# Pareto distribution (chart) Calculator

## Calculates a table of the probability density function, or lower or upper cumulative distribution function of the pareto distribution, and draws the chart.

 select function probability density flower cumulative distribution Pupper cumulative distribution Q scale parameter xm shape parameter α [ initial percentile x increment repetition]
 $\normal Pareto\ distribution\\[10](1)\ probability\ density\\\hspace{30}f(x,x_{m},\alpha)={\large\frac{\alpha x_{m}^{\alpha}}{x^{\alpha + 1}}}\\(2)\ lower\ cumulative\ distribution\\\hspace{30}P(x,x_{m},\alpha)={\large\int_{\hspace{15}\small x_{m}}^{\hspace{25}\small x}}f(x,x_{m},\alpha)dx={\large 1 - \left( \frac{x_{m}}{x} \right)^{\alpha} }\\(3)\ upper\ cumulative\ distribution\\\hspace{30}Q(x,x_{m},\alpha)={\large\int_{\hspace{5}\small x}^{\hspace{25}\small \infty}}f(x,x_{m},\alpha)dx={\large \left( \frac{x_{m}}{x} \right)^{\alpha} }\\$

Pareto distribution (chart)
 [0-0] / 0 Disp-Num5103050100200
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