论文检索

多项式回归斜率估计的最优设计AI 解读

The problem of estimating the slope of a polynomial regression at a fixed point of the experimental region such that (a) the variance of the least-square estimate of the slope at the fixed point is a minimum and (b) the average variance of the least-square estimate of the slope is a minimum is discussed in this paper. In general these designs can be obtained using Kiefer-Wolfowitz [5] characterization of c-optimal designs, Federov [2] characterization of L-optimal designs,…

极小极大实验设计AI 解读

When an experimenter is interested in more than one parameter in the regression model and tries to obtain a design that minimizes the maximum variance of the individual regression coefficients, he is looking for a minimax design with respect to the single parameter. In this article we explicitly present the minimax s.p. designs for the ordinary polynomial regression, when the degree is ≤4. For 5≤n ≤12 we present the minimax s.p. designs obtained through a computer. These are…

极小极大实验设计AI 解读

When an experimenter is interested in more than one parameter in the regression model and tries to obtain a design that minimizes the maximum variance of the individual regression coefficients, he is looking for a minimax design with respect to the single parameter. In this article we explicitly present the minimax s.p. designs for the ordinary polynomial regression, when the degree is ≤4. For 5≤n ≤12 we present the minimax s.p. designs obtained through a computer. These are…

均匀分布样本最大值之比的分布AI 解读

When there is a priori knowledge that two samples have been drawn from rectangular populations with the same lower bounds, the hypothesis that both samples have been drawn from the same population can be tested by means of the quotient of the maximum values. The distribution of this statistic is derived, and its properties studied. Explicit expressions for the power function of the test are given, and the table of 5% values of the quotient is given for sample sizes up to…

均匀分布样本最大值之比的分布AI 解读

When there is a priori knowledge that two samples have been drawn from rectangular populations with the same lower bounds, the hypothesis that both samples have been drawn from the same population can be tested by means of the quotient of the maximum values. The distribution of this statistic is derived, and its properties studied. Explicit expressions for the power function of the test are given, and the table of 5% values of the quotient is given for sample sizes up to…