论文检索

未知连接函数的测量误差回归：降维与数据可视化AI 解读

A general nonlinear regression problem is considered with measurement error in the predictors. We assume that the response is related to an unknown linear combination of a multidimensional predictor through an unknown link function. Instead of observing the predictor, we instead observe a surrogate with the property that its expectation is linearly related to the true predictor with constant variance. We identify an important transformation of the surrogate variable. Using…

用于数据可视化与降维的主 Hessian 方向：Stein 引理的另一应用AI 解读

Modern graphical tools have enhanced our ability to learn many things from data directly. With much user-friendly graphical software available, we are encouraged to plot a lot more often than before. The benefits from direct interaction with graphics have been enormous. But trailing behind these high-tech advances is the issue of appropriate guidance on what to plot. There are too many directions to project a high-dimensional data set and unguided plotting can be…

大边界区域下的核回归及其在多项式模型适合性检验中的应用AI 解读

It is well known that kernel regression estimators are subject to so-called boundary or edge effects, a phenomenon in which the bias of an estimator increases near the endpoints of the estimation interval. When the regression curve is linear or nearly linear, the requisite amount of smoothing is so great that the boundary region is effectively the entire estimation interval. Special boundary kernels are proposed here to deal with such cases. It is shown that the proposed…

用于曲面平滑与偏导数估计的预平均局部正交多项式估计量AI 解读

We propose a multivariate smoothing method based on products of localized orthogonal polynomial series estimators for a smooth regression surface in the fixed-design regression model. The estimation of partial derivatives is included. The proposed method provides for automatic and efficient boundary modifications near the edges of the surface, assuming that the boundary of the support of the regression function satisfies some regularity conditions. By allowing for a…

适应设计特征的非参数回归AI 解读

In this article we study the method of nonparametric regression based on a weighted local linear regression. This method has advantages over other popular kernel methods. Moreover, such a regression procedure has the ability of design adaptation: It adapts to both random and fixed designs, to both highly clustered and nearly uniform designs, and even to both interior and boundary points. It is shown that the local linear regression smoothers have high asymptotic efficiency…

非线性回归中的杠杆值与超杠杆AI 解读

Several measures of the leverage of an observation in a nonlinear regression model are defined and developed. In contrast to the upper bound on the leverage in a linear model, it is found that in a nonlinear model the leverage of an observation may exceed 1. Such a case is said to exhibit superleverage. Relationships between the leverage measures are explored, and several examples are developed to illustrate the proposed methodology.

存在缺失观测时的二次数据分析AI 解读

A data set having missing observations often is completed by using imputed values. Our objective is to improve the practice of secondary data analysis by looking at the interplay of different imputation techniques and different methods that secondary data analysts use when there are both observed and imputed values. Secondary data analysts typically either treat the completed data set as if it has only observed values or ignore the imputations and analyze only the observed…

农业调查中利用多年轮换抽样设计进行估计AI 解读

In the annual June Enumerative Surveys (JES) of the U.S. Department of Agriculture (USDA), the area frame sampling involves multiyear rotation designs with 20% replacement of sample units each year. Currently, USDA uses the latest year sample data almost exclusively in its estimation procedure. We propose that the multiyear sample survey data should be used for estimation of crop acreages and livestock. We develop a multiyear estimation method based on an analysis of…

重复访谈数据的质量：当前人口调查的应用AI 解读

The Current Population Survey (CPS) reinterview sample consists of two subsamples: (a) a sample of CPS households is reinterviewed and the discrepancies between the reinterview responses and the original interview responses are reconciled for the purpose of obtaining more accurate responses (i.e., response bias estimates), and (b) a sample of CPS households, nonoverlapping with sample (a), is reinterviewed “independently” of the original interview for the purpose of…

摘要暂缺

摘要暂缺

随机变量的二次型：理论与应用AI 解读

Textbook for a one-semester graduate course for students specializing in mathematical statistics or in multivariate analysis, or reference for theoretical as well as applied statisticians, confines its discussion to quadratic forms and second degree polynomials in real normal random vectors and matr

摘要暂缺

摘要暂缺

比率估计量的抗异常值替代方法AI 解读

Many techniques have been suggested to lower the impact of outliers on sample survey estimates. Outliers can be downweighted by winsorization; that is, by replacing extreme data points by a data-dependent or a predetermined value before calculating estimates. Another approach is to reduce the weight of outliers, from the inverse sampling fraction to 1, in the estimation of population characteristics. In this article the problem of estimating the population mean using…

复杂调查抽样中仅利用入样概率的条件一致估计量AI 解读

Predictive regression estimators using functions of the probability of selection π i , as covariates are studied as an alternative to classical p-weighting estimators for the finite population mean in complex sample surveys. Variance estimators are developed based on the relationship var(y i | π i ), where y, is the response and π i is the probability of selection. Extensions to cluster sample designs are outlined, and an example is given from the National Educational…

摘要暂缺

贝叶斯网络中的参数更新AI 解读

A Bayes network is a directed acyclic graph in which the links are quantified by fixed conditional probabilities and the nodes represent random variables. The primary use of the network is to provide an efficient method for updating conditional probabilities in the graph. We consider the consequences of using the network as the computational device for updating parameter estimates in the dynamic linear model, a discrete time Bayesian model. We show that using the network…

用于曲面平滑与偏导估计的预平均局部正交多项式估计量AI 解读

We propose a multivariate smoothing method based on products of localized orthogonal polynomial series estimators for a smooth regression surface in the fixed-design regression model. The estimation of partial derivatives is included. The proposed method provides for automatic and efficient boundary modifications near the edges of the surface, assuming that the boundary of the support of the regression function satisfies some regularity conditions. By allowing for a…

摘要暂缺

存在缺失观测时的二次数据分析AI 解读

A data set having missing observations often is completed by using imputed values. Our objective is to improve the practice of secondary data analysis by looking at the interplay of different imputation techniques and different methods that secondary data analysts use when there are both observed and imputed values. Secondary data analysts typically either treat the completed data set as if it has only observed values or ignore the imputations and analyze only the observed…

农业调查中利用多年轮换抽样设计进行估计AI 解读

In the annual June Enumerative Surveys (JES) of the U.S. Department of Agriculture (USDA), the area frame sampling involves multiyear rotation designs with 20% replacement of sample units each year. Currently, USDA uses the latest year sample data almost exclusively in its estimation procedure. We propose that the multiyear sample survey data should be used for estimation of crop acreages and livestock. We develop a multiyear estimation method based on an analysis of…

再访数据的质量：当前人口调查的应用AI 解读

The Current Population Survey (CPS) reinterview sample consists of two subsamples: (a) a sample of CPS households is reinterviewed and the discrepancies between the reinterview responses and the original interview responses are reconciled for the purpose of obtaining more accurate responses (i.e., response bias estimates), and (b) a sample of CPS households, nonoverlapping with sample (a), is reinterviewed “independently” of the original interview for the purpose of…

线性回归模型中的贝叶斯估计与实验设计AI 解读

Estimation and Design as a Bayesian Decision Problem Choice of a Prior Distribution Conjugate Prior Distributions Bayes Estimation of the Regression Parameter Optimality and Robustness of the Bayes Estimator Bayesian Interpretation of Estimators Using Non-Bayesian Prior Knowledge Bayes Estimation in Case of Prior Ignorance Further Problems The Design Problem for the Linear Bayes Estimator Characterization of Optimal Designs Construction of Optimal Continuous Designs…