# Pareto distribution (percentile) Calculator

## Calculates the percentile from the lower or upper cumulative distribution function of the pareto distribution.

 cumulative mode lower P upper Q cumulative distribution 0≦P,Q≦1 scale parameter xm shape parameter α 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal Pareto\ distribution\\[10](1)\ probability\ density\\\hspace{30}f(x,x_{m},\alpha)={\large\frac{\alpha x_{m}^{\alpha}}{x^{\alpha + 1}}}\\(2)\ lower\ cumulative\ distribution\\\hspace{30}P(x,x_{m},\alpha)={\large\int_{\hspace{15}\small x_{m}}^{\hspace{25}\small x}}f(x,x_{m},\alpha)dx={\large 1 - \left( \frac{x_{m}}{x} \right)^{\alpha} }\\(3)\ upper\ cumulative\ distribution\\\hspace{30}Q(x,x_{m},\alpha)={\large\int_{\hspace{5}\small x}^{\hspace{25}\small \infty}}f(x,x_{m},\alpha)dx={\large \left( \frac{x_{m}}{x} \right)^{\alpha} }\\$
Pareto distribution (percentile)
 [0-0] / 0 Disp-Num5103050100200
The message is not registered.

Sending completion

To improve this 'Pareto distribution (percentile) Calculator', please fill in questionnaire.
Male or Female ?
Male Female
Age
Under 20 years old 20 years old level 30 years old level
40 years old level 50 years old level 60 years old level or over
Occupation
Elementary school/ Junior high-school student
High-school/ University/ Grad student A homemaker An office worker / A public employee
Self-employed people An engineer A teacher / A researcher
A retired person Others
Useful?
Very Useful A little Not at All
Purpose of use?