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probability density function是什么意思,probability density function的意思翻译、用法、同义词、例句

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常用词典

  • [数] 机率密度函数;概率密度分布函数

  • 例句

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

    首先论述了学生竞赛评比工作实际确定功能函数的概率密度函数的方法。

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

    流体微团的概率密度分布函数也表现出多重分形特征!

  • 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.

    我们得到了密度函数,分布函数,矩发生函数和矩,考察了F检验在斜正态分布族内的性质。

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

    若贝叶斯理论被用来描述反演问题的话,则地球模型的后验概率密度函数可以用来描述反演问题的解。

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

    给出确定利用最大熵原理建立的功能函数概率分布密度的待定参数时由高斯积分表达的离散化公式。

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

    应用概率密度函数非预混模型,对固体火箭冲压发动机补燃室内的湍流燃烧进行了数值模拟。

  • 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.

    根据信号、本底的时间分布以及时间、时间误差、质量、质量差等变量之间的关系,构建概率密度函数。

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

    从而导出了油液阻尼器受指数型高斯色噪声外激励时的速度响应的概率密度函数。

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

    粒子滤波器是用随机样本来近似状态后验概率密度函数,适用于任何非线性非高斯系统。

  • 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.

    与源的概率密度相关的非线性函数影响着自适应算法的性能,如稳定性、收敛速度和均方误差等。

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

    为此,寻求一种简便的产生概率密度函数的统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.

    然后,对可能损伤的杆件乘以一刚度系数,由于应变模态误差能用高斯分布近似模拟,应用贝叶斯统计方法便可得到这些参数的概率密度函数。

  • 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.

    本文还给出了一种简练的函数构造法,用该方法构造的函数能较好地逼近活动工期概率密度函数,方便了对计划网络图的计算机仿真运算。

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

    由此,可确定结构荷载效应分布概型及其数字特征。

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

    随机缺陷分析方法中假定结构每个节点的位置偏差符合二倍均方差范围内的正态概率密度函数是可以接受的。

  • 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.

    通过在更新阶段对权值计算所依赖的概率密度函数做出改进,得到改进的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.

    为了配合输出概率密度函数估计算法的缺点,花药性能功能也提出了一种基于的直方图模型输出。

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

    盲源分离算法通常需预先假设源信号的概率密度函数,并由此获得关键的核函数,进而从混合信号中分离出源信号。

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

    在这样情况,许多分数可能性密度函数模型是接近反应现象的一个适当的方法。

  • 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.

    一个计算机化的设备、最好用由一组标准数据通过线性判别分析处理得到的一个概率密 度函数、来进行判断。

  • 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.

    它不仅能有效地在语音识别中引入帧间相关信息,而且能克服状态输出概率密度函数为混合高斯分布的束缚。

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

    连续随机变量下的面积概率密度函数对应的概率。

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

    在模式识别、回归估计、概率密度函数估计等方面都有应用。

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

    由该随机微分方程的定态解,给出了加热势函数和概率密度函数。

  • 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.

    用循环计数法求出载荷及应力幅频率分布,用概率密度函数拟合,为疲劳设计提供可靠性高的数据资。

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

    有脱靶弹存在时,通过坐标变换可将弹着散布的概率密度函数用极坐标下的瑞利分布函数表示。

  • 专业解析

    概率密度函数(Probability Density Function,简称PDF)是概率论与统计学中描述连续型随机变量概率分布的核心工具。它通过数学函数的形式,刻画随机变量在不同取值范围内的概率密度(而非直接概率值)。其定义为:对于连续型随机变量$X$,若存在非负可积函数$f(x)$,使得对任意实数区间$[a,b]$,$X$落在该区间的概率可表示为 $$ P(a leq X leq b) = int_{a}^{b} f(x) , dx, $$ 则$f(x)$称为$X$的概率密度函数。

    核心性质与解释

    1. 非负性:$f(x) geq 0$对所有$x$成立,反映概率密度不可为负。
    2. 归一性:$int_{-infty}^{infty} f(x) , dx = 1$,确保所有可能事件的概率总和为1。
    3. 单点概率为零:连续型变量在单一点的概率$P(X=c)=0$,因此需通过区间积分计算概率。
    4. 相对可能性:若$f(x_1) > f(x_2)$,则$X$在$x_1$附近取值的概率密度高于$x_2$。

    典型应用场景

    参考文献

    1. 数学定义与性质:剑桥大学《概率导论》教材(链接
    2. 应用案例:斯坦福大学统计系课程资料(链接
    3. 扩展阅读:维基百科“Probability density function”词条(链接

    网络扩展资料

    Probability density function(概率密度函数,简称PDF)是概率论与统计学中用于描述连续型随机变量概率分布的核心工具。其核心定义和特性如下:


    1. 定义

    PDF是一个非负函数$f(x)$,满足: $$ int{-infty}^{+infty} f(x) , dx = 1 $$ 它表示随机变量$X$在某个点$x$附近的概率密度,而非直接概率值。只有对$f(x)$在某一区间积分时,才能得到$X$落在该区间的概率: $$ P(a leq X leq b) = int{a}^{b} f(x) , dx $$


    2. 关键性质


    3. 与累积分布函数(CDF)的关系


    4. 常见应用场景


    5. 注意与离散变量的区别

    离散变量使用概率质量函数(PMF)直接给出每个点的概率,而PDF通过积分间接提供概率。

    通过理解PDF,可以分析连续随机变量的分布规律,并在建模、假设检验等统计任务中应用。

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