Testing the disturbance variance after a pre-test for a linear hypothesis on coefficients in a linear regression

In this paper, we examine the sampling performance of a two-stage test which consists of a pre-test for a linear hypothesis on regression coeffiecients followed by a main-test for a disturbance variance in a linear regression. It is shown that the actual size of the two-stage test can be well-controlled around the normal size if the suggested sizes presented in this paper are used in the pre-test. It is also shown that the two-stage test when the suggested sizes are used in the preferable to the usual test for the disturbance variable which incorporates no pre-test in terms of the power.     

Optimal designs for non-competitive enzyme inhibition kinetic models

In this paper, we present a new method for determining optimal designs for enzyme inhibition kinetic models, which are used to model the influence of the concentration of a substrate and an inhibition on the velocity of a reaction. The approach uses a nonlinear transformation of the vector of predictors such that the model in the new coordinates is given by an incomplete response surface model. Although there exist no explicit solutions of the optimal design problem for incomplete response surface models so far, the corresponding design problem in the new coordinates is substantially more transparent, such that explicit or numerical solutions can be determined more easily. The designs for the original problem can finally be found by an inverse transformation of the optimal designs determined for the response surface model. We illustrate the method determining explicit solutions for the D-optimal design and for the optimal design problem for estimating the individual coefficients in a non-competitive enzyme inhibition kinetic model.     

The ideas of conditional confidence in the simplest setting

A recently developed framework for comparing the properties of various conditional procedures is studied in detail in the setting of testing between two simple hypotheses, where the ideas are most transparent. In that setting, possible goodness criteria are considered, and illustrations are given. The conditional confidence methodology, unlike the Bayes, fiducial, and likelihood techniques, presents a measure of conclusiveness which has frequentist interpretability; and, unlike traditional Neyman-Pearson procedures, the measure is highly data-dependent.     

A numerical nonmetric approach for analyzing time series data

A numerical nonmetric approach to data analysis of periodic series with polytone trend is suggested. Estimation is made of thesmallest number of tone (monotone segments) possible for the trend. The seasonal component is estimated without need for first removing the (estimated) polytone trend. A computer program has been developed which enables analysis of arbitrary series, either by a prespecified length of period or by estimating the period length if not known in advance. Robustness of the proposed approach enables analysis of very short series, series with missing values, and other series with limitations that cannot be easily handled otherwise. In a separate appendix some empirical results obtained by this approach are compared with those from the X-ll program; this appendix will be sent upon request.     

逻辑函数XOS展开式和COD展开式的转换

在逻辑函数的XOS展开式和COD展开式的基础上,详细讨论了逻辑函数ej系数和gj系数间的关系, 并提出了两者的矩阵转换法,举例说明了转换过程.该方法揭示了ej系数和系数gj的内在联系,具有较好的实用性.     

西部10省份城乡居民恩格尔系数实证分析

对西部10省份城乡居民恩格尔系数、消费结构及食品支出结构的比较分析表明，恩格尔系数在衡量居民消费水平时存在横向比较和纵向比较的差异性，也受到统计资料的可获得性以及物价指数等因素的制约。据此，我们应该在提高恩格尔系数定量研究和计量模型设定时的准确性方面进行甄别并对其加以修正，这有利于设计出衡量具有特殊国情和不同经济发展阶段居民消费水平比较完整的指标，以更好地对不同地区居民消费水平进行较为精确的比较分析。     

正负系数中立型时滞微分方程有界正解的存在性

考虑正负系数中立型时滞微分方程（x（t）-P（t）x（t-τ））'＋Q（t）x（t-σ）－R（t）x（t-γ）＝0（*）本文获得了方程（*）存在有界正解的充分必要条件，本文结果回答了文献[1]中的公开问题3。     

一个新的拓扑指数与卤代芳烃化合物溶解度及分配系数的相关性

在分子价连接性指数的基础上 ,定义了分子中原子的价点价δyi 这一特征值 ,δyi=mi·Zi·(Zi-hi)·(8-Ni) hi 2ni [4·(Li+pi)·(ni-1 ) ].由δyi 建构的分子价连接性指数为nχy(n=0 ,1 ,2 ,… ) ,nχy=∑ (δi·δj·δk… ) -0 .5,其中 0阶指数为0 χy=∑ (δi) -0 .5,1阶指数为1χy=∑ (δiδj) -0 .5.将这种新的分子价连接性指数nχy 用于一些卤代芳烃定量结构—性能相关性(QSPR)研究 ,发现nχy 分别与卤代芳烃的水溶解度 -lgSw,正辛醇水分配系数 -lgKow有良好的线性关系 ,相关系数都在 0 .95以上 .所建构的模型 (QSPR)相关系数高 ,稳定性好 ,预测能力强     

高阶变系数微分方程的解

文章将高阶变系数线性常微分方程利用变量变换化为常系数线性常微分方程 ,进而得出高阶变系数线性微分方程的通解。     

多孔屏蔽腔体的耦合问题

研究了平面电磁波与带多孔的屏蔽腔体的耦合问题。利用等效原理和矩量法,推出导纳的广义网络矩阵方程,求出了在平面电磁波垂直入射下的带多孔矩形腔的屏蔽系数。计算了单孔、双孔的情况,并讨论了频率、孔位、孔径和孔的形状对屏蔽效果的影响。