin square designs of order two and six exists; one of the two construction methods presented does not rely on any previous knowledge about the existence of a pair of orthogonal Latin square designs, whereas the second one does. It is shown how to extend the methods to r=pv row by c=qv column designs and how to obtain t pairwise orthogonal F-rectangle design. When the maximum possible number of pairwise orthogonal F-rectangle designs is attained the set is said to be complete. Complete sets are obtained for all v for which v is a prime power. The construction method makes use of the existence of a complete set of pairwise orthogonal Latin square designs and of an orthogonal array with vⁿ columns, (vⁿ−1)/(v−1) rows, v symbols, and of strength two.