Power Law Distribution Exponent Calculation Tool

This is a program designed for calculating power law distribution exponents. Power law distribution represents a common probability distribution pattern observed across numerous natural phenomena and social systems. The program enables users to evaluate whether a given dataset conforms to power law distribution characteristics. Through its implementation, users can input data arrays for comprehensive analysis, including exponent calculation algorithms (typically using maximum likelihood estimation or linear regression on log-log plots) and generation of power law distribution curves using plotting libraries like matplotlib. The system incorporates statistical computation modules that provide key metrics including mean, variance, and standard deviation calculations. By leveraging these statistical outputs through functions like numpy.std() for standard deviation and numpy.var() for variance, users gain deeper insights into distribution properties and characteristics. Consequently, this tool finds applications across multiple disciplines such as physics, biology, sociology, and finance research.