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 SortPDFSource
   • 📍 Merge SortPDFSource
   • 📍 Bubble SortPDFSource
   • 📍 Selection SortPDFSource
   • 📍 Insertion SortPDFSource
   • 📍 Shell SortPDFSource

2. 📌 Searching

   • 📍 Binary SearchPDFSource
   • 📍 Interpolation SearchPDFSource
   • 📍 Jump SearchPDFSource
   • 📍 Linear SearchPDFSource

3. 📌 Bayesian

   • 📍 Computing Integral with Monte CarloPDFSource
   • 📍 Rejection SamplingPDFSource
   • 📍 Highest Posterior density IntervalPDF

4. 📌 Machine Learning

   • 📍 Linear RegressionPDFSource
   • 📍 Ridge RegressionPDFSource

5. 📌 Statistical Algorithm

   • 📍 Naive Density EstimatePDF
   • 📍 Kernel Density EstimatePDF
   • 📍 GQ,BPG,Whites and KB TestPDF
   • 📍 Dublin-Watson TestPDF
   • 📍 EM Estimate of mixture modelsPDF
   • :round-pushpin: MLE of weibull distributionPDF

6. 📌 Linear Algebra

   • 📍 LU Matrix FactorizationPDFSource
   • 📍 RREF using Gauss EliminationPDFSource
   • 📍 Cholesky DecompositionPDFSource
   • 📍 DeterminantPDFSource
   • 📍 InversePDFSource
   • 📍 Eigenvalues and Eigenvectors using Power MaethodPDFSource
   • 📍 Eigenvalue and Eigenvector using JACOBI methodPDF

7. 📌 Mathematics

   • 📍 BisectionPDFSource

Credit Card Fraud Detection using Random Forest using Julia from ScratchPDF

A simple coin tossing ExperimentsPDF

Cross ValidationPDF

Infimum of Inverse Gamma DistributionPDF

ArchivedPDFPDF