statsmodels.duration.survfunc.SurvfuncRight

class statsmodels.duration.survfunc.SurvfuncRight(time, status, entry=None, title=None, freq_weights=None, exog=None, bw_factor=1.0)

Estimation and inference for a survival function.

The survival function S(t) = P(T > t) is the probability that an event time T is greater than t.

This class currently only supports right censoring.

Parameters:

timearray_like

An array of times (censoring times or event times)

statusarray_like

Status at the event time, status==1 is the ‘event’ (e.g. death, failure), meaning that the event occurs at the given value in time; status==0 indicates that censoring has occurred, meaning that the event occurs after the given value in time.

entryarray_like, optional An array of entry times for handling

left truncation (the subject is not in the risk set on or before the entry time)

titlestr

Optional title used for plots and summary output.

freq_weightsarray_like

Optional frequency weights

exogarray_like

Optional, if present used to account for violation of independent censoring.

bw_factorfloat

Band-width multiplier for kernel-based estimation. Only used if exog is provided.

Notes

If exog is None, the standard Kaplan-Meier estimator is used. If exog is not None, a local estimate of the marginal survival function around each point is constructed, and these are then averaged. This procedure gives an estimate of the marginal survival function that accounts for dependent censoring as long as the censoring becomes independent when conditioning on the covariates in exog. See Zeng et al. (2004) for details.

References

D. Zeng (2004). Estimating marginal survival function by adjusting for dependent censoring using many covariates. Annals of Statistics 32:4. https://arxiv.org/pdf/math/0409180.pdf

Attributes:

surv_probarray_like

The estimated value of the survivor function at each time point in surv_times.

surv_prob_searray_like

The standard errors for the values in surv_prob. Not available if exog is provided.

surv_timesarray_like

The points where the survival function changes.

n_riskarray_like

The number of subjects at risk just before each time value in surv_times. Not available if exog is provided.

n_eventsarray_like

The number of events (e.g. deaths) that occur at each point in surv_times. Not available if exog is provided.

Methods

plot([ax])	Plot the survival function.
quantile(p)	Estimated quantile of a survival distribution.
quantile_ci(p[, alpha, method])	Returns a confidence interval for a survival quantile.
simultaneous_cb([alpha, method, transform])	Returns a simultaneous confidence band for the survival function.
summary()	Return a summary of the estimated survival function.