README.md

Mini R Programs

This repo is a collection of useful scripts in R that I had made during my time at the Banaras Hindu University. This repo is not meant to be a complete R library but rather a collection of scripts for more minor works from Scratch.

About Me

I am a Research Scholar at the Indian Institute of Technology, Guwahati, in the Department of Mathematics, earlier I had pursued my Masters in Statistics and Computing at Banaras Hindu University at the Centre for Interdisciplinary Mathematical Sciences (CIMS). Currently, my research is focused on the Statistical Machine Learning and its applications.

Contact : rahul.goswami@iitg.ac.in , yuvrajiro@gmail.com

⚠️ I am looking for collaborators specifically for writing a Probabilistic Programming Language using JAX. If you are interested in this, don't hesitate to get in touch with me.

List of scripts

Bisection Method

1. 📌 Sorting

   • 📍 Quick Sort   PDF   Source
   • 📍 Merge Sort   PDF   Source
   • 📍 Bubble Sort   PDF   Source
   • 📍 Selection Sort   PDF   Source
   • 📍 Insertion Sort   PDF   Source
   • 📍 Shell Sort   PDF   Source

2. 📌 Searching

   • 📍 Binary Search   PDF   Source
   • 📍 Interpolation Search   PDF   Source
   • 📍 Jump Search   PDF   Source
   • 📍 Linear Search   PDF   Source

3. 📌 Bayesian

   • 📍 Computing Integral with Monte Carlo   PDF   Source
   • 📍 Rejection Sampling   PDF   Source
   • 📍 Highest Posterior density Interval   PDF

4. 📌 Machine Learning

   • 📍 Linear Regression   PDF   Source
   • 📍 Ridge Regression   PDF   Source

5. 📌 Statistical Algorithm

   • 📍 Naive Density Estimate   PDF
   • 📍 Kernel Density Estimate   PDF
   • 📍 GQ,BPG,Whites and KB Test   PDF
   • 📍 Dublin-Watson Test   PDF
   • 📍 EM Estimate of mixture models   PDF
   • :round-pushpin: MLE of weibull distribution   PDF

6. 📌 Linear Algebra

   • 📍 LU Matrix Factorization   PDF   Source
   • 📍 RREF using Gauss Elimination   PDF   Source
   • 📍 Cholesky Decomposition   PDF   Source
   • 📍 Determinant   PDF   Source
   • 📍 Inverse   PDF   Source
   • 📍 Eigenvalues and Eigenvectors using Power Maethod   PDF   Source
   • 📍 Eigenvalue and Eigenvector using JACOBI method   PDF

7. 📌 Mathematics

   • 📍 Bisection   PDF   Source

Credit Card Fraud Detection using Random Forest using Julia from Scratch   PDF

A simple coin tossing Experiments   PDF

Cross Validation   PDF

Infimum of Inverse Gamma Distribution   PDF

Archived   PDF   PDF