Rozkład Pareta – Wikipedia, wolna encyklopedia

${\displaystyle x_{\mathrm {m} }>0}$ parametr skali (liczba rzeczywista)
${\displaystyle k>0}$ parametr kształtu (liczba rzeczywista)

${\displaystyle x\in [x_{\mathrm {m} };+\infty )}$

${\displaystyle {\frac {k\,x_{\mathrm {m} }^{k}}{x^{k+1}}}}$

${\displaystyle 1-\left({\frac {x_{\mathrm {m} }}{x}}\right)^{k}}$

${\displaystyle {\frac {k\,x_{\mathrm {m} }}{k-1}}}$ dla ${\displaystyle k>1}$

${\displaystyle x_{\mathrm {m} }{\sqrt[{k}]{2}}}$

${\displaystyle x_{\mathrm {m} }}$

${\displaystyle {\frac {x_{\mathrm {m} }^{2}k}{(k-1)^{2}(k-2)}}}$ dla ${\displaystyle k>2}$

${\displaystyle {\frac {2(1+k)}{k-3}}\,{\sqrt {\frac {k-2}{k}}}}$ dla ${\displaystyle k>3}$

${\displaystyle {\frac {6(k^{3}+k^{2}-6k-2)}{k(k-3)(k-4)}}}$
dla ${\displaystyle k>4}$

${\displaystyle \ln \left({\frac {k}{x_{\mathrm {m} }}}\right)-{\frac {1}{k}}-1}$

nieokreślona

${\displaystyle k(-ix_{\mathrm {m} }t)^{k}\Gamma (-k,-ix_{\mathrm {m} }t)}$

Vilfredo Pareto