數學的期望值
The standard air defense fire unit theory demand was calculated by adopting damage probability method and damage target mathematical expectation method.
标準防空火力單元理論需求量采用毀殲概率法和毀殲目标數學期望法計算。
Then the independence of random variables with fuzzy probability(RVFP) was introduced, with the characters of mathematical expectation of discrete RVFP proved.
然後引入了模糊概率隨機變量的獨立性，給出了離散型模糊概率隨機變量的數學期望性質的證明。
Thirdly, it analyses prediction technology in scheduling, and proposes prediction model to predict task expected completion time using subtasks with maximum mathematical expectation.
在此基礎上，建立基于數學期望的任務預期完成時間預測模型，用具有最大期望完成時間的子任務預測任務預期完成時間；
On the basis of building the ship radiated-noise model, the mathematical expectation expressions of ship radiated-noise demodulation spectrum harmonic clan feature were educed.
在建立艦船輻射噪聲仿真模型的基礎上，推導了單、雙螺旋槳艦船輻射噪聲調制譜諧波族幅值特征的數學期望表達式。
Suppose the mathematical expectation of image signal is zero, the basic properties of the correlator output are given.
假定圖象信號的數學期望為零，證明了相關器輸出的基本性質。
When the market is complete, the present value of any derivative security is equivalent to mathematical expectation of its underlying profit discount value under equivalent martingale measurement.
當市場是完備時，任意衍生證券的現值等于該證券未來收益折現值在等價鞅測度下的數學期望。
Mathematical expectation is one of the important digital features of random variable.
數學期望是隨機變量的重要數字特征之一。
A double forecasting model is proposed by using conditional mathematical expectation, based on probability distribution of port cargo throughput.
在得出港口貨物吞吐量概率分布的基礎上，利用條件數學期望提出了港口貨物吞吐量的雙層預測模型。
Mathematical expectation is important concept of probability theory, to apply mathematic expectation discuss economic problems, and obtain useful conclusions.
數學期望是概率論的一個重要概念，應用數學期望讨論某些經濟問題，從而得到一些有意義的結論。
This paper discusses the probability of the different butterfly investors' profiting and mathematical expectation of its profit function.
本文探讨了不同蝶狀價差投資者的獲益概率及其平均損益。
In this paper, we consider both the mathematical expectation and variance for the time to failure of some systems and design a system with ideal reliability.
本文研究系統壽命的均值和方差，并設計出較為理想的可靠性系統。
Experimental Verification : Theory formula is the average value of the random variable mathematical expectation (estimated) formula.
實驗驗證：理論平均值公式就是隨機變量取值的數學期望（估計）計算公式。
In Stochastic Model Predictive Control, chance constraints are presented and the objective function is an mathematical expectation.
在隨機預測控制中，約束是機會約束，目标函數是數學期望，滾動優化求解的是隨機優化問題。
At the same time, according to analysis the mathematical expectation of the number of drawed tickets, this essay is trying to raise some advice for the dep…
同時，通過分析在中彩時，已摸過的彩票數目的數學期望，向彩票發行者提出了幾點建議。
At the same time, according to analysis the mathematical expectation of the number of drawed tickets, this essay is trying to raise some advice for the department responsibl…
同時，通過分析在中彩時，已摸過的彩票數目的數學期望，向彩票發行者提出了幾點建議。
At the same time, according to analysis the mathematical expectation of the number of drawed tickets, this essay is trying to raise some advice for the department responsible for …
同時，通過分析在中彩時，已摸過的彩票數目的數學期望，向彩票發行者提出了幾點建議。
Demonstrated that the random variable is the mathematical expectation of eternal existence, Convergence not set conditions;
論證了隨機變量的數學期望是永恒存在的，不必設定收斂條件；
This paper explores the application of conditional expectation in solutions to mathematical expectation and best prediction.
條件數學期望是概率論中一個重要概念，本文通過求數學期望的例子和最優預測探讨了它的應用。
Optimal maintenance policy problem in a system is discussed and analysed in this paper. Due to the random variable concerned, one objective mathematical model of expectation value is developed.
本文讨論了系統的最優維修策略問題，考慮到題目中所涉及的變量大多為隨機變量，我們建立了單目标的期望值模型。
Build mathematical model of quantitative analysis, confirm the expectation value of light intensity, build standard work curve, improving analysis precision.
建立定量分析數學模型，确定光強值，建立标準工作曲線，提高分析精度。
Secondly, we discuss the optimal investment model , We introduce the mathematical model of multiple risky investment with transaction costs and make a expectation for the next progress.
本論文第二部分對最優投資組合問題的發展現狀作了介紹，引入了連續型帶有交易費用的多風險投資模型，并對進一步發展進行了展望。
In this paper, we introduce a series of neuron mathematical models which are representative and widely useful. Then we discuss them in details and in expectation of the development in these models.
本文介紹了一系列具有代表性和廣闊應用範圍的神經元數學模型，并就此展開讨論，對其發展前景作了展望；
The change of coal thickness caused by geological structure is nonlinear and revulsion, but in a certain range, the mathematical expectation of coal thickness distribution is a fixed value.
由構造引起的煤厚變化具有非線性特征和突變性，但在一定的範圍内，煤厚分布的數學期望為一個固定值。
This depends to a great degree on the wideness of the spread between the mathematical expectation of number one versus number eight.
這取 決于第一和第八的數學期望的差異度有多大。
Based on the statistic characteristic of random errors, the mathematical expectation, variance and mean square error of the parameter estimator getting from this method are discussed in detail.
從偶然誤差的統計特征出發，詳細讨論這種平差方法得到的參數估值的一些統計性質，并對半參數平差與最小二乘法的參數估計值進行比較。
數學期望（Mathematical Expectation） 是概率論與統計學中的核心概念，指隨機變量所有可能取值按其概率加權後的平均值，用于描述隨機變量的長期平均表現。其本質是概率分布的中心位置度量，記為 ( E(X) ) 或 ( mu )。以下是詳細解釋：
離散型隨機變量
若隨機變量 ( X ) 的可能取值為 ( x_1, x_2, ldots, x_n )，對應概率為 ( p_1, p_2, ldots, pn )，則數學期望定義為：
$$ E(X) = sum{i=1}^{n} x_i cdot p_i $$
例如，擲一枚公平骰子，點數的期望值為 ( 1 times frac{1}{6} + 2 times frac{1}{6} + cdots + 6 times frac{1}{6} = 3.5 )。
連續型隨機變量
若 ( X ) 的概率密度函數為 ( f(x) )，則期望通過積分計算：
$$ E(X) = int_{-infty}^{infty} x cdot f(x) , dx $$
例如，服從區間 ( [a,b] ) 均勻分布的變量，期望為 ( frac{a+b}{2} )。
線性性質
期望具有可加性和齊次性：對任意常數 ( a, b ) 和隨機變量 ( X, Y )，滿足
$$ E(aX + bY) = aE(X) + bE(Y) $$
這一性質在金融投資組合預期收益計算中廣泛應用。
大數定律的基石
數學期望是大數定律的理論基礎：當試驗次數足夠多時，隨機事件的樣本均值依概率收斂于期望值。例如，長期抛硬币正面朝上的頻率趨近于期望值 ( 0.5 )。
權威參考來源：
數學期望将不确定性轉化為可量化的預測工具，是風險分析、決策理論和現代人工智能算法（如強化學習）的基礎概念之一。
數學期望（mathematical expectation），又稱期望值（expected value），是概率論和統計學中的核心概念，用于描述隨機變量在多次試驗中的平均結果。以下是詳細解釋：
數學期望是隨機變量所有可能取值與其對應概率的加權平均。
數學期望是概率論的基礎工具，其核心思想是“長期平均結果”。需要注意的是，期望值不保證單次試驗的結果，但為風險與收益的量化提供了理論依據。
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