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基于方向邻域的含噪图像上下文分类AI 解读

The directional neighborhoods approach (DNA) to classifying pixels and reconstructing images from remotely sensed noisy data is a newly proposed computer-intensive procedure that is partly Bayesian and partly data analytic. It uses the observational data to select an optimal, generally asymmetric, but relatively homogeneous neighborhood for contextually classifying pixels. A criterion for “homogeneity of neighborhood” is developed. DNA involves two stages: a zero-neighbor…

噪声图像上下文分类的方向邻域方法AI 解读

The directional neighborhoods approach (DNA) to classifying pixels and reconstructing images from remotely sensed noisy data is a newly proposed computer-intensive procedure that is partly Bayesian and partly data analytic. It uses the observational data to select an optimal, generally asymmetric, but relatively homogeneous neighborhood for contextually classifying pixels. A criterion for “homogeneity of neighborhood” is developed. DNA involves two stages: a zero-neighbor…

统计与计量经济学中的贝叶斯和似然方法：向乔治·A.巴纳德致敬的论文集AI 解读

Introduction. A Survey of George Barnard's Statistical Work. (D.V. Lindley). Foundations (Contributors: A.P. Dempster B.M. Hill J.S. Hodges D.A. Lane). Selected Applications (Contributors: S. Chib, S.R. Jammalamadaka, R.C. Tiwari L. Denby, R. Gnanadesikan, J.R. Kettenring, J.W. Suzansky S.E. Fienberg Y. Hiatovsky H. Tsurumi). Selected Inference Problems (Contributors: M.J. Bayarri, M.H. DeGroot L.D. Broemeling, M.S. Son, H.I. Hamdy C.-H. Chen, J.M. Dickey G.T. Duncan M.…

帕累托数据的贝叶斯估计与预测AI 解读

Data from a classical Pareto distribution are to be used to make inferences about the inequality and precision parameters. In addition, it is desired to predict the behavior of further observations from the distribution. Three typical data configurations are considered (iid and two types of censoring). Dependent conjugate prior analyses are reviewed and are compared with an analysis involving independent priors for the inequality and precision parameters. It is argued that…

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K 归一化平方误差损失下多个泊松参数的同时估计AI 解读

In this study, we consider the simultaneous estimation of the parameters of the distributions of $p$ independent Poisson random variables using the loss function $L_k(\lambda, \hat{\lambda}) = \sum (\lambda_i - \hat{\lambda}_i)^2/\lambda^k_i$ for a given positive integer $k$. New estimators are derived, which include the minimax estimators proposed by Clevenson and Zidek (1975), as special cases. The case when more than one observation is taken from some of the variables is…

Logistic回归与判别分析之间的选择AI 解读

Classifying an observation into one of several populations is discriminant analysis, or classification. Relating qualitative variables to other variables through a logistic cdf functional form is logistic regression. Estimators generated for one of these problems are often used in the other. If the populations are normal with identical covariance matrices, discriminant analysis estimators are preferred to logistic regression estimators for the discriminant analysis problem.…

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对“未决定”受访者进行推断的贝叶斯方法AI 解读

This article is concerned with the survey problem of estimating category probabilities when some of the subjects respond to sensitive questions in the “don't know,” “no opinion” or “undecided” category, to avoid stating their true beliefs. The suggested approach draws on the information obtained from subjects who respond in unambiguous categories on the main question of interest, and on subsidiary questions posed to the same subjects (possibly in the same survey). This…

单变量与多变量稳定分布的参数估计AI 解读

This paper proposes several methods of estimating parameters in stable distributions. All the methods involve sample characteristic functions. One of the methods which is based upon the method of moments is treated in some detail. Asymptotic normal distributions for the proposed moment estimators are provided. Moreover, all methods provide consistent estimators. The estimation problem is treated for both univariate and multivariate stable distributions.

相关 Student t 随机变量之比的分布AI 解读

The distribution of the ratio of correlated Student t-variates is of interest in problems in econometrics, and ranking and selection. The density of this ratio is derived and computer graphs of the density are given in terms of standardized variates. Fractiles are given for selected parameter values. It is shown that the distribution contains no moments.

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Behrens–Fisher 问题中两种检验程序的置信区间比较AI 解读

The procedures of Scheffé [4] and Welch [5] for testing equality of means of two normal populations are compared according to the expected lengths of the confidence intervals they yield, and a criterion is developed for deciding which of the two methods is better in any given situation. An expression for the expected length of the confidence interval for the Scheffé procedure was developed by Scheffé. Because of the asymptotic series nature of the Welch procedure, in this…

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