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maximum likelihood estimation是什麼意思,maximum likelihood estimation的意思翻譯、用法、同義詞、例句

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常用詞典

  • [數] 最大似然估計;最大相似估計法

  • 例句

  • In seislogging, seismic wavelet is estimated by the maximum likelihood estimation technique of signal detection theory.

    在拟速度測井中,地震子波是根據信號檢測理論的最大似然估計方法來估算的。

  • It is seen that hierarchical Bayesian estimation is more efficient than maximum likelihood estimation through Monte Carlo simulation and an example.

    通過蒙特卡羅模拟和實例表明多層貝葉斯估計比最大似然估計更加有效。

  • In the paper it is shown that in isotropical noise field acoustic energy flux is maximum likelihood ratio detector, its direction is maximum likelihood estimation of source direction.

    本文證明在各向同性噪聲場中聲能流是最大似然比檢測量,聲能流方向是聲源方位的最大似然估計;

  • Finally, the relation between likelihood ratio detection and the maximum likelihood estimation is discussed.

    最後指出最大似然估計與似然比檢驗之間和兩者的性能測度之間的聯繫。

  • After several iterations, the maximum likelihood estimation and compensation of the TPC of the target can be realized more effectively.

    經過幾次疊代,可以有效地實現目标TPC的最大似然估計和補償。

  • To be direct against problems of traditional apparatus reliability failure analysis method, this paper presents a failure analysis method based on maximum likelihood estimation method.

    針對傳統電器可靠性失效分析方法中存在的問題,提出了一種電器可靠性失效分析極大似然估計方法。

  • By modifying the derivation procedures both in time domain and frequency domain, and by the proper approximation, the approximate maximum likelihood estimation result in time domain was derived.

    在時域和頻域都重新推導了估計結果,經過合理近似,得到時域最大似然估計的近似解;

  • And the accuracy rate of a classification network is explained as the maximum likelihood estimation of the generalization ability.

    證明了一個分類網絡的測試集正确率是該網絡推廣能力的極大似然估計;

  • In this paper, the writer proves the generic stability of maximum likelihood estimation on the probability density functions(in Baire category sense).

    證明了最大似然估計關于概率密度函數的通有穩定性。

  • In this paper, proposed is the informax fast algorithm of ICA using information maximum likelihood estimation with the Newton iterate algorithm.

    本文基于信息極大似然估計,采用牛頓疊代算法,建立了ICA的一種信息極大快速算法。

  • In the practice projects, the precision of maximum likelihood estimation of Weibull shape parameter is quantitatively provided by the conclusion.

    工程上,可以依據文中提供的結論定量分析威布爾分布形狀參數極大似然估計量的精度。

  • To the tree species, the maximum likelihood estimation and minimum risk equivariant estimation are used to estimate the unknown parameters.

    對于服從正态分布的樹種利用極大似然估計和最優同變估計對未知參數進行估計。

  • The implementation of maximum likelihood estimation method to the nonlinear continuous ?discrete systems and application to aerodynamic parameter identification for vehicle are stu***d.

    研究了非線性連續—離散系統極大似然估計方法的實現及其在飛行器氣動參數辨識中的應用問題。

  • To take the errors of measurement data in the process of balancing into account, the maximum likelihood estimation is adopted.

    為了計及平衡過程中測試數據的誤差,對動不平衡量采用極大似然估計。

  • This paper deals with a statistic method for identification of modal parameters of structures by means of the maximum likelihood estimation(MLE).

    本文論述了振動系統模态參數的一種統計識方法——模态參數的極大似然估計法。

  • And then the model parameters are estimated by means of MLE ( maximum likelihood estimation).

    其次運用極大似然估計方法對模型的參數進行标定。

  • The marginal densities of single-factor interest rate models can be obtained by maximum likelihood estimation.

    由極大似然估計可以得到單因子利率模型的邊際密度函數。

  • Firstly, boundary surfaces of feature were decomposed into several joint primitives, and each data patch was solely fitted by surface incorporating maximum likelihood estimation.

    首先将特征的邊界曲面分解為相互鄰接的若幹基準面,運用極大似然估計法單獨對每個分塊數據集進行曲面拟合;

  • The maximum likelihood estimation of such model is discussed, and an approximate solution is obtained with the steepest descent method.

    文中讨論了這類模型參數的極大似然估計,并采用最陡下降法來求其近似解,模拟試驗證實此算法是有效。

  • In this paper, the aerodynamic parameter identification of elastic aircraft is stu***d by the maximum likelihood estimation algorithm using, orthogonal test table for computing sensitivities.

    本文基于正交計算靈敏度的極大似然估計算法研究了彈性飛行器的氣動參數辨識問題。

  • The prediction of remaining life and the optimal renewal time of wire rope are given according to the principal of maximum likelihood estimation.

    依據極大似然估計原理,給出了鋼絲繩壽命預測方法和鋼絲繩最佳更換期。

  • A timing synchronization method of low complexity is presented. It makes use of joint maximum likelihood estimation based on the cyclic prefix to finish coarse timing synchronization.

    提出了一種低複雜度的定時同步方法,采用基于循環前綴的最大似然聯合估計算法完成符號粗同步;

  • The simulation indicates that the condition moment estimation is more accurate than the convergence maximum likelihood estimation.

    數值模拟表明條件矩估計優于漸進極大似然估計。

  • This paper defines quasi-maximum likelihood estimation and partial quasi-maximum likelihood estimation, and proves the consistency of the two estimations under certain conditions.

    定義了拟極大似然估計和偏拟極大似然估計,并證明了二者在一定的條件下是一緻的,最後給出了兩個例子說明這兩種估計的一緻性。

  • By simplifying the objective function of maximum likelihood estimation, the algorithm can realize sequence synchronization and sequence estimation via adaptive iteration and wide window.

    通過簡化最大似然估計目标函數,提出了用自適應疊代法并結合寬窗口法來實現序列同步和序列估計。

  • 網絡擴展資料

    Maximum Likelihood Estimation(最大似然估計,簡稱MLE)是統計學中一種基于概率模型的參數估計方法,其核心思想是:在給定觀測數據的情況下,選擇能使這些數據出現概率最大的參數值作為估計值。


    核心概念與原理

    1. 似然函數(Likelihood Function)
      假設觀測數據為 ( X = {x_1, x_2, ..., xn} ),且數據服從某個概率分布 ( P(X|theta) ),其中 (theta) 是未知參數。
      似然函數定義為參數 (theta) 的函數:
      $$ L(theta | X) = prod
      {i=1}^n P(x_i | theta) $$
      它表示在參數 (theta) 下,觀測到數據 (X) 的聯合概率。

    2. 最大化似然函數
      MLE的目标是找到使 ( L(theta | X) ) 最大的 (theta) 值,即: $$ hat{theta}{text{MLE}} = argmax{theta} L(theta | X) $$
      實際操作中,常對似然函數取對數(轉化為對數似然函數),簡化計算: $$ ln L(theta | X) = sum_{i=1}^n ln P(x_i | theta) $$


    具體步驟

    1. 假設數據分布(如正态分布、伯努利分布等);
    2. 寫出似然函數;
    3. 取對數并求導,找到導數為零的臨界點;
    4. 驗證是否為最大值(如二階導數為負)。

    示例:抛硬币問題

    假設抛硬币10次,觀察到7次正面(H)和3次反面(T)。用MLE估計正面概率 ( p ):

    1. 假設分布:伯努利分布(單次試驗概率為 ( p^H (1-p)^T ));
    2. 似然函數:( L(p) = p (1-p) );
    3. 對數似然:( ln L(p) = 7ln p + 3ln(1-p) );
    4. 求導并解方程:
      $$ frac{d}{dp} ln L(p) = frac{7}{p} - frac{3}{1-p} = 0 quad Rightarrow quad hat{p}_{text{MLE}} = 0.7 $$

    優缺點


    應用場景

    MLE廣泛應用于機器學習、經濟學、生物統計等領域,例如:

    如果需要進一步理解具體案例或數學推導,可以參考統計學習或概率論教材。

    網絡擴展資料二

    最大似然估計是一種統計學方法,用于在給定一些觀測數據的情況下,估計一個概率分布的參數。以下是最大似然估計的詳細解釋:

    例句

    用法

    最大似然估計是一種常見的參數估計方法。例如,在機器學習中,我們可以使用最大似然估計來确定模型的參數,以使得模型的輸出概率最大程度地接近實際觀測數據。

    解釋

    最大似然估計的基本思想是,給定一組觀測數據,我們想要估計一個概率分布的參數。最大似然估計的目标是找到一個參數值,使得該參數下,觀測數據的概率最大。也就是說,最大似然估計估計的是一個參數的“最可能性”。

    近義詞

    最大似然估計的近義詞包括最大似然法、極大似然估計、極大似然法等。

    反義詞

    最大似然估計的反義詞是最小二乘估計(Least Squares Estimation),它是一種用于回歸分析的參數估計方法。

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