beta4dist 0.1.0

A Python package for the Four-Parameter Beta Distribution and Likelihood-Based Estimation

beta4dist

beta4dist is a Python package designed for working with the four-parameter beta distribution and implementing likelihood-based estimation methods for its parameters. The package provides functions for generating samples, fitting the four-parameter beta distribution, and performing likelihood-based estimation (LBE).

Description

The goal of beta4dist is to provide an easy-to-use interface for:

• Sampling from the four-parameter beta distribution.
• Fitting the four-parameter beta distribution using likelihood-based estimation.
• Implementing various estimation techniques for parameter inference.

This package is useful for statistical modeling and simulation, especially in situations where data follow a beta distribution but with additional flexibility due to the four-parameter formulation.

Installation

To install beta4dist, you can use the following command:

pip install beta4dist

Alternatively, you can clone the repository and install it locally:

git clone https://github.com/soham39039820/beta4dist.git
cd beta4dist
pip install .

Examples

Here are some basic examples demonstrating how to use beta4dist for generating samples and performing likelihood-based estimation.

1. Generate Samples from the Four-Parameter Beta Distribution

You can generate samples from the four-parameter beta distribution using the r4beta function:

from beta4dist.distribution import r4beta

# Generate 1000 samples from a 4-parameter beta distribution
samples = r4beta(1000, 2, 3, 0.5, 0.5)
print(samples[:10])  # Print the first 10 samples

2. Fit the Four-Parameter Beta Distribution Using Likelihood-Based Estimation

You can fit the distribution to your data using the LBE4beta function:

from beta4dist.beta4_model import LBE4beta

# Generate sample data
import numpy as np
samples = r4beta(1000, 2, 3, 0.5, 0.5)

# Perform likelihood-based estimation
params = LBE4beta(samples)

print("Estimated Parameters:", params)

3. Example Test Cases

The package also includes pre-defined tests to ensure that the model works as expected. You can run these tests using pytest:

pytest

This will execute the tests and report any issues.

Licensing

beta4dist is licensed under the MIT License.

References

For more information on the four-parameter beta distribution and its applications, please refer to the paper:

• Paper Title: "SoftwareX: Efficient Statistical Modeling with the Four-Parameter Beta Distribution"
• Authors: [Your Name], [Collaborators]
• DOI: [DOI Link]

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For more information, bug reports, or feature requests, please open an issue or a pull request on the GitHub repository.