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[probability-weibull] Weibull Probability Plot for Reliability Analysis #4668

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[probability-weibull] Weibull Probability Plot for Reliability Analysis#4668
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approvedApproved for implementationimpl:altair:doneAltair implementation mergedimpl:bokeh:donebokeh implementation mergedimpl:chartjs:donechartjs implementation mergedimpl:d3:doned3 implementation mergedimpl:echarts:doneecharts implementation mergedimpl:ggplot2:doneggplot2 implementation mergedimpl:highcharts:donehighcharts implementation mergedimpl:letsplot:doneletsplot implementation mergedimpl:makie:donemakie implementation mergedimpl:matplotlib:doneMatplotlib implementation mergedimpl:muix:donemuix implementation mergedimpl:plotly:doneplotly implementation mergedimpl:plotnine:doneplotnine implementation mergedimpl:pygal:donepygal implementation mergedimpl:seaborn:doneseaborn implementation mergedspec-readySpecification merged to main

Description

@MarkusNeusinger
MarkusNeusinger
opened on Mar 7, 2026

The standard plot in reliability engineering and failure analysis. Data plotted on Weibull probability paper (log-log axes) with fitted line. Used for lifetime prediction, failure forecasting, and warranty analysis across all engineering disciplines.

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  1. MarkusNeusinger
    added
    spec-requestNew specification request
    on Mar 7, 2026
  2. github-project-automation
    added this to Plot Backlogon Mar 7, 2026
  3. github-project-automation
    moved this to Todo in Plot Backlogon Mar 7, 2026

  4. claude commented on Mar 7, 2026

    @claude
    claudeBot
    on Mar 7, 2026 – with Claude
    Contributor

    ✅ Spec ID: probability-weibull

    Rationale: A Weibull probability plot is a well-established reliability engineering visualization — no existing spec covers this. The ID follows the {type}-{variant} pattern using "probability" as the plot type and "weibull" as the variant, consistent with qq-basic and pp-basic for other statistical probability plots.

  5. github-actions
    added a commit that references this issue on Mar 7, 2026

    spec: add probability-weibull specification

    c6c3b0f
  6. claude
    changed the title [-]Weibull Probability Plot for Reliability Analysis[/-] [+][probability-weibull] Weibull Probability Plot for Reliability Analysis[/+] on Mar 7, 2026

  7. github-actions commented on Mar 7, 2026

    @github-actions
    github-actionsBot
    on Mar 7, 2026 – with GitHub Actions
    Contributor

    ✅ Specification Ready: probability-weibull

    PR: #4683

    specification.md

    probability-weibull: Weibull Probability Plot for Reliability Analysis

    Description

    A Weibull probability plot displays failure or lifetime data on Weibull probability paper (logarithmic x-axis for time/cycles, linearized Weibull CDF on y-axis) with a fitted straight line. It is the standard tool in reliability engineering for estimating Weibull distribution parameters (shape and scale), assessing whether data follow a Weibull distribution, and extrapolating failure probabilities. The slope of the fitted line gives the shape parameter (beta), while the characteristic life (eta) is read at the 63.2% failure probability crossing.

    Applications

    • Predicting product warranty returns by fitting field-failure data and extrapolating to future time periods
    • Comparing fatigue-life distributions of two material batches to determine which has higher reliability
    • Estimating B10 life (time at which 10% of units fail) for bearing or component qualification testing

    Data

    • time_to_failure (numeric) - observed failure or censoring time in hours, cycles, or miles
    • cumulative_probability (numeric) - estimated cumulative failure probability for each data point (median rank or similar estimator)
    • is_censored (boolean) - whether the observation is right-censored (suspended) rather than a true failure
    • Size: 10-100 failure observations
    • Example: turbine blade fatigue-life data with a mix of failures and suspensions

    Notes

    • X-axis should use a logarithmic scale; y-axis should use a linearized Weibull scale (ln(-ln(1-F))) so that Weibull-distributed data plots as a straight line
    • Display the fitted line with annotated shape parameter (beta) and scale parameter (eta)
    • Use median rank approximation (i-0.3)/(n+0.4) for plotting positions
    • Distinguish censored points visually (e.g., hollow markers vs filled markers for failures)
    • Include a horizontal reference line at 63.2% cumulative probability (characteristic life)

    Next: Add approved label to merge this specification to main.

    🤖 spec-create workflow

  8. MarkusNeusinger
    added
    approvedApproved for implementation
    on Mar 7, 2026
  9. github-actions
    added a commit that references this issue on Mar 7, 2026

    spec: add probability-weibull specification (#4683)

    3943a1f
  10. github-actions
    added
    spec-readySpecification merged to main
    and removed
    spec-requestNew specification request
    on Mar 7, 2026

  11. github-actions commented on Mar 7, 2026

    @github-actions
    github-actionsBot
    on Mar 7, 2026 – with GitHub Actions
    Contributor

    🚀 Specification Merged!

    Specification: probability-weibull
    PR: #4683 (merged)

    The specification is now in main and synced to PostgreSQL.

    Next: Add generate:{library} labels to start generating implementations.

    Available libraries: matplotlib, seaborn, plotly, bokeh, altair, plotnine, pygal, highcharts, letsplot

    Or use workflow dispatch for bulk operations.

    🤖 spec-create workflow

  12. MarkusNeusinger
    added
    generate:matplotlibTrigger matplotlib implementation
    generate:seabornTrigger seaborn implementation
    generate:plotlyTrigger plotly implementation
    on Mar 11, 2026

  13. 146 remaining items

  14. github-actions commented on Aug 24, 2026

    @github-actions
    github-actionsBot
    on Aug 24, 2026 – with GitHub Actions
    Contributor

    🎨 javascript/muix Preview

    Light Dark
    muix light muix dark

    PR: #10539
    Interactive: light · dark

    🤖 impl-generate

  15. MarkusNeusinger
    added a commit that references this issue on Aug 24, 2026

    feat(highcharts): implement probability-weibull (#10538)

    cdee858
  16. github-actions
    removed
    impl:highcharts:pendinghighcharts generation in progress
    on Aug 24, 2026

  17. github-actions commented on Aug 24, 2026

    @github-actions
    github-actionsBot
    on Aug 24, 2026 – with GitHub Actions
    Contributor

    ✅ highcharts Complete

    highcharts implementation for probability-weibull has been merged to main.

    PR: #10538
    Quality Score: 90/100

    Preview: light · dark

    🤖 impl-merge

  18. MarkusNeusinger
    added a commit that references this issue on Aug 24, 2026

    feat(muix): implement probability-weibull (#10539)

    6434fa6
  19. github-actions
    added
    impl:muix:donemuix implementation merged
    on Aug 24, 2026

  20. github-actions commented on Aug 24, 2026

    @github-actions
    github-actionsBot
    on Aug 24, 2026 – with GitHub Actions
    Contributor

    ✅ muix Complete

    muix implementation for probability-weibull has been merged to main.

    PR: #10539
    Quality Score: 92/100

    Preview: light · dark

    🤖 impl-merge

  21. github-actions commented on Aug 24, 2026

    @github-actions
    github-actionsBot
    on Aug 24, 2026 – with GitHub Actions
    Contributor

    🎉 All Implementations Complete!

    All 15 library implementations for probability-weibull have been successfully merged.

    Library Status
    altair ✅
    bokeh ✅
    chartjs ✅
    d3 ✅
    echarts ✅
    ggplot2 ✅
    highcharts ✅
    letsplot ✅
    makie ✅
    matplotlib ✅
    muix ✅
    plotly ✅
    plotnine ✅
    pygal ✅
    seaborn ✅

    🤖 impl-merge

  22. github-actions
    closed this as completedon Aug 24, 2026
  23. github-actions
    reopened this on Oct 24, 2026

  24. github-actions commented on Oct 24, 2026

    @github-actions
    github-actionsBot
    on Oct 24, 2026 – with GitHub Actions
    Contributor

    🎨 javascript/muix Preview

    Light Dark
    muix light muix dark

    PR: #12403
    Generation: adopted from 5b2bcb3e5e4dc5b3685a669c07cf3ab1b9918f69 by gemini-4-argon
    Repair model: opus (forced regeneration)
    Interactive: light · dark

    🤖 impl-generate

  25. MarkusNeusinger
    added a commit that references this issue on Oct 24, 2026

    feat(muix): implement probability-weibull (#12403)

    ada3aaa

  26. github-actions commented on Oct 24, 2026

    @github-actions
    github-actionsBot
    on Oct 24, 2026 – with GitHub Actions
    Contributor

    ✅ muix Complete

    muix implementation for probability-weibull has been merged to main.

    PR: #12403
    Quality Score: 87/100
    Regen: previous 92 → 87 (stored scores)

    Preview: light · dark

    🤖 impl-merge

  27. github-actions commented on Oct 24, 2026

    @github-actions
    github-actionsBot
    on Oct 24, 2026 – with GitHub Actions
    Contributor

    🎉 All Implementations Complete!

    All 15 library implementations for probability-weibull have been successfully merged.

    Library Status
    altair ✅
    bokeh ✅
    chartjs ✅
    d3 ✅
    echarts ✅
    ggplot2 ✅
    highcharts ✅
    letsplot ✅
    makie ✅
    matplotlib ✅
    muix ✅
    plotly ✅
    plotnine ✅
    pygal ✅
    seaborn ✅

    🤖 impl-merge

  28. github-actions
    closed this as completedon Oct 24, 2026
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    approvedApproved for implementationimpl:altair:doneAltair implementation mergedimpl:bokeh:donebokeh implementation mergedimpl:chartjs:donechartjs implementation mergedimpl:d3:doned3 implementation mergedimpl:echarts:doneecharts implementation mergedimpl:ggplot2:doneggplot2 implementation mergedimpl:highcharts:donehighcharts implementation mergedimpl:letsplot:doneletsplot implementation mergedimpl:makie:donemakie implementation mergedimpl:matplotlib:doneMatplotlib implementation mergedimpl:muix:donemuix implementation mergedimpl:plotly:doneplotly implementation mergedimpl:plotnine:doneplotnine implementation mergedimpl:pygal:donepygal implementation mergedimpl:seaborn:doneseaborn implementation mergedspec-readySpecification merged to main

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