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Rerandomization Inference on Regression and Shift Effects: Computationally Feasible Methods

回归与位移效应的再随机化推断:计算可行的方法

An idea due to Quade (1973) is used to develop a method that reduces the computational load for rerandomization inferences in certain situations, and, for experiments carried out with a sufficiently small reference set of randomizations, makes computations entirely feasible. Consider an experimental design for N units for which an experimental plan E is to be chosen randomly from a set of K plans. Plan E will assign treatment dosage dE,u to unit u with postulated additive…

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Analysis of Two-Factor Experiments under an Inverse Gaussian Model

逆高斯模型下双因素实验的分析

This article treats the analysis of factorial experiments under an inverse Gaussian distribution for the failure times. A reciprocal-linear model for the factor effects is motivated from the context of the underlying Wiener process. Explicit solutions to the likelihood equations are derived, and important properties such as strong consistency and limiting normality are established. A least squares approach using the reciprocals of the sample cell means is also studied and…

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Calibration, Sufficiency, and Domination Considerations for Bayesian Probability Assessors

贝叶斯概率评估者的校准、充分性与支配关系

DeGroot and Fienberg (1982a) recently considered various aspects of the problem of evaluating the performance of probability appraisers. After briefly reviewing their notions of calibration and sufficiency we introduce related ideas of semicalibration and domination and consider their relationship to the earlier concepts. We then discuss some simple Bayesian mechanisms for making probability assessments and study their calibration, semicalibration, sufficiency, and…

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Empirical Bayes Estimation of Rates in Longitudinal Studies

纵向研究中变化率的经验贝叶斯估计

The usually irregular follow-up intervals in epidemiologic studies preclude the use of classical growth curve analysis. For short follow-up intervals, it is suggested that individual rates of change are useful for exploratory analysis. Empirical Bayes estimates of these rates of change are recommended and developed. An example of bone loss with age in women is also given.

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The Set of Weighted Regression Estimates

加权回归估计的集合

We present in this article several results that characterize the set of all weighted regressions. The set of weighted regression estimates is the set of all generalized least squares estimates for covariance matrices that have positive weights on the diagonal and have zeroes elsewhere. The study of sets of estimates is a method for dealing with distributional uncertainty, which does not require the strong assumption of a particular distribution. We show that the set of…

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Analysis of Two-Factor Experiments Under an Inverse Gaussian Model

逆高斯模型下的双因素实验分析

This article treats the analysis of factorial experiments under an inverse Gaussian distribution for the failure times. A reciprocal-linear model for the factor effects is motivated from the context of the underlying Wiener process. Explicit solutions to the likelihood equations are derived, and important properties such as strong consistency and limiting normality are established. A least squares approach using the reciprocals of the sample cell means is also studied and…

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Calibration, Sufficiency, and Domination Considerations for Bayesian Probability Assessors

贝叶斯概率评估的校准、充分性与支配关系

DeGroot and Fienberg (1982a) recently considered various aspects of the problem of evaluating the performance of probability appraisers. After briefly reviewing their notions of calibration and sufficiency we introduce related ideas of semicalibration and domination and consider their relationship to the earlier concepts. We then discuss some simple Bayesian mechanisms for making probability assessments and study their calibration, semicalibration, sufficiency, and…

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Stationary Random Processes Associated With Point Processes.

与点过程相关联的平稳随机过程

1 Preliminaries.- 1 Introduction.- 2 Some notations and conventions.- 3 Ergodic theory - discrete parameter.- 4 Ergodic theory - continuous parameter.- 5 Stationary random elements.- 6 Loynes' lemma.- 7 Queues.- Notes.- 2 Discrete time r.p.@ p.p..- 1 Basic concepts.- 2 Construction of stationary processes.- 3 First and second type relations.- 4 Applications in queueing theory.- Notes.- 3 Continuous time r.p.@ m.p.p..- 1 Random process associated with marked point process.- 2…

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A Note on Pooling Variances

关于方差合并估计的一个注记

The estimation of variance in the normal distribution is studied under statistical inference based on conditional specification. When there are two samples available for estimating the variance and it is not certain whether the two samples are from the same population, the experimenter usually uses a test to resolve the uncertainty. When the test is not significant, the samples are pooled to obtain a pooled estimator; otherwise, the individual sample variance is used. The…

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