数学的期望值
The standard air defense fire unit theory demand was calculated by adopting damage probability method and damage target mathematical expectation method.
标准防空火力单元理论需求量采用毁歼概率法和毁歼目标数学期望法计算。
Then the independence of random variables with fuzzy probability(RVFP) was introduced, with the characters of mathematical expectation of discrete RVFP proved.
然后引入了模糊概率随机变量的独立性，给出了离散型模糊概率随机变量的数学期望性质的证明。
Thirdly, it analyses prediction technology in scheduling, and proposes prediction model to predict task expected completion time using subtasks with maximum mathematical expectation.
在此基础上，建立基于数学期望的任务预期完成时间预测模型，用具有最大期望完成时间的子任务预测任务预期完成时间；
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.
在建立舰船辐射噪声仿真模型的基础上，推导了单、双螺旋桨舰船辐射噪声调制谱谐波族幅值特征的数学期望表达式。
Suppose the mathematical expectation of image signal is zero, the basic properties of the correlator output are given.
假定图象信号的数学期望为零，证明了相关器输出的基本性质。
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.
当市场是完备时，任意衍生证券的现值等于该证券未来收益折现值在等价鞅测度下的数学期望。
Mathematical expectation is one of the important digital features of random variable.
数学期望是随机变量的重要数字特征之一。
A double forecasting model is proposed by using conditional mathematical expectation, based on probability distribution of port cargo throughput.
在得出港口货物吞吐量概率分布的基础上，利用条件数学期望提出了港口货物吞吐量的双层预测模型。
Mathematical expectation is important concept of probability theory, to apply mathematic expectation discuss economic problems, and obtain useful conclusions.
数学期望是概率论的一个重要概念，应用数学期望讨论某些经济问题，从而得到一些有意义的结论。
This paper discusses the probability of the different butterfly investors' profiting and mathematical expectation of its profit function.
本文探讨了不同蝶状价差投资者的获益概率及其平均损益。
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.
本文研究系统寿命的均值和方差，并设计出较为理想的可靠性系统。
Experimental Verification : Theory formula is the average value of the random variable mathematical expectation (estimated) formula.
实验验证：理论平均值公式就是随机变量取值的数学期望（估计）计算公式。
In Stochastic Model Predictive Control, chance constraints are presented and the objective function is an mathematical expectation.
在随机预测控制中，约束是机会约束，目标函数是数学期望，滚动优化求解的是随机优化问题。
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…
同时，通过分析在中彩时，已摸过的彩票数目的数学期望，向彩票发行者提出了几点建议。
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…
同时，通过分析在中彩时，已摸过的彩票数目的数学期望，向彩票发行者提出了几点建议。
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 …
同时，通过分析在中彩时，已摸过的彩票数目的数学期望，向彩票发行者提出了几点建议。
Demonstrated that the random variable is the mathematical expectation of eternal existence, Convergence not set conditions;
论证了随机变量的数学期望是永恒存在的，不必设定收敛条件；
This paper explores the application of conditional expectation in solutions to mathematical expectation and best prediction.
条件数学期望是概率论中一个重要概念，本文通过求数学期望的例子和最优预测探讨了它的应用。
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.
本文讨论了系统的最优维修策略问题，考虑到题目中所涉及的变量大多为随机变量，我们建立了单目标的期望值模型。
Build mathematical model of quantitative analysis, confirm the expectation value of light intensity, build standard work curve, improving analysis precision.
建立定量分析数学模型，确定光强值，建立标准工作曲线，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.
本论文第二部分对最优投资组合问题的发展现状作了介绍，引入了连续型带有交易费用的多风险投资模型，并对进一步发展进行了展望。
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.
本文介绍了一系列具有代表性和广阔应用范围的神经元数学模型，并就此展开讨论，对其发展前景作了展望；
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.
由构造引起的煤厚变化具有非线性特征和突变性，但在一定的范围内，煤厚分布的数学期望为一个固定值。
This depends to a great degree on the wideness of the spread between the mathematical expectation of number one versus number eight.
这取 决于第一和第八的数学期望的差异度有多大。
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.
从偶然误差的统计特征出发，详细讨论这种平差方法得到的参数估值的一些统计性质，并对半参数平差与最小二乘法的参数估计值进行比较。
数学期望（Mathematical Expectation） 是概率论与统计学中的核心概念，指随机变量所有可能取值按其概率加权后的平均值，用于描述随机变量的长期平均表现。其本质是概率分布的中心位置度量，记为 ( E(X) ) 或 ( mu )。以下是详细解释：
离散型随机变量
若随机变量 ( X ) 的可能取值为 ( x_1, x_2, ldots, x_n )，对应概率为 ( p_1, p_2, ldots, pn )，则数学期望定义为：
$$ E(X) = sum{i=1}^{n} x_i cdot p_i $$
例如，掷一枚公平骰子，点数的期望值为 ( 1 times frac{1}{6} + 2 times frac{1}{6} + cdots + 6 times frac{1}{6} = 3.5 )。
连续型随机变量
若 ( X ) 的概率密度函数为 ( f(x) )，则期望通过积分计算：
$$ E(X) = int_{-infty}^{infty} x cdot f(x) , dx $$
例如，服从区间 ( [a,b] ) 均匀分布的变量，期望为 ( frac{a+b}{2} )。
线性性质
期望具有可加性和齐次性：对任意常数 ( a, b ) 和随机变量 ( X, Y )，满足
$$ E(aX + bY) = aE(X) + bE(Y) $$
这一性质在金融投资组合预期收益计算中广泛应用。
大数定律的基石
数学期望是大数定律的理论基础：当试验次数足够多时，随机事件的样本均值依概率收敛于期望值。例如，长期抛硬币正面朝上的频率趋近于期望值 ( 0.5 )。
权威参考来源：
数学期望将不确定性转化为可量化的预测工具，是风险分析、决策理论和现代人工智能算法（如强化学习）的基础概念之一。
数学期望（mathematical expectation），又称期望值（expected value），是概率论和统计学中的核心概念，用于描述随机变量在多次试验中的平均结果。以下是详细解释：
数学期望是随机变量所有可能取值与其对应概率的加权平均。
数学期望是概率论的基础工具，其核心思想是“长期平均结果”。需要注意的是，期望值不保证单次试验的结果，但为风险与收益的量化提供了理论依据。
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