Statistical Programming To Do List

To Do List for Statistical Programming Functionality in Julia

The following is a list of basic objects needed in a statistical programming language.

• Data Storage Tools
  • Key-Value Stores
  • Tabular Data Stores
    • RDBMS
    • DataFrames
  • Types of access to data:
    • Random Access
    • Sequential Access: Row-by-Row, Column-By-Column, Entry-by-Entry
    • Limited Memory
• Computation of Real-Valued Statistics
  • Mean
  • Median
  • Mode
  • Variance
  • Standard Deviation
  • Skew
  • Kurtotis
  • k-Th Moments
  • k-th Centered Moments
  • Entropy
  • Quantiles
  • Support
  • PDF/PMF
  • Quantiles
  • CDF
  • Moment-Generating Function
  • Characteristic Function
• Loss Functions
  • Squared Error
  • Absolute Error
• Probability Distributions
  • Normal
  • Cauchy
  • Student's t
  • F
• Hypothesis Tests
  • t-tests
  • Permutation tests
  • Wald tests
  • K/S tests
  • Binomial tests
• Regression Algorithms
  • OLS
  • LAD
  • Ridge
  • LASSO
  • GAM (Generalized Additive Models)
• Classification Algorithms
  • Logistic Regression
  • kNN
  • Naive Bayes
• Dimensionality Reduction Algorithms
  • PCA
  • ICA
  • NMF
• Visualization Algorithms and Tools
  • MDS
  • Plotting Libraries
• Clustering Algorithms
  • k-Means
  • dp-Means
• Text Analysis
  • Bag of Words
  • N-Grams
  • Word Count Tools
  • LDA
• Social Network Analysis
  • Graph representations
• Time Series Analysis
  • AR
  • ARCH
  • ARIMA