Guess the Beta – Weibull Distribution Estimation Game
Estimate Weibull shape (β) and scale (η) parameters across 5 rounds of simulated equipment failure histograms with failure physics explanations.
Weibull Histogram Challenge
How to Play
1Analyze 70 simulated time-to-failure data points plotted on an equipment failure frequency histogram.
2Estimate the Weibull Shape Parameter (β): choose whether the asset exhibits infant mortality (β < 1), random failures (β ≈ 1), or wear-out (β > 1).
3Estimate the Characteristic Scale Life (η): predict the 63.2% cumulative failure time.
4Score up to 1,000 points per round (5,000 max) and read the physics explanation of the failure mode.
What You Will Learn
Visual and mathematical intuition for Weibull distribution shapes, the bathtub curve phases, characteristic life determination, and real-world failure mode identification.
Frequently Asked Questions
Is it free to play?
Yes, Guess the Beta is completely free with unlimited replays.
Do I need to create an account?
No account required. Your personal best scores and accuracy ratings are preserved in local browser storage.
What will I learn from Guess the Beta?
You will train your visual and statistical intuition for estimating Weibull shape parameters (infant mortality beta < 1, random failure beta = 1, wear-out beta > 1) and characteristic scale life from equipment breakdown histograms.