Time-to-Event Analysis

    Know when things will happen — and what's speeding them up or slowing them down.

    Averisys — an AI Data Analytics Platform — analyzes timing outcomes and tells you not just whether something will happen, but when and why.

    Trusted by leading organizations

    AppleU.S. Environmental Protection AgencyNational Institutes of HealthNational Institute of Standards and TechnologyHarvard UniversityNational Science Foundation

    Timing is everything

    How long until a customer cancels? When will equipment need replacing? How quickly do patients recover after a new treatment? These are timing questions — and they require a different kind of analysis.

    Averisys analyzes "time-to-event" outcomes and tells you not just whether something will happen, but when it's most likely to happen and which factors are accelerating or delaying it.

    What you can do

    • Predict how long until customers churn, contracts lapse, or equipment fails
    • Compare groups to see which ones reach the event faster (or slower)
    • Identify the factors that have the biggest impact on timing
    • Spot high-risk segments early — before the event happens
    • Test interventions: will a new program actually delay churn, failure, or relapse?

    See the timeline. Understand the risk.

    Random Survival Forest individual survival curves for five subjects

    01 / Random Survival Forest.

    Averisys fits a Random Survival Forest to your data and produces individual survival curves for every subject — showing how the predicted probability of remaining event-free changes over time.

    • Personalized survival curves for each subject or record
    • Clear separation between high-risk and low-risk cases
    • Step-function timelines that match the structure of real event data
    • Visual output ready for reports, dashboards, or stakeholder presentations
    Overall predictive performance with integrated Brier score

    02 / Overall predictive performance.

    The model's overall accuracy is summarized with the integrated Brier score — a single number that measures how close the predicted survival probabilities stay to the actual outcomes across the whole forecast horizon.

    • Integrated Brier score reported with mean and 95% confidence interval
    • Lower scores mean sharper, more reliable survival forecasts
    • Confidence interval shows stability across cross-validation folds
    • Plain-English interpretation of how well the model is expected to perform
    Discrimination metrics including Harrell's C-index and time-dependent AUROC

    03 / Discrimination.

    Discrimination tells you whether the model can reliably separate subjects who will experience the event soon from those who will not. Averisys reports Harrell's C-index and time-dependent AUROC with confidence intervals.

    • Harrell's C-index for rank-order accuracy across the full timeline
    • Time-dependent AUROC averaged over forecast horizons
    • 95% confidence intervals for both metrics
    • Clear guidance on whether the model's ranking is strong enough for decisions
    Calibration and horizon-specific prediction error table

    04 / Calibration and horizon-specific prediction error.

    A model can rank well but still be overconfident. Averisys checks calibration at each forecast horizon — comparing predicted survival against observed survival — and reports prediction error so you know when to trust the numbers.

    • Horizon-by-horizon AUROC and Brier score tables
    • Calibration intercept and slope to detect over- or under-confidence
    • Prediction error broken out by forecast horizon
    • Interpretation of whether forecasts are well-calibrated across time
    Permutation feature importance for survival model interpretability

    05 / Interpretability — permutation feature importance.

    Averisys ranks the factors that most affect survival time using permutation feature importance. Each feature is shuffled and the drop in model performance is measured — larger drops mean bigger influence.

    • Feature importance ranked by mean C-index drop
    • Cross-fold stability reported as a standard deviation
    • Confidence in which factors truly matter, not just which appear first
    • Plain-English takeaways tied to business actions
    Minimal depth feature importance from the Random Survival Forest

    06 / Minimal depth.

    Minimal depth is a second, model-native way to see what matters. Features that split the forest earlier and are used in more trees are the ones the model relies on most for survival predictions.

    • Average minimal depth for each feature across all trees
    • Count of how many trees actually use each feature
    • Shallower depth + higher usage = stronger predictive role
    • Cross-checks against permutation importance for robust conclusions
    Partial dependence table for product satisfactionPartial dependence graph showing product satisfaction versus mean predicted survival

    07 / Partial dependence.

    Partial dependence shows how changing one factor affects predicted survival, holding everything else constant. The table and chart together make the relationship easy to read and act on.

    • Mean predicted survival at each level of the selected factor
    • Smooth curve showing the direction and shape of the relationship
    • Quantified impact so you can compare interventions
    • Example: higher product satisfaction is tied to higher predicted survival
    Scalability and resource efficiency metrics

    08 / Scalability and resource efficiency.

    Averisys trains and evaluates the Random Survival Forest efficiently, with transparent resource metrics so you know how much time and memory the analysis needs.

    • Training time, CPU time, and peak memory reported in seconds and MB
    • Fast enough to iterate and compare model configurations
    • Resource footprint stays low even with many records and features
    • Clear reporting supports governance and infrastructure planning

    Averisys Analytics guarantees its security.

    ISO Certified
    HITRUST CSF Certified
    FedRAMP
    AICPA SOC

    Ready to predict the timing that matters most?

    Watch a demo and discover how Averisys — an AI Data Analytics Platform — predicts when events will happen, identifies what's driving the timing, and tells you exactly what to do about it.