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THE FEUTEX TOOLKIT

Burr XII Tail Distribution

Explore two-shape tail probabilities for positive continuous data.

Probability workspace● Runs in your browser
01 Your input
02 Your result
View or copy raw result data
FormulaSurvival = (1+(x/scale)**c)**(-d); Density = c*d/scale*(x/scale)**(c-1)*(1+(x/scale)**c)**(-d-1); Median = scale*(2**(1/d)-1)**(1/c)
Sources and model references

Made for real tasks

  • Explore two-shape tail probabilities for positive continuous data.
Explore step-by-step workflows →

Worked example

Inputs

Shape c
2 number
Shape d
3 number
Scale
5 number
Positive value
4 number

Expected results

Survival
0.2267088406 probability
Density
0.132707614 number
Median
2.549122643 number

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter shape c, shape d, scale, positive value.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "c": 2,
  "d": 3,
  "scale": 5,
  "x": 4
}

Accuracy and scope

Burr XII parameterization with zero location; does not estimate distribution parameters.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.