Use this calculation to reproduce a defined quantitative method when the observations, units, sampling process, and assumptions match the method shown here.

Times

Required list. Non-negative follow-up durations.

Event indicators

Required list. One means an event was observed, zero means right-censored; aligned with the times.

The cited overview of Statistics supplies background for the terminology and domain context used by this tool.^[1]

Estimate survival over time with the product-limit estimator from right-censored durations. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

Final survival

Returned number. Survival probability after the last event time; one when nothing was observed to fail.

Step count

Returned integer. Number of distinct event times.

Survival table

Returned list. One row per distinct event time: time, survival probability, subjects at risk, deaths.

• A numerical result does not by itself establish data quality, causation, representativeness, independence, distributional fit, or practical significance.
• Use finite inputs in the displayed units, preserve source measurements and assumptions, and independently verify consequential decisions.

Inspect the underlying data, visualize its distribution, report uncertainty and sample size, and compare the result with a robust or domain-specific method where appropriate.

• Partial Autocorrelation Calculator

  Compute partial autocorrelations with the Durbin-Levinson recursion over the sample autocorrelation sequence (the classical Yule-Walker-style estimator).

• Bootstrap Confidence Interval Calculator

  Estimate a percentile bootstrap confidence interval for a sample mean or median with deterministic resampling.

• Bootstrap Standard Error Calculator

  Estimate the standard error of a sample mean or median with deterministic bootstrap resampling.