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THE FEUTEX TOOLKIT

Log-Logistic Lifetime Model

Calculate a log-logistic survival curve and instantaneous hazard at a chosen age.

Probability workspace● Runs in your browser
01 Your input
02 Your result
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FormulaSurvival = 1/(1+(t/alpha)**beta); Hazard = (beta/alpha)*(t/alpha)**(beta-1)/(1+(t/alpha)**beta); Density = (beta/alpha)*(t/alpha)**(beta-1)/(1+(t/alpha)**beta)**2
Sources and model references

Made for real tasks

  • Calculate a log-logistic survival curve and instantaneous hazard at a chosen age.
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Worked example

Inputs

Scale
10 number
Shape
2 number
Elapsed time
8 number

Expected results

Survival
0.6097560976 probability
Hazard
0.09756097561 1/time
Density
0.05948839976 1/time

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 scale, shape, elapsed time.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "alpha": 10,
  "beta": 2,
  "t": 8
}

Accuracy and scope

Nonnegative continuous lifetime model, no location shift; not a fit or survival analysis of censored observations.

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.