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含大小单元格计数的列联表分析方法AI 解读

The traditional practice has been to analyze contingency tables using asymptotic χ2 approximations for the tail probability of certain test statistics even when the approximation is known to be poor. For two-dimensional tables Pearson's X 2 statistic is most commonly used, whereas for multidimensional tables the likelihood ratio test is preferred because it makes it easy to test series of nested hypotheses. When asymptotic approximations are not adequate, exact tests are…

用于估计置换推断精确概率的重要性抽样AI 解读

This article discusses importance sampling as an alternative to conventional Monte Carlo sampling for estimating exact significance levels in a broad class of two-sample tests, including all of the linear rank tests (with or without censoring), homogeneity tests based on the chi-squared, hypergeometric, and likelihood ratio statistics, the Mantel—Haenszel trend test, and Zelen's test for a common odds ratio in several 2 × 2 contingency tables. Inference is based on randomly…

非线性指数族回归模型的极大似然与拟似然AI 解读

Linear and nonlinear exponential family and quasi-likelihood regression models form a class of models with a structure that invites using one algorithmic framework to compute parameter estimates and regression diagnostics. This framework extends our work on nonlinear least squares; it includes iteratively reweighted least squares but also encompasses secant updates for part of the Hessian matrix of the likelihood or quasi-likelihood function along with tests for when to use…

并行计算在统计推断中的应用AI 解读

Recent advances in parallel computation (e.g., Eddy and Schervish 1986; Gardner, Gerard, Mowers, Nemeth, and Schnabel 1986) have made it possible for a network of microcomputers to act together as a parallel processor using data-flow algorithms (see O'Leary and Stewart 1985). A data-flow algorithm is one in which the sequence of computations is not scheduled a priori, but rather is determined by the order in which computations are completed. Many statistical problems can be…

电话调查方法：抽样、受访者选择与监督AI 解读

INTRODUCTION Total Survey Error Telephone Surveying in Perspective The Telephone Phenomenon in the United States Basic Steps in the Telephone Survey Process Computer-Assisted Telephone Interviewing (CATI) Contents and Organization of This Text Additional Sources of Instruction on Survey Methodologies Exercises GENERATING TELEPHONE SURVEY SAMPLING POOLS Choosing a Valid Sampling Design Random Digit Dialing (RDD) Directory and List-Based Sampling Pools Mixed Mode Sampling…

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统计推断的渐近理论AI 解读

Probability and Stochastic Processes Limit Theorems for Some Statistics Asymptotic Theory of Estimation Linear Parametric Inference Martingale Approach to inference Inference in Non-Linear Regression Von-Mises Functionals Empirical Characteristic Function and Its Applications Index.

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针对一阶序列依赖的基于秩的随机性检验AI 解读

Optimal rank-based procedures were derived in Hallin, Ingenbleek, and Puri (1985, 1987) and Hallin and Puri (1988) for some fundamental testing problems arising in time series analysis. The optimality properties of these procedures are of an asymptotic nature, however, whereas much of the attractiveness of rank-based methods lies in their small-sample applicability and robustness features. Accordingly, the objective of this article is twofold: (a) a study of the…

半参数模型中的极小极大估计AI 解读

The statistical analysis of multidimensional data has been greatly influenced by the widespread use of computer-intensive smoothing techniques. These techniques allow one to look at the dependency of a response on several covariates without actually specifying the exact form of that dependency. Nevertheless, when the response's dependency on some subset of the covariates can be assumed to be, say, linear, common sense dictates incorporating this assumption into the…

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含大、小单元格计数的列联表分析方法AI 解读

The traditional practice has been to analyze contingency tables using asymptotic χ2 approximations for the tail probability of certain test statistics even when the approximation is known to be poor. For two-dimensional tables Pearson's X 2 statistic is most commonly used, whereas for multidimensional tables the likelihood ratio test is preferred because it makes it easy to test series of nested hypotheses. When asymptotic approximations are not adequate, exact tests are…

并行计算在统计推断中的应用AI 解读

Recent advances in parallel computation (e.g., Eddy and Schervish 1986; Gardner, Gerard, Mowers, Nemeth, and Schnabel 1986) have made it possible for a network of microcomputers to act together as a parallel processor using data-flow algorithms (see O'Leary and Stewart 1985). A data-flow algorithm is one in which the sequence of computations is not scheduled a priori, but rather is determined by the order in which computations are completed. Many statistical problems can be…

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环境污染监测的统计方法AI 解读

Environmental pollution studies may be divided into the following broad and somewhat overlapping types.1. Monitoring.Data may be collected (a) to monitor or to characterize ambient concentrations in environmental media (air, water, soil, biota) or (b) to monitor concentrations in air and water effluents.The purpose may be to assess the adequacy of controls on the release or containment of pollutants, Overview of the Design and Analysis Process 3give misleading results when…

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随机过程的极限定理AI 解读

I. The General Theory of Stochastic Processes, Semimartingales and Stochastic Integrals.- II. Characteristics of Semimartingales and Processes with Independent Increments.- III. Martingale Problems and Changes of Measures.- IV. Hellinger Processes, Absolute Continuity and Singularity of Measures.- V. Contiguity, Entire Separation, Convergence in Variation.- VI. Skorokhod Topology and Convergence of Processes.- VII. Convergence of Processes with Independent Increments.- VIII.…

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