How this calculation works
Estimate the fraction of a Pareto population above a threshold.
THE FORMULA
P(X>x)=(xₘ/x)^α for x≥xₘA worked example
A threshold twice the minimum gives a one-in-eight tail when shape is 3.
Good to know
This uses a Type I Pareto with a strictly positive minimum.
Reference: OpenStax Introductory Statistics (opens in a new tab) ↗
Read the result
Estimate the fraction of a Pareto population above a threshold.
The primary result is labeled “Upper tail probability”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
This uses a Type I Pareto with a strictly positive minimum.
For a related exercise, try the statistics calculator.
A few questions, answered
How can I check the default inputs by hand?
A threshold twice the minimum gives a one-in-eight tail when shape is 3.
Which rule does this calculator apply?
P(X>x)=(xₘ/x)^α for x≥xₘ