Probability Distributions Explorer

The Probability Distributions Explorer is a web-based application that helps users understand various statistical distributions through visualization and interactive parameter manipulation. The application is built with R Shiny and deployed using shinylive. Check out the live application at https://shiny.thecoatlessprofessor.com/probability-distribution-explorer/

With the shiny app, you can:

• Visualize distributions: View the probability density function and cumulative distribution function
• Distribution comparison: Compare any two distributions side by side
• Probability region calculation: Calculate probabilities for specific intervals
• Central Limit Theorem demonstration: Visualize the sampling distribution of means

Deployment

This application is deployed using shinylive, allowing it to run directly in the browser without requiring an R server. Shinylive converts the R code to WebAssembly, making it possible to run R applications entirely client-side.

Local Development Environment

1. Clone the repository:

git clone https://github.com/coatless-shiny/probability-distributions-explorer.git

2. Open the probability-distributions-explorer.Rproj

3. Install required R packages:

install.packages(c("shiny", "ggplot2", "dplyr", "tidyr", "bslib", "shinylive"))

4. Run the application:

shiny::runApp()

5. Check if the application can be converted to {shinylive}:

shinylive::export(".", "_site")

Acknowledgments

• Built using the R Shiny framework
• Uses the bslib package for Bootstrap 5 theming
• Deployed using shinylive for browser-based execution