R Programs & Execution – Abhirup Moitra Blogs

Author

Abhirup Moitra

Fractal Trees in R

“In the intricate dance of chaos, fractals emerge as the poetry of geometry, revealing the beauty of infinity in finite form.”

The Law of Large Numbers & Central Limit Theorems

Probability Theory

Definition: The Law of Large Numbers states that as the sample size increases (or as the number of trials in an experiment increases), the sample mean (or what) converges in…

Simulation of Coin Tossing

Probability Theory

Simulation is a method used to examine the “what if” without having real data. We just make it up! We can use pre-programmed functions in R to simulate data from different…

Simulating Probability Problem

Probability Theory

The frequentist interpretation of conditional probability based on a large number

n

of repetitions of an experiment is

P (A | B) \approx n_{A B} / n_{B}

n_{A B}

Matrix Algebra with R

A vector is a one-dimensional array of n numbers. A vector is substantially a list of variables, and the simplest data structure in R. A vector consists of a collection of…

Elementary Probability Distribution

Probability Theory

R comes with built-in implementations of many probability distributions. This document will show how to generate these distributions in R by focusing on making plots, and so…

Classical Theory of Probability

Probability Theory

The mathematical framework for probability is built around sets. Imagine that an experiment is performed, resulting in one out of a set of possible outcomes. Before the…

Graphing of Functions Using R

The topic of calculus is fundamentally about mathematical functions and the operations that are performed on them. The concept of “mathematical function” is an idea. If we…

Programming and Visulization Golden Spiral

Most of you will have heard about the number called the golden ratio. It appears, for example, in the book/film The da Vinci Code and in many articles, books, and school…