Weibull distribution

Positive durations where completion or failure likelihood changes with elapsed time.

On this page
  1. Shape
  2. Use & avoid

Shape

Shape previewPositive; the shape parameter controls whether values cluster early or later.
Relative density
Duration (seconds)
scale
6 s

Use & avoid

Use when
Positive durations where completion or failure likelihood changes with elapsed time.
Avoid when
The process is genuinely memoryless; exponential is simpler there.
Support
Positive values with no upper bound.
Parameters
Shape and scale; shape controls how the event hazard changes with elapsed time.
Common mistake
Interpreting every Weibull as an aging failure model; shape below, at, or above 1 implies different hazard behavior.
Example
Reliability or task-completion times whose hazard changes as time passes.