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概率与统计
概率与统计用于构建各个来源的不确定性的模型，比如不完整或者简化模型. 您可以构建有用的模型，用于聚集有问题的系统的整体行为. 这些类型模型目前广泛用于科学、技术和商业的各个领域.
Mathematica 将符号式分布和过程作为随机变量和随机过程的模型使用. 模型可以自动从数据计算，或者从丰富的内置分布和过程库构建. 模型可以用来仿真或者用于直接回答各种问题.
精选实例 |
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Choose Parametric Tests or Their Nonparametric Counterparts
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Cluster a Bivariate Dataset
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Compare Maximum-Likelihood and Cramér-von Mises Estimates
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Compare Nonparametric and Parametric Reliability Models
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Compare Two Models of Wind Speeds
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Compute a Complex Probability
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Compute a Two-Tailed Probability
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Compute Statistics from Censored and Truncated Data
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Construct a Kalman Filter for a Stochastic System
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Convert between Formal Moments
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Create a Correlation Table
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Create Confidence Envelopes about Nonparametric Density Estimates
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Create Paired Histograms for Comparing Data
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Decompose Mixture Models of Earthquake Magnitudes
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Estimate Multivariate Nonparametric Probabilities and Expectations
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Estimate Parameters and Test Goodness of Fit
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Expected Length of a Human Chromosome
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Find a Meeting Probability
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Find and Visualize a Linear Regression
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Find and Visualize Clusters in Data
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Find and Visualize Residuals for Fitted Models
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Find Operational Rules for a Data Center
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Fit Word Length Data to Distributions
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Improve the Manufacturing of LCD Displays
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Make a Histogram
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Make a Histogram of Stock Returns
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Model Claim Payments for Insurance
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Model Word Lengths by Binomial Distributions
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Perform Affine Transformations on a Normal Distribution
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Perform an Edgeworth Expansion to Approximate a Distribution
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Perform Tests of Location and Scale Simultaneously on Multiple Datasets
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Simulate a Derived Distribution
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Simulate Incomes with Dagum Distribution
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Solve Optimization Problems in Density Estimation
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Test for Goodness of Fit to Any Distribution or Dataset
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Truncate a Distribution
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Use a Gompertz Distribution as a Lifetime Model
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Use a Logistic Distribution to Simulate Fractional Change
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Use Component Mixtures to Model Multimodal Data
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Use Different Copula Kernels
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Visualize an Urn Model with Weighted Balls
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Visualize Distribution Functions for a Fitted Multivariate Distribution
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Visualize Optimal Parameter Values
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Visualize the Multivariate Poisson Distribution in 3D
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Visualize the Projected Lifetime of a Component
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Word Length Distribution in Various Languages
参考资料
Probability — 计算谓词概率
Expectation — 计算表达式期望
NProbability ▪ NExpectation ▪ Distributed (
) ▪ Conditioned (
)
随机变量 »
RandomVariate — 从分布生成随机变量
EstimatedDistribution — 从数据估计参数或者导出分布
DistributionFitTest — 验证数据与分布的拟合度
分布
NormalDistribution — 参数分布 ...
SmoothKernelDistribution — 非参数分布
TransformedDistribution — 导出分布
随机过程 »
RandomFunction — 模拟随机过程
TemporalData — 表示一个或者几个时间序列数据
EstimatedProcess — 从数据估计过程参数
SliceDistribution ▪ Mean ▪ CovarianceFunction
过程
PoissonProcess — 参数式过程 ...
ARMAProcess — 时间序列过程 ...
ItoProcess — 随机微分方程过程 ...
生存分析 »
EventData — 表示删失和删截数据
Median ▪ SurvivalModelFit ▪ CoxModelFit
可靠性分析 »
ReliabilityDistribution — 基于可靠性方框图的寿命分布
