Pareto Distribution
  • is a skewed, heavy-tailed distribution that is sometimes used to model the distribution of incomes

Cumulative Distribution Function

Pareto Type I cumulative distribution functions for various 𝛼 with 𝑥𝑚=1

Probability Density Function

Pareto Type I probability density functions for various 𝛼 with 𝑥𝑚=1As 𝛼→∞ the distribution approaches 𝛿(𝑥 - 𝑥𝑚), where 𝛿 is the Dirac delta function