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API Docs / Microsoft.VisualBasic.Math.Statistics

Microsoft.VisualBasic.Math.Statistics 1.0.9762.11310.

Namespaces 12 Types 60 Members 485

01 Namespaces

Microsoft.VisualBasic.Math.Statistics

The statistics library root: descriptive statistics, hypothesis testing and statistical resampling.

TypeSummary Members
ChiSquareTest 20
Extensions 1
FastICA FastICA (Fast Independent Component Analysis) implementation. 76
FisherTest Fisher's exact test > https://en.wikipedia.org/wiki/Fisher's_exact_test Fisher 's exact test is a statistical significance test used in the analysis of contingency tables.[… 5
FTest 8
LogLikelihood calculates log likelihood between a source and a reference corpus. 1
SpecialFunctions @author Will_and_Sara 24

Microsoft.VisualBasic.Math.Statistics.Distributions

Statistical distributions and their parameter estimation.

TypeSummary Members
ContinuousDistribution @author Will_and_Sara 10
Distribution 21
Skellam Skellam 分布:两个独立 Poisson 变量之差 X = Y1 - Y2 的分布 (Y1 ~ Poisson(lambda1),Y2 ~ Poisson(lambda2))。 本模块移植自 R 语言的 skellam 包 (参见项目 Resources\pskellam.txt、Resources\dskellam.txt、 Resour… 11

Microsoft.VisualBasic.Math.Statistics.Distributions.LinearMoments

Distribution parameter estimation through linear moments (L-moments).

TypeSummary Members
Exponential @author Will_and_Sara 4
GEV @author Will_and_Sara and Micheal Wright 4
Gumbel @author Will_and_Sara 4
Logistic @author Will_and_Sara 4
LogPearsonIII @author Will_and_Sara 4
Pareto @author Will_and_Sara 5

Microsoft.VisualBasic.Math.Statistics.Distributions.MethodOfMoments

Distribution parameter estimation through the method of moments.

TypeSummary Members
Beta @author Will_and_Sara 4
Emperical @author Will_and_Sara 4
Exponential @author Will_and_Sara 4
Gamma @author Will_and_Sara 4
GEV @author Will_and_Sara 4
Gumbel @author Will_and_Sara 4
LogNormal @author Will_and_Sara 6
LogPearsonIII @author Will_and_Sara 5
Normal normal distribution @author Will_and_Sara 9
Rayleigh @author Will_and_Sara 5
Triangular @author Will_and_Sara 7
Uniform @author Will_and_Sara 6

Microsoft.VisualBasic.Math.Statistics.Hypothesis

Statistical hypothesis testing procedures.

TypeSummary Members
Hypothesis 6
MoranTest 9
NullHypothesis 4
t Performs one and two sample t-tests on vectors of data. 5
Topt 4
TtestResult 11

Microsoft.VisualBasic.Math.Statistics.Hypothesis.FishersExact

Fisher's exact test for contingency tables.

TypeSummary Members
FishersExactPvalues FishersExactPvalues holds the pvalues calculated by the fishers_exact function. 6
FishersExactTest Fisher's exact test. Implements a 2×2 Fishers exact test. Use this to test the independence of two categorical variables when the sample sizes are small. For an approachable e… 7

Microsoft.VisualBasic.Math.Statistics.Hypothesis.Mantel

The Mantel test for correlation between distance matrices.

TypeSummary Members
corr 2
Model the test model 6
Result 4
statistical_test 6
stats 13

Microsoft.VisualBasic.Math.Statistics.Hypothesis.Mantel.corr

TypeSummary Members
corr An abstract delegate function for measure the correlation between two given numeric vector 3

Microsoft.VisualBasic.Math.Statistics.MomentFunctions

Statistical moment functions (mean, variance, skewness, kurtosis and related measures).

TypeSummary Members
BasicProductMoments 可以利用这个模块来进行一组数据的正态分布的参数的估计 @author Will_and_Sara 9
BasicProductMomentsHistogram @author Will_and_Sara 0
LinearMoments @author Will_and_Sara 10
ProductMoments In statistics, moments are a set of numerical characteristics that describe the shape and features of a probability distribution. 18

Microsoft.VisualBasic.Math.Statistics.RANSAC

The RANSAC (random sample consensus) robust model fitting algorithm.

TypeSummary Members
Algorithm RANSAC (RANdom SAmple Consensus) is an algorithm for measuring system parameters for some input data. 1

Microsoft.VisualBasic.Math.Statistics.ShapleyValue

Shapley value computation for feature attribution.

TypeSummary Members
CharacteristicFunction represent the following function often written by v 2^N to R for each subset of the set {1.. 4
CoalitionStrategy @author Franck Benault @version 0.0.2 @since 0.0.2 8
IShapExplainer The unified contract of a SHAP explainer. 4
LinearShapExplainer 线性(以及广义线性)模型的解析 SHAP 解释器。 对于线性模型 f(x) = b0 + sum(bi * xi),在背景分布之上关于特征 i 的 精确 Shapley 值为:phi_i = bi * (xi - E[xi]), 而基线值为 b0 + sum(bi * E[xi])。 因此 sum(phi) + baseline = f(x)… 11
ShapExplanation 单个样本的 SHAP 解释结果。 10
ShapleyApplication facade of Shapley application @author Franck Benault @version 0.0.2 @since 0.0.2 4
TreeShapExplainer 基于 TreeSHAP 算法(论文 arXiv:1802.03888)的树集成 SHAP 解释器。 该解释器把多棵 PkTree 的逐特征贡献相加, 并且把所有树的期望值(cover 加权叶值均值)与一个常数偏置项 (TreeShapExplainer.Intercept,例如梯度提升模型的 base score)相加作为最终的基线值。 因此… 9

Microsoft.VisualBasic.Math.Statistics.ShapleyValue.TreeShap

The TreeSHAP algorithm for Shapley value based tree model interpretation.

TypeSummary Members
PathElement Path element for use in ShapAlgo2 9
PkNode 16
PkTree 3
ShapAlgo1 See https://arxiv.org/pdf/1802.03888.pdf - Chapter 3.1, Algorithm 1. 8
ShapAlgo2 Rewrite of the Algorithm 2 from [1]. 3
ShapOptimized 8