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THE FEUTEX TOOLKIT

Markov Nonnegative Tail Bound

Bound exceedance probability for a nonnegative random quantity from its expected value.

Probability workspace● Runs in your browser
01 Your input
02 Your result
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FormulaUpper Bound = min(1,mean/threshold)
Sources and model references

Made for real tasks

  • Bound exceedance probability for a nonnegative random quantity from its expected value.
Explore step-by-step workflows →

Worked example

Inputs

Expected value
5 number
Positive threshold
20 number

Expected results

Upper Bound
0.25 probability

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 expected value, positive threshold.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "mean": 5,
  "threshold": 20
}

Accuracy and scope

The random variable must be nonnegative. This bound does not estimate the actual tail frequency.

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.