multivariate normal distribution 中文意思是什麼

multivariate normal distribution 解釋
多變量常態分佈
  • multivariate : 第四節多變量分析
  • normal : adj 1 正常的，平常的，普通的；平均的。2 正規的，標準的，額定的，規定的。3 智力正常的，精神健全的...
  • distribution : n 1 分配，分發，配給；分配裝置[系統]；配給品；配給量；【經濟學】配給方法，配給過程；分紅；【法律...
  1. ( 1 ) the posterior distribution of the coefficient matrix, the precision matrix and covariance matrix, and their bayesian estimation under the matrix normal - wishart conjugate prior distribution. ( 2 ) the deduction of the predictive distribution, proved to be matrix t distribution. ( 3 ) the designs of bayesian multivariate mean value control charts in terms of the relationship between the multivariate wishart distribution and x2 distribution, the bayesian process capability index and its confidence lower limi

    通過多方程模型系統的統計結構，證明了矩陣正態? wishart先驗分佈是模型參數（ ， ）的共軛先驗分佈，研究了該先驗分佈下模型系數矩陣、精度陣和協方差陣的后驗分佈及其貝葉斯估計，對模型預報密度函數進行了嚴格的數學推導，並將其應用於多元質量控制領域，構造了貝葉斯均值向量聯合控制圖；結合wishart分佈與x ~ 2分佈之間的關系，設計與推斷了貝葉斯多指標過程能力指數及其貝葉斯置信下限。
  2. A. p. verbyla and w. n. venables ( 1988 ) extended the ordinary growth curve model into the extension of growth curve model and obtained an estimate of the unknown parameter matrix under the conditions that the matrix of observations follow multivariate normal distribution, where every design matrix has full column rank [ 7 ]

    A . p . verbyla和w . n . venables （ 1988 ）將gc模型進行了推廣，得到了推廣增長曲線模型（ theextensionofgrowthcurvemodel簡稱egc模型） ，並在觀察矩陣服從正態分佈，各設計矩陣均為列滿秩的條件下，給出了參數矩陣估計值的一種演算法。
  3. Lots of research results are obtained in this field, though which are always based on two assumptions : one is that process variables are subjected to multivariate normal distribution ; the other is that samples are subjected to independent and identical distribution ( iid )

    在此領域雖已獲得了大量成果，但研究基本上是在過程檢測數據服從多元正態分佈和獨立同分佈的兩個假設下進行的。
  4. The results of process monitoring indicate that this method is more effective than the process monitoring method based on conventional blind source signal separation. 6 ) due to the complexity of process information, a process monitoring method which applies independent component analysis and principal component analysis to extract nonnormal distributed process features and normal distributed process features is presented, which avoids the assumption that process information is subjected to multivariate normal distribution

    8 ）鑒于在過程中，過程信息的平穩性並不確定，提出了一種不考慮過程平穩性能的過程監控方法，模擬表明該方法比基於傳統ica的過程監控方法具有更少的誤報率和漏報率，而比基於mspc的過程監控方法具有更少的誤報率，從而說明該方法的有效性。
  5. Of course, it is often effective to apply conventional multivariate statistical process control ( mspc ) to the process whose process variables are subjected ( or approximatively subjected ) to multivariate normal distribution

    本文的研究正是著眼于克服這兩大假設條件，使過程監控技術能更好地適用於實際工業生產過程而進行的。
  6. Moreover, pca and bsa with their application in process monitoring are simple described 2 ) due to the fact that process information is n ' t always subjected to multivariate normal distribution, a process monitoring method based on pca with support vector classifier is provided, which improves the monitoring performance

    此外，還簡要地描述了主元分析方法和盲源信號分析方法及它們在過程監控中的應用。 2 ）由於過程信息並非均服從正態分佈，提出了一種基於支持向量分類器主元分析方法的過程監控方法，模擬表明提高了過程監控的性能。
  7. Two primary mathematical tools used in this dissertation are principal component analysis ( pca ) and blind signal analysis ( bsa ), which are both data - driven methods. pca is not only used as feature extracting method ( where process variables are subjected to multivariate normal distribution ), but also as a tool for dimension reduction ; bsa is used to extract independent features or process blind source signals from process information in information theory sense, which is more effective than pca in describing the process

    主元分析方法不僅作為一種過程特徵的提取方法（在過程信息服從多元正態分佈的情況下） ，而且也作為一種過程數據降維的主要工具（在過程盲源信號提取的情況下） ；盲源信號分析是從信息論的角度，從過程信息中提取出盡可能獨立的過程特徵信號或過程原始信源信號，它具有比主元分析更好的刻畫過程運行特徵的性能。
  8. We will give the asymptotic normality and consistency of mle for multivariate model with constant correlation introduced by bollerslev ( 1990 ). 3. moreover we will introduce the agarch model with non - normal distribution and have empirical study shows that the model suggested is feasible

    在多維的情形下，著重研究bollerslev （ 1990 ）提出的常數相關的多維garch模型的極大似然估計（ mle ）的漸近正態性和相合性。
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