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.
- Enter complete lifetime json array.
- Choose the stated convention and check the units and supported model.
- 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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