omarbenites / comp_stats

Implementation of statistical methods.

This repository is for learning purpouses. It covers from set theory to more advanced methods in statistics.

Computer representation of numbers

• [] Binary representation for Interger (unsigned, only naturals include 0; and, signed, naturals and negatives numbers)
• [] Binary representation for floating
• [] Binary representation for characters

Set Theory

• Union sets (in R)
• Intersection sets (in R)

Desc. Statistics

• Mean (media.cpp and variance.R)
• Varianze (variance.cpp and variance.R)
• Standardization (standardization.cpp trough header files)
• Range (range.cpp)
• Percentile
• Interquartile range

Online Statistical ALgorithm

1. Variance algorithm

• https://en.wikipedia.org/wiki/Algorithms_for_calculating_variance

2. Welford Algorithm

• http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.302.7503&rep=rep1&type=pdf
• https://bayesfactor.blogspot.com/2016/05/numerical-pitfalls-in-computing-variance.html
• https://www.johndcook.com/blog/standard_deviation/
• https://github.com/SurajGupta/r-source/blob/a28e609e72ed7c47f6ddfbb86c85279a0750f0b7/src/library/stats/src/cov.c

Probabilty

• Bernoulli, Binomail and Uniform distribution (R and cpp)
• Poisson and Geometric distribution (R and cpp)
• Gamma and Beta distribution (R and cpp)

Inference

• Sampling with replacement
• Sampling without replacement
• t test
• T.B.D