ToolJovia
Math

Uncensored Weibull Lifetime Fit

Fit a zero-location two-parameter Weibull model to uncensored positive lifetimes with a bounded likelihood-root witness.

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How to use Uncensored Weibull Lifetime Fit

Log-shifted power sums avoid direct large powers. The uncensored likelihood reduces to one shape equation; bisection brackets its decreasing score over [0.05, 100]. The fitted scale follows from the log mean power, and the export retains the floating-score root bracket, residual and model quantiles.

  1. Enter complete lifetime json array.
  2. Choose the stated convention and check the units and supported model.
  3. Calculate, inspect the result, then copy or download it.

Good to know

  • 3–500 complete positive lifetimes in one unit, from 1e-9 through 1e9. No censored observations or fitted location parameter. Equal data, roots outside shape [0.05, 100],nonfinite output or failed residual checks are refused. The bracket follows floating-point score signs and is not a rigorous mathematical error bound. Approximate likelihood fit; small samples can be biased and model adequacy is not tested. No confidence bounds, accelerated-life model, clinical prognosis or reliability/safety guarantee. Quantiles are hypothetical consequences of the fitted distribution, not promised future lifetimes.
  • Local calculation only; no input persistence or external lookup. Text/JSON is limited to 30000 characters and output to 1000000 characters. Numeric model inputs and precision/work limits are stated on this page. Approximate JSON numbers retain full stored values; exact arithmetic outputs retain decimal or fraction strings. Unsupported states fail explicitly.

Common questions

Can I include an item that has not failed yet?

No. Its observed duration is right censored and must not be treated as an exact failure. Use the Kaplan-Meier workflow for the supported nonparametric censored-data summary; this fit accepts complete lifetimes only.

Is the input uploaded or saved?

No. The tool calculates inside this browser tab and provides a local download; it does not persist your input.

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