/Kurtosis

Simple Kurtosis

Primary LanguageJupyter NotebookMIT LicenseMIT

Kurtosis Calculation and Comparison

This Python script calculates the kurtosis of generated probability density functions (PDFs) for uniform and Gaussian distributions. It compares the results obtained using a custom kurtosis function with those from Python's pre-made library function.

Functionality

The script performs the following steps:

  1. Generate PDFs:

    • Generates a uniform distribution and a Gaussian (normal) distribution.

  2. Calculate Kurtosis:

    • Uses a custom kur function to calculate the kurtosis of the distributions.
    • Calculates the kurtosis using Python's built-in kurtosis function.

  3. Compare Results:

    • Compares the kurtosis values obtained from the custom function and the pre-made library function.

  4. Analyzing Differences:

    • Calculates the absolute difference between the kurtosis values obtained from the custom and library functions.
    • Determines if the kurtosis values are consistent and identical across both methods.

Usage

  1. Run the Script:

    • Execute the script in a jupyter environment.

  2. Review Results:

    • Examine the kurtosis values printed to the console.
    • Assess whether the custom function and the pre-made library function yield identical results.

License

This project is licensed under the MIT License.