Simultaneous bootstrap confidence bands in regression

We suggest pivotal methods for constructing simultaneous bootstrap confidence bands in regression. Most attention is given to the problem of simple linear regression, but our techniques admit trivial extension to other cases, including polynomial regression. The advantages of our bootstrap approach are twofold. Firstly, the bootstrap allows a very general distribution for the errors, and secondly, it admits a wide variety of shapes for the confidence band. In our technique the shape of each envelope of the band is determined by a general template, chosen by the experimenter, and bootstrap methods are used to select the scale of the template.     

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.     

Ridge regression estimators in the linear regression models with non-spherical errors

The present paper considers a family of ordinary ridge regression estimators in the linear regression model when the disturbances covariance matrix depends upon a few unknown parameters. An asymptotic expansion for the distribution of the ridge regression estimator is developed and under the quadratic loss function its asymptotic risk is compared with that of the feasible GLS estimator.     

A test for bivariate symmetry based on the empirical distribution function

Hollander (1970) proposed a conditionally distribution-free test of bivariate symmetry based on the empirical distribution function. In this paper Hollander’s test statistic is examined In greater detail: in particular; its conditional asymptotic distribution is derived under the null hypothesis as well as under a sequence of local alternatives. Percentage points of the asymptotic distribution are presented; a power comparison between Hollander’s statistic and the likelihood ratio criterion in testing a variant of the sphericity hypothesis in multivariate analysis is made.     

A new special class of peb designs

A new class of partially efficiency-balanced designs is introduced from a practical point of view. This new design includes all equireplicated incomplete block designs available in literature as special cases. The fundamental properties of the design are clarified with relation to other block designs.     

老子“道”和“德”的自然本质及其辩证关系

老子的"道",主要指形成世界的本原,决定万物的本体,宇宙运动变化的根本规律;而老子的"德",其广义是指万事万物合"道"而行的品性,其狭义则指人的合"道"而行的品性。"自然"是老子"道"与"德"的本质特征。"道"生万物,"德"养万物","道"体"德"用,二者辩证统一于万物之中。老子哲学的主要意蕴就是依"道"而立"德"、立"德"而明"道"。老子对"道"的预设与描述体现出老子哲学理论思维的形上视域,老子对"德"的揭示与规定标志着老子哲学实践关怀的形下向度。     

高等农业院校“非农”专业扩展趋势分析

我国高等农业院校专业设置已经从原来的单科型转变为多科型,人文社科专业的扩展使这种趋势更加明显,但在专业扩展中也面临着一些不容忽视的问题。在多数农业院校中,人文社科专业基础依然薄弱,尚未构成完整的学科体系;另一方面,“多科性”并不代表“全科型”,要防止把农业院校办成全科型高校的倾向。正确认识并着力解决这些问题,是农业院校在市场经济条件下持续发展的重要保证。     

ASYMPTOTIC EXPANSIONS APPLIED TO F-TEST CRITERIA

Using asymptotic expansions of the Kummer hypergeometric function, the sequential. F-test criterion is evaluated asymptotically in terms of the sample size. The continuation region inequalities for the test are inverted and expressed in terms of known test criteria. A rapidly converging algorithm for carrying out the sequential procedure is provided. This makes the F-test easier for the practitioner to use. Almost sure finite termination of the sequential. F-test is asserted by appealing to the continuation inequalities and a heuristic asymptotic expansion of the test criterion. Average stopping times of the sequential procedure for a variety of population means and population number configurations are tabulated. The computer symbolic manipulation program MAPLE was used to derive some formulae.     

消除数字鸿沟,构筑和谐网络环境——兼谈高校图书馆的作用与举措

数字鸿沟,是不同国家、地区差异而造成知识分隔和贫富分化现象,它已成为一个危及社会的重大问题,应采取扩大招生,构筑图书馆和谐的网络环境等措施,来消除数字鸿沟。