yuvnish017 / probability_distributions_comparisons

Verifying various approximations were one probability distribution tends to other probability distribution using MATLAB 2020a

Probability_Distributions_Comparisons

This project was done as a part of B.Tech 3rd Year Course on Probability and Random Processes where I was tried to verify the following approximations and plot the Probability Distribution Functions/ Probability Mass Functions of different Probability Distributions for comparisons.

1. Binomial Distribution tending to Normal Distribution
2. Binomial Distribution tending to Poisson Distribution
3. Poisson Distribution tending to Normal Distribution
4. Hypergeometric Distribution tending to Binomial Distribution

This project was done using MATLAB 2020a.

Contents of Repository: -

1. binomial_and_normal.m - MATLAB code for verifying the approximations where Binomial Distribution tends to Normal Distribution
2. binomial_and_poisson.m - MATLAB code for verifying the approximations where Binomial Distribution tends to Poisson Distribution
3. poisson_and_normal.m - MATLAB code for verifying the approximations where Poisson Distribution tends to Normal Distribution
4. hypergeometric_and_binomial.m - MATLAB code for verifying the approximations where Hypergeometric Distribution tends to Binomial Distribution
5. binomial_vs_normal.pdf - PDF file containing the code and plots for verifying the case
6. binomial_vs_poisson.pdf - PDF file containing the code and plots for verifying the case
7. poisson_vs_normal.pdf - PDF file containing the code and plots for verifying the case
8. hypergeometric_vs_binomial.pdf - PDF file containing the code and plots for verifying the case
9. Report.pdf - Complete report of the project with theory and results.