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Asymptotic Expansions of the Distributions of Some Classification Statistics and the Probabilities of Misclassification when the Training Samples are Dependent.

机译：一类分类统计量分布的渐近展开及训练样本依赖时的误分类概率。

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摘要

Asymptotic expansions of the distributions of some classification statistics and associated probabilities of misclassification are considered for a two population classification problem when the population distributions follow a stationary Gaussian process. Special cases have been considered when the population distributions follow a first order autoregressive process and, in particular, the probabilities of misclassification is studied as a function of the measure of dependence between the two populations. (Author)

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作者
das gupta, somesh bandyopadhyay, shibdas;
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年度 1976
页码 1-27
总页数 27
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Classification; Population(Mathematics); Probability; Asymptotic series; Expansion; Statistical analysis; Normal distribution; Distribution functions; Regression analysis; Stationary; Gaussian quadrature; Theorems;

机译：分类;人口（数学）;概率;渐近系列;扩展;统计分析;正态分布;分布函数;回归分析;平稳;高斯积分;定理;

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1. Asymptotic Expansion for Sampling Distribution and Sample Size in Statistical Inference Ⅲ—The Modified Likelihood Ratio Λ-Test in the Noncentral Case [J] . MINORU SIOTANI, TAKASHI SEO, TOSHIYA IWASHITA Communications in Statistics. B, Simulation and Computation . 2005,第2期

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2. Asymptotic Distribution of Probabilities of Misclassification for Edgeworth Series Distribution (ESD) [J] . Awogbemi Clement Adeyeye Engineering Mathematics . 2020,第1期

机译：EdgeWorth系列分布（ESD）错误分类概率的渐近分布
3. Asymptotic expansions of the distributions of the chi-square statistic based on the asymptotically distribution-free theory in covariance structures [J] . Ogasawara H Journal of Statistical Planning and Inference . 2009,第9期

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4. TRANSFER THEOREM CONCERNING ASYMPTOTIC EXPANSIONS FOR THE DISTRIBUTION FUNCTIONS OF STATISTICS BASED ON SAMPLES WITH RANDOM SIZES [C] . Vladimir Bening, V. A. Savushkin, E. I. Shunkov, European Conference on Modelling and Simulation . 2014

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5. MISSING VALUES IN STATISTICAL ANALYSIS. (MODIFIED SAMPLING DISTRIBUTIONS,APPROXIMATE STATISTICAL ANALYSIS OF EXPERIMENTAL DATA AND ESTIMATION OF POPULATION PARAMETERS FROM FRAGMENTARY SAMPLES [D] . MATHAI, MATHAI ARAKAPARAMPIL. 1964

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6. The Statistics and Mathematics of High Dimension Low Sample Size Asymptotics [O] . Dan Shen, Haipeng Shen, Hongtu Zhu, -1

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7. Asymptotic expansions for distributions of the large sample matrix resultant and related statistics on the Stiefel manifold [O] . Chikuse Yasuko 1991

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Asymptotic Expansions of the Distributions of Some Classification Statistics and the Probabilities of Misclassification when the Training Samples are Dependent.

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