Distribution | Probability function P(x) |
---|---|
Power law | \(x^{-\alpha }\) |
Truncated power law | \(x^{-\alpha }e^{-\lambda x}\) |
Exponential | \(e^{-\lambda x}\) |
Stretched exponential | \(x^{\beta -1}e^{-\lambda x^{\beta }}\) |
Log-normal | \(\frac{1}{x}\exp [-\frac{(\ln x-\mu )^{2}}{2\sigma ^{2}}]\) |