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The fitted hazard at given times: lifelines' hazard_at_times.

public double[] Hazard(ReadOnlySpan<double> times)

Parameters — times are the positive times to read at.

Returns — one instantaneous hazard per time, the derivative of the cumulative hazard.

Example — a Weibull shape above one: the hazard rises with time.

using Lodestar.Survival;

double[] months = [5, 8, 12, 3, 15, 9, 20, 6, 11, 14];
bool[] died = [true, true, false, true, true, true, false, true, true, false];

ParametricFit fit = ParametricSurvival.Fit(ParametricModel.Weibull, months, died);

double[] hazard = fit.Hazard([5.0, 10.0]);
double atFive = Math.Round(hazard[0], 6);   // => 0.06135
double atTen = Math.Round(hazard[1], 6);    // => 0.099833

Remarks — this is what a non-parametric estimate cannot give without smoothing: NelsonAalen reports the accumulated hazard as steps, whose derivative is zero between events and undefined at them.

Applies to — net10.0, netstandard2.0.

See also — ParametricFit, ParametricFit.CumulativeHazard.