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https://github.com/chaoses-ib/statistics


https://github.com/chaoses-ib/statistics

data-mining data-science maching-learning statistics

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README 

        
# [Statistics](Statistics.md)

- [Libraries](Libraries.md)



## [Probability Theory](Probability/README.md)

- [Bayes' Theorem](Probability/Bayes'%20Theorem.md)



## Descriptive Statistics

- Dispersion

  - [Variance](Descriptive/Dispersion/Variance.md)



## [Statistical Inference](Inference/README.md)

- [Statistical Distances](Inference/Distances/README.md)

  - [Cross-entropy](Inference/Distances/Cross-entropy.md)

- [Probability Density Estimation](Inference/Probability%20Density/README.md)

  - [Kernel Density Estimation](Inference/Probability%20Density/Kernel%20Density%20Estimation.md)

- [Bayesian Inference](Inference/Bayesian/README.md)

  - [Conjugate Priors](Inference/Bayesian/Conjugate%20Priors.md)

  - [Maximum A Posteriori Estimation](Inference/Bayesian/Maximum%20A%20Posteriori%20Estimation.md)

- [Probabilistic Graphical Models](Inference/Graphical/README.md)

  - [Directed Probabilistic Graphical Models](Inference/Graphical/Directed/README.md)

  - [Undirected Probabilistic Graphical Models](Inference/Graphical/Undirected/README.md)

    - [Conditional Random Fields](Inference/Graphical/Undirected/Conditional/README.md)

      - [使用线性条件随机场实现中文分词](Inference/Graphical/Undirected/Conditional/使用线性条件随机场实现中文分词.md)



## [Multivariate Statistics](Multivariate/README.md)

- [Random Vectors and Matrices](Multivariate/Random%20Vectors%20and%20Matrices.md)

- [Multivariate Normal Distribution](Multivariate/Multivariate%20Normal%20Distribution.md)



### [Data Preprocessing](Multivariate/Data%20Preprocessing/README.md)

- [Data Quality](Multivariate/Data%20Preprocessing/Data%20Quality/README.md)

  - [Missing Values](Multivariate/Data%20Preprocessing/Data%20Quality/Missing%20Values.md)

- [Dimensionality Reduction](Multivariate/Data%20Preprocessing/Dimensionality%20Reduction/README.md)

  - [Principal Component Analysis](Multivariate/Data%20Preprocessing/Dimensionality%20Reduction/Principal%20Component%20Analysis.md)

  - [UV-Decomposition](Multivariate/Data%20Preprocessing/Dimensionality%20Reduction/UV-Decomposition.md)

  - [Manifold Learning](Multivariate/Data%20Preprocessing/Dimensionality%20Reduction/Manifold%20Learning/README.md)

    - [Multidimensional Scaling](Multivariate/Data%20Preprocessing/Dimensionality%20Reduction/Manifold%20Learning/Multidimensional%20Scaling.md)

- [Feature Engineering](Multivariate/Data%20Preprocessing/Feature%20Engineering/README.md)

  - [Polynomial Feature Transform](Multivariate/Data%20Preprocessing/Feature%20Engineering/Polynomial%20Feature%20Transform.md)

  - [Featuretools](Multivariate/Data%20Preprocessing/Feature%20Engineering/Featuretools.md)



### Finding Similar Items

- [Measures of Similarity and Dissimilarity](Multivariate/Finding%20Similar%20Items/Measures%20of%20Similarity%20and%20Dissimilarity.md)

  - [Binary Similarity Measures](Multivariate/Finding%20Similar%20Items/Binary%20Similarity%20Measures.md)

  - [Edit Distance](Multivariate/Finding%20Similar%20Items/Edit%20Distance/README.md)

    - [Levenshtein Distance](Multivariate/Finding%20Similar%20Items/Edit%20Distance/Levenshtein%20Distance.md)

- [Near-Neighbor Search](Multivariate/Finding%20Similar%20Items/Near-Neighbor%20Search.md)

- [Shingling of Documents](Multivariate/Finding%20Similar%20Items/Shingling%20of%20Documents.md)

- [Similarity-Preserving Summaries of Sets](Multivariate/Finding%20Similar%20Items/Similarity-Preserving%20Summaries%20of%20Sets.md)

- [Locality-Sensitive Hashing for Documents](Multivariate/Finding%20Similar%20Items/Locality-Sensitive%20Hashing%20for%20Documents.md)



### [Clustering](Multivariate/Clustering/README.md)

- Representative-based Clustering

  - [K-means Clustering](Multivariate/Clustering/Representative-based/K-means.md)

  - [Expectation-Maximization Clustering](Multivariate/Clustering/Representative-based/Expectation-Maximization%20Clustering.md)

- Density-based Clustering

  - [DBSCAN](Multivariate/Clustering/Density-based/DBSCAN.md)

- [Hierarchical Clustering](Multivariate/Clustering/Hierarchical/README.md)

  - [Agglomerative Hierarchical Clustering](Multivariate/Clustering/Hierarchical/Agglomerative%20Hierarchical%20Clustering.md)

- Fuzzy Clustering

  - [Fuzzy C-means Clustering](Multivariate/Clustering/Fuzzy/Fuzzy%20C-means%20Clustering.md)

- [Clustering Validation](Multivariate/Clustering/Validation/README.md)

  - [External Measures](Multivariate/Clustering/Validation/External%20Measures.md)

  - [Internal Measures](Multivariate/Clustering/Validation/Internal%20Measures.md)

  - [Relative Measures](Multivariate/Clustering/Validation/Relative%20Measures.md)



### [Classification](Multivariate/Classification/README.md)

- [Classification Assessment](Multivariate/Classification/Classification%20Assessment/README.md)

  - [Performance Measures](Multivariate/Classification/Classification%20Assessment/Performance%20Measures.md)

    - [Positive and Negative Predictive Values](Multivariate/Classification/Classification%20Assessment/Positive%20and%20Negative%20Predictive%20Values.md)

  - [Model Evaluation](Multivariate/Classification/Classification%20Assessment/Model%20Evaluation.md)

    - [Model Overfitting](Multivariate/Classification/Classification%20Assessment/Model%20Overfitting.md)

  - [Receiver Operating Characteristic Analysis](Multivariate/Classification/Classification%20Assessment/Receiver%20Operating%20Characteristic%20Analysis.md)

- Probabilistic Classification

  - [Bayes Classifier](Multivariate/Classification/Probabilistic/Bayes%20Classifier.md)

- [Decision Tree Classifier](Multivariate/Classification/Decision%20Tree%20Classifier/README.md)

  - [Random Forest](Multivariate/Classification/Decision%20Tree%20Classifier/Random%20Forest.md)

- [Support Vector Machine](Multivariate/Classification/Support%20Vector%20Machine/README.md)



### [Regression Analysis](Multivariate/Regression/README.md)

- Linear Regression

- [Logistic Regression](Multivariate/Regression/Logistic/README.md)

  - [Multinomial Logistic Regression](Multivariate/Regression/Logistic/Multinomial.md) ([Python](Multivariate/Regression/Logistic/Multinomial.ipynb))



### [Link Analysis](Multivariate/Link%20Analysis/README.md)

- [Web Graph](Multivariate/Link%20Analysis/Web%20Graph.md)

- [PageRank](Multivariate/Link%20Analysis/PageRank/README.md)

  - [Topic-Sensitive PageRank](Multivariate/Link%20Analysis/PageRank/Topic-Sensitive%20PageRank.md)

  - [Link Spam](Multivariate/Link%20Analysis/PageRank/Link%20Spam.md)

  - [Hubs and Authorities](Multivariate/Link%20Analysis/PageRank/Hubs%20and%20Authorities.md)



### Association Analysis

- [Itemset and Association Rule](Multivariate/Association%20Analysis/Itemset%20and%20Association%20Rule.md)

- [Itemset Mining](Multivariate/Association%20Analysis/Itemset%20Mining.md)

- [Association Rule Mining](Multivariate/Association%20Analysis/Association%20Rule%20Mining.md)

- [Compact Representation of Itemsets](Multivariate/Association%20Analysis/Compact%20Representation%20of%20Itemsets.md)

- Assessment

  - [Objective Measures of Interestingness](Multivariate/Association%20Analysis/Assessment/Objective%20Measures%20of%20Interestingness.md)



### [Recommendation Systems](Multivariate/Recommendation%20Systems/README.md)

- [Content-Based Recommendations](Multivariate/Recommendation%20Systems/Content-Based%20Recommendations/README.md)

- [Collaborative Filtering](Multivariate/Recommendation%20Systems/Collaborative%20Filtering/README.md)

  - [Clustering Users and Items](Multivariate/Recommendation%20Systems/Collaborative%20Filtering/Clustering%20Users%20and%20Items.md)

- [Resource](Multivariate/Recommendation%20Systems/Resource.md)

- [Services](Multivariate/Recommendation%20Systems/Services.md)