## 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

:warning: 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

- :pushpin:
**Sorting**
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**Searching**
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**Bayesian**
- :round_pushpin:
*Computing Integral with Monte Carlo* PDF Source
- :round_pushpin:
*Rejection Sampling* PDF Source
- :round_pushpin:
*Highest Posterior density Interval* PDF

- :pushpin:
**Machine Learning**
- :pushpin:
**Statistical Algorithm**
- :round_pushpin:
*Naive Density Estimate* PDF
- :round_pushpin:
*Kernel Density Estimate* PDF
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*GQ,BPG,Whites and KB Test* PDF
- :round_pushpin:
*Dublin-Watson Test* PDF
- :round_pushpin:
*EM Estimate of mixture models* PDF
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*MLE of weibull distribution* PDF

- :pushpin:
**Linear Algebra**
- :round_pushpin:
*LU Matrix Factorization* PDF Source
- :round_pushpin:
*RREF using Gauss Elimination* PDF Source
- :round_pushpin:
*Cholesky Decomposition* PDF Source
- :round_pushpin:
**Determinant** PDF Source
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**Inverse** PDF Source
- :round_pushpin:
**Eigenvalues and Eigenvectors using Power Maethod** PDF Source
- :round_pushpin:
**Eigenvalue and Eigenvector using JACOBI method** PDF

- :pushpin:
**Mathematics**

*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