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probability density function是什麼意思,probability density function的意思翻譯、用法、同義詞、例句

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常用詞典

  • [數] 機率密度函數;概率密度分布函數

  • 例句

  • Firstly, this paper discusses how to determine the probability density function of the actual student competition comment.

    首先論述了學生競賽評比工作實際确定功能函數的概率密度函數的方法。

  • At last, the probability density function shows multi-fractal characteristic, which is Gauss distribution in Euclidean space.

    流體微團的概率密度分布函數也表現出多重分形特征!

  • Probability density function, distribution function, moment generating function and moments are obtained. The behavior of the F test for the skew normal population is investigated.

    我們得到了密度函數,分布函數,矩發生函數和矩,考察了F檢驗在斜正态分布族内的性質。

  • If Bayesian inference used to describe the problem, the posterior probability density function of earth model describes the solution of a geophysical inverse problem.

    若貝葉斯理論被用來描述反演問題的話,則地球模型的後驗概率密度函數可以用來描述反演問題的解。

  • Discrete formulas expressed by Gauss-quadrature are presented when determine the parameter of probability density function which is established based on maximum entropy theory.

    給出确定利用最大熵原理建立的功能函數概率分布密度的待定參數時由高斯積分表達的離散化公式。

  • The numerical simulation of turbulent combustion in the afterburner of solid rocket ramjet was performed by applying the probability density function non -premixed mode.

    應用概率密度函數非預混模型,對固體火箭沖壓發動機補燃室内的湍流燃燒進行了數值模拟。

  • The probability density function (PDF) is constructed from the time distributions of signal and backgrounds and the relations among time, time uncertainty, mass, and mass difference variables.

    根據信號、本底的時間分布以及時間、時間誤差、質量、質量差等變量之間的關系,構建概率密度函數。

  • The probability density function of velocity response of oleo damper excited by exponential colored Gaussian noise has been obtained.

    從而導出了油液阻尼器受指數型高斯色噪聲外激勵時的速度響應的概率密度函數。

  • Unscented KF utilizes a set of definite samplings to approximate posterior probability density function, while particle filter uses random particles.

    粒子濾波器是用隨機樣本來近似狀态後驗概率密度函數,適用于任何非線性非高斯系統。

  • The nonlinear function relative to probability density function (p. d. f. ) of sources affects the performance of adaptive algorithm, as stability, convergence speed, mean square error etc.

    與源的概率密度相關的非線性函數影響着自適應算法的性能,如穩定性、收斂速度和均方誤差等。

  • So to get an ordinary generating method of probability density function is greatly important for traffic researcher and engineer.

    為此,尋求一種簡便的産生概率密度函數的統一方法是十分必要的。

  • As the uncertain strain modes can be well approximated by a Gaussian distribution, the probability density function(PDF) of the uncertain parameters was constructed by Bayesian statistical method.

    然後,對可能損傷的杆件乘以一剛度系數,由于應變模态誤差能用高斯分布近似模拟,應用貝葉斯統計方法便可得到這些參數的概率密度函數。

  • It also gives a construction approach for approximating the probability density function of activity duration, which will facilitate the computer simulation of the PERT diagram.

    本文還給出了一種簡練的函數構造法,用該方法構造的函數能較好地逼近活動工期概率密度函數,方便了對計劃網絡圖的計算機仿真運算。

  • Thereby, the probability density function and characteristic number of structural load effects can be obtained.

    由此,可确定結構荷載效應分布概型及其數字特征。

  • The results indicate that the initial deviations of the joint positions match normal probability density function limited in the range of double mean variance.

    隨機缺陷分析方法中假定結構每個節點的位置偏差符合二倍均方差範圍内的正态概率密度函數是可以接受的。

  • We made improvement to the probability density function upon which the weight calculation is dependent in the stage of update, and established an improved EPF.

    通過在更新階段對權值計算所依賴的概率密度函數做出改進,得到改進的EPF算法。

  • To cope with shortcomings of estimation algorithms of output probability density function, anther performance function is also proposed based on the histogram of model output.

    為了配合輸出概率密度函數估計算法的缺點,花藥性能功能也提出了一種基于的直方圖模型輸出。

  • By the general assumption that the probability density function of the kernel function can be isolated from separate sub-Gaussian signal or super-signals.

    盲源分離算法通常需預先假設源信號的概率密度函數,并由此獲得關鍵的核函數,進而從混合信號中分離出源信號。

  • In such a situation, mass fraction probability density function model is an appropriate method to approach the reaction phenomena.

    在這樣情況,許多分數可能性密度函數模型是接近反應現象的一個適當的方法。

  • A computerized apparatus for ****** the determination preferably using a probability density function generated from a set of reference data by a linear discriminant analysis procedure is disclosed.

    一個計算機化的設備、最好用由一組标準數據通過線性判别分析處理得到的一個概率密 度函數、來進行判斷。

  • The method not only would be effective to describe the inter-frame correlation information, but overcome tie of the state probability density function being mixture Gauss distribution.

    它不僅能有效地在語音識别中引入幀間相關信息,而且能克服狀态輸出概率密度函數為混合高斯分布的束縛。

  • For continuous random variables the area under the probability density function corresponds to probability …

    連續隨機變量下的面積概率密度函數對應的概率。

  • In pattern recognition, regression estimates, the estimated probability density function, and other aspects of application.

    在模式識别、回歸估計、概率密度函數估計等方面都有應用。

  • The steady - state solution of the random differential equation yields a heating potential function and probability density function.

    由該隨機微分方程的定态解,給出了加熱勢函數和概率密度函數。

  • The loads and the distribution of stress amplitude frequency are obtained by cycle count and reliable data for fatigue design are provided by probability density function fit.

    用循環計數法求出載荷及應力幅頻率分布,用概率密度函數拟合,為疲勞設計提供可靠性高的數據資。

  • For miss projectile, probability density function of impact dispersion can be expressed as Rayleigh distribution function by means of coordinate conversion (Jacobi's transformation ).

    有脫靶彈存在時,通過坐标變換可将彈着散布的概率密度函數用極坐标下的瑞利分布函數表示。

  • 專業解析

    概率密度函數(Probability Density Function,簡稱PDF)是概率論與統計學中描述連續型隨機變量概率分布的核心工具。它通過數學函數的形式,刻畫隨機變量在不同取值範圍内的概率密度(而非直接概率值)。其定義為:對于連續型隨機變量$X$,若存在非負可積函數$f(x)$,使得對任意實數區間$[a,b]$,$X$落在該區間的概率可表示為 $$ P(a leq X leq b) = int_{a}^{b} f(x) , dx, $$ 則$f(x)$稱為$X$的概率密度函數。

    核心性質與解釋

    1. 非負性:$f(x) geq 0$對所有$x$成立,反映概率密度不可為負。
    2. 歸一性:$int_{-infty}^{infty} f(x) , dx = 1$,确保所有可能事件的概率總和為1。
    3. 單點概率為零:連續型變量在單一點的概率$P(X=c)=0$,因此需通過區間積分計算概率。
    4. 相對可能性:若$f(x_1) > f(x_2)$,則$X$在$x_1$附近取值的概率密度高于$x_2$。

    典型應用場景

    參考文獻

    1. 數學定義與性質:劍橋大學《概率導論》教材(鍊接
    2. 應用案例:斯坦福大學統計系課程資料(鍊接
    3. 擴展閱讀:維基百科“Probability density function”詞條(鍊接

    網絡擴展資料

    Probability density function(概率密度函數,簡稱PDF)是概率論與統計學中用于描述連續型隨機變量概率分布的核心工具。其核心定義和特性如下:


    1. 定義

    PDF是一個非負函數$f(x)$,滿足: $$ int{-infty}^{+infty} f(x) , dx = 1 $$ 它表示隨機變量$X$在某個點$x$附近的概率密度,而非直接概率值。隻有對$f(x)$在某一區間積分時,才能得到$X$落在該區間的概率: $$ P(a leq X leq b) = int{a}^{b} f(x) , dx $$


    2. 關鍵性質


    3. 與累積分布函數(CDF)的關系


    4. 常見應用場景


    5. 注意與離散變量的區别

    離散變量使用概率質量函數(PMF)直接給出每個點的概率,而PDF通過積分間接提供概率。

    通過理解PDF,可以分析連續隨機變量的分布規律,并在建模、假設檢驗等統計任務中應用。

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