GENERALIZED DIVERGENCE MEASURES - INFORMATION MATRICES, AMOUNT OF INFORMATION, ASYMPTOTIC DISTRIBUTION, AND ITS APPLICATIONS TO TEST STATISTICAL HYPOTHESES

Pardo L.; Salicru M.; Menendez ML.; Morales D.

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GENERALIZED DIVERGENCE MEASURES - INFORMATION MATRICES, AMOUNT OF INFORMATION, ASYMPTOTIC DISTRIBUTION, AND ITS APPLICATIONS TO TEST STATISTICAL HYPOTHESES

机译：广义发散度量-信息矩阵，信息量，渐近分布及其在检验统计假设中的应用

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In this paper, a transformation of Csiszar's measures which generalizes the unified (r, s) measures defined by Sharma and Mittal and Taneja is presented. For these transformations, information matrices associated to a differential metric in the direction to the tangent space are obtained, as well as the amount of information resulting from parameter perturbation in the direction of coordinate axes. Finally, the asymptotic distribution of information matrices and the amount of information and its applications to test statistical hypotheses are obtained. [References: 28]

机译：在本文中，提出了Csiszar测度的一种转换，它概括了Sharma和Mittal和Taneja定义的统一（r，s）测度。对于这些变换，获得与在切线空间方向上的微分度量相关的信息矩阵，以及在坐标轴方向上由参数摄动产生的信息量。最后，获得了信息矩阵的渐近分布和信息量及其在检验统计假设中的应用。 [参考：28]

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《Information Sciences: An International Journal》 |1995年第4期|共18页
作者
Pardo L.; Salicru M.; Menendez ML.; Morales D.;
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正文语种 eng
中图分类自动化技术、计算机技术;
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Distance;

机译：距离;

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1. GENERALIZED DIVERGENCE MEASURES - INFORMATION MATRICES, AMOUNT OF INFORMATION, ASYMPTOTIC DISTRIBUTION, AND ITS APPLICATIONS TO TEST STATISTICAL HYPOTHESES [J] . Pardo L., Salicru M., Menendez ML., Information Sciences: An International Journal . 1995,第3a4期

机译：广义发散度量-信息矩阵，信息量，渐近分布及其在检验统计假设中的应用
2. ON A POWER OF OPTIMAL TEST FOR ASYMPTOTIC DISTINCTION OF STATISTICAL HYPOTHESES FOR DISTRIBUTIONS WITH HEAVY TAILS [J] . V.E. Bening, V. Yu. Korolev, U Da Journal of Mathematical Sciences . 2015,第1期

机译：重尾分布统计假设渐近区分的最优检验的幂
3. On Distributional Properties and Goodness-of-Fit Tests for Generalized Measures of Divergence [J] . A. KARAGRIGORIOU, K. MATTHEOU Communications in Statistics . 2010,第3a5期

机译：广义散度测度的分布特性和拟合优度检验
4. Information matrices associated to (h, PHI )-divergence measures: applications to testing hypotheses [C] . D.Morales, L.Pardo, M.Salicru, International conference on information processing and management of uncertainty in knowledge-based systems;IPMU'94 . 1995

机译：与（H，PHI）相关联的信息矩阵 - 指令措施：用于测试假设的应用程序
5. ASYMPTOTIC DISTRIBUTIONS OF LATENT ROOTS IN CANONICAL CORRELATION ANALYSIS AND IN DISCRIMINANT ANALYSIS WITH APPLICATIONS TO TESTING AND ESTIMATION. [D] . GLYNN, WILLIAM JAMES. 1977

机译：典范相关分析和判别分析中隐根的渐近分布及其在测试和估计中的应用。
6. EXTENDING MULTIVARIATE DISTANCE MATRIX REGRESSION WITH AN EFFECT SIZE MEASURE AND THE ASYMPTOTIC NULL DISTRIBUTION OF THE TEST STATISTIC [O] . Daniel B. McArtor, Gitta H. Lubke, C. S. Bergeman -1

机译：具有效应尺寸度量和检验统计量的渐近零分布的扩展多元距离矩阵回归
7. On the Applications of Divergence Type Measures in Testing Statistical Hypotheses [O] . Salicru M., Morales D., Menendez M.L., 1994

机译：论散度类型测度在检验统计假设中的应用
8. Approximations to the Distributions of the Likelihood Ratio Statistics for Testing the Hypotheses on Covariance Matrices and Mean Vectors Simultaneously, [R] . chang, t. c. krishnaiah, p. r. 1975

机译：用于同时测试协方差矩阵和平均向量假设的似然比统计量分布的近似，

GENERALIZED DIVERGENCE MEASURES - INFORMATION MATRICES, AMOUNT OF INFORMATION, ASYMPTOTIC DISTRIBUTION, AND ITS APPLICATIONS TO TEST STATISTICAL HYPOTHESES

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