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cumulative distribution是什麼意思,cumulative distribution的意思翻譯、用法、同義詞、例句

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  • [物化] 累積分布

  • 例句

  • The act-degree distribution, act size distribution, the relationship between act degree and the saleroom, and the cumulative distribution of the saleroom are all stu***d.

    我們統計了該網絡的頂點項目度分布、項目大小分布、項目度與該頂點的銷售額之間的關系、以及銷售額的累計分布。

  • The strain amplitude aside the pin-hole was fit by the second order Response Surface. The cumulative distribution function of strain amplitude was achieved with Monte Carlo method.

    采用響應表面法進行應變變程函數拟合,得到銷釘孔邊應變變程二次函數分布。

  • The probability density function, cumulative distribution function, average level crossing rate and average fade duration of each composite fading channel are analyzed, and some uniform expression.

    給出了各種複合衰落的概率密度函數、累積分布函數、平均電平交叉率、平均衰落時間的統一表達式。

  • Because some products show no failure in the random truncation test period, this paper uses the mean rank order method to calculate the empirical cumulative distribution function.

    考慮隨機截尾試驗中有些試驗産品無故障數據出現,提出采用平均秩次法計算經驗分布函數。

  • In different canopy depths of all forests, the cumulative distribution curves of leaf areas index were S-shape;

    各林分不同林冠深度的葉面積指數累積分布變化曲線均呈“S”型;

  • Prediction rate is the cumulative distribution function of the area percentage of the landslides not used to construct a model with respect to the classes in the prediction map generated.

    滑坡預測模型的預測率是,模型預測結果圖的各個級别類型中,未用于建模的滑坡面積百分比的累積分布函數。

  • Under certain fairness criteria, the closer the data throughput cumulative distribution functions to the fairness criteria, the higher the data throughput.

    在滿足給定的公平性要求的情況下,吞吐量累積分布函數曲線越靠近公平性準則。吞吐量越高。

  • The probabilistic distribution model for the release rates of H2S in the sour gas wells of Sichuan and Chongqing areas was developed using the complementary cumulative distribution function.

    利用川渝地區含硫氣井H2S釋放速率數據,根據其累積概率分布函數建立概率分布模型。

  • The desired cumulative distribution is y(x) = x, so the redistribution code is very ******.

    所需的累積分布函數是y(x) =x ,所以分配代碼是很簡單的。

  • Curvature segmentation method is a multi-threshold selection method through searching valley based on histogram cumulative distribution function.

    阈值的曲率分析(即基于灰度直方圖累計函數的峰項一峰谷檢測法中曲率函數存在着選擇最適參數的問題。

  • A cumulative frequency distribution enables us to see how many observations lie above or below certain values .

    累計頻率分布反映在某個值以下,或在某個值以上有多少個觀察值。

  • The relative risk of these chemicals was also investigated based on cumulative probability distribution curves, which were generated based on both exposure and acute toxicity data.

    根據各物質的環境暴露濃度和相應急性毒性值的累計概率分布曲線估計了各物質相對風險性的大小。

  • Multielement characteristics of Chinese human hairs have been stu***d in cumulative frequency distribution, correlation and in relation to sex and age.

    研究人發中元素分布特征、相關性特征、性别年令分布特征。

  • Trials probability_s alpha! ! Returns the smallest value for which the cumulative binomial distribution is greater than or equal to a criterion value!

    返回一個數值,它是使得累積二項式分布的函數值大于等于臨界值α的最小整數。!

  • In this paper, nickel toxicity data of 17 species based on Chinese soils were fitted with different cumulative probability distribution functions.

    本文利用不同累計概率分布函數拟合了基于中國土壤的17個物種的鎳毒理學數據。

  • The model types include frequency histograms, cumulative frequency distribution graphs and theoretical model with double logarithmic coordinates.

    模型類型包括頻率直方圖、累積頻率分布圖以及雙對數坐标表示的理論分布模型。

  • The cumulative effect of unequal distribution [of wealth] has been a deep and lasting division between rich and poor. Trade liberalisation did not bring about the expected benefits.

    財富************的累進效應造成窮人和富人之間的鴻溝,而貿易自由化并未帶來預期益處。

  • So it is obvious that the earthquakes do not always occur in the high cumulative percentage area but normally occur in the areas in which the distribution of the cumulative percentage is distinct.

    由此可見,地震不一定發生在形變累積率高的地區,而通常發生在多年形變累積率空間分布差異性顯著的地區。

  • Therefore, the distribution configuration of the fatigue damage threshold is the same as the distribution configuration of lineal cumulative damage.

    因此,新定義的疲勞損傷閥值與線性累積損傷之間在分布形态上是一緻的。

  • In addition, it is proved that the lineal cumulative damage also observes the normal distribution by means of statistical testing.

    另外,通過統計檢驗,驗證線性累積損傷也服從正态分布。

  • A technical analysis indicator that measures the difference between the cumulative amount of buying pressure (accumulation) and the cumulative amount of selling pressure (distribution).

    一種技術分析指标,反映累積買盤(收集)及累積賣壓(派發)間的差距。

  • In this paper, authors advised a new method calculating the cumulative relative frequency, to study frequent distribution of plant size in the population.

    提出了在解析植物群體的直徑分布時不劃分直經階,直接求累計頻度的方法;

  • If the problem of income distribution cannot receive timely, the cumulative consequences will cause serious impact on the whole social harmony and stability.

    如果收入分配問題不能得到及時化解,其累積的後果将有可能對整個社會的和諧與穩定造成嚴重沖擊。

  • The alluvial deposit and coastal deposit follow normal distribution, they are straight lines in normal cumulative diagram.

    而沖積和海岸沉積服從正态概率分布,其累積圖表現為直線形;

  • 專業解析

    累積分布函數(Cumulative Distribution Function,簡稱CDF)是概率論和統計學中描述隨機變量概率分布的核心概念。它定義為:對于一個隨機變量 (X),其累積分布函數 (F_X(x)) 表示 (X) 取值小于或等于某一特定值 (x) 的概率。用數學公式表示為: $$ F_X(x) = P(X leq x) $$ 其中 (P) 表示概率。

    核心特性

    1. 單調非減性:若 (x_1 < x_2),則 (F_X(x_1) leq F_X(x_2))。隨着 (x) 增大,累積概率不會減小。
    2. 有界性: $$ lim_{x to -infty} FX(x) = 0 quad text{和} quad lim{x to +infty} F_X(x) = 1 $$ 即當 (x) 趨向負無窮時,CDF 趨近于 0;當 (x) 趨向正無窮時,CDF 趨近于 1。
    3. 右連續性:CDF 在任何點 (x) 處是右連續的,即 (lim_{h to 0^+} F_X(x + h) = F_X(x))。
    4. 概率計算:利用 CDF 可以計算隨機變量落在區間 ((a, b]) 内的概率: $$ P(a < X leq b) = F_X(b) - F_X(a) $$

    核心作用與應用

    示例說明

    假設隨機變量 (X) 表示擲一枚均勻六面骰子的結果(取值 1 到 6,概率各為 1/6)。其 CDF (F_X(x)) 為:

    該函數圖像是一個從 0 開始,在 (x=1,2,3,4,5,6) 處跳躍增加 1/6,最終達到 1 的階梯狀函數。

    權威來源參考:

    1. Wikipedia: "Cumulative distribution function" 詞條提供了标準定義、性質和示例。
    2. NIST/SEMATECH e-Handbook of Statistical Methods: 美國國家标準與技術研究院的統計手冊,詳細解釋了 CDF 的定義、性質及其在工程和科學中的應用。
    3. Khan Academy: "概率與統計" 課程模塊,通過直觀示例和圖形講解 CDF 的概念及其與 PDF 的關系。
    4. PennState STAT 414 / 415: 賓州州立大學應用概率與統計課程材料,深入探讨了 CDF 的性質及其在統計推斷(如假設檢驗)中的作用。

    網絡擴展資料

    累積分布(Cumulative Distribution)通常指累積分布函數(Cumulative Distribution Function,CDF),是概率論與統計學中描述隨機變量概率分布的核心工具。以下是詳細解釋:


    定義

    CDF定義為:對于隨機變量( X ),其累積分布函數( F_X(x) )表示( X )取值小于或等于( x )的概率,即: $$ F_X(x) = P(X leq x) $$


    核心性質

    1. 單調性:CDF是非遞減函數,即若( x_1 < x_2 ),則( F(x_1) leq F(x_2) )。
    2. 邊界值:
      • 當( x to -infty ),( F(x) to 0 );
      • 當( x to +infty ),( F(x) to 1 )。
    3. 右連續性:CDF在定義域内是右連續的。

    類型與表達式

    1. 離散型隨機變量
      CDF為階梯函數,通過概率質量函數(PMF)累加得到:
      $$ F(x) = sum_{k leq x} P(X = k) $$ 例如:抛骰子的CDF在整數點處跳躍,每步高度為對應概率。

    2. 連續型隨機變量
      CDF是概率密度函數(PDF)的積分:
      $$ F(x) = int_{-infty}^x f(t) , dt $$ 例如:正态分布的CDF是一條光滑的S型曲線。


    應用場景


    與PDF的關系


    通過CDF,可以全面掌握隨機變量的概率行為,它是連接概率理論與實際數據分析的重要橋梁。

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