def _compute_baseline_survival(self):
        """
        Importantly, this agrees with what the KaplanMeierFitter produces. Ex:

        Example
        -------
        >>> from lifelines.datasets import load_rossi
        >>> from lifelines import CoxPHFitter, KaplanMeierFitter
        >>> rossi = load_rossi()
        >>> kmf = KaplanMeierFitter()
        >>> kmf.fit(rossi['week'], rossi['arrest'])
        >>> rossi2 = rossi[['week', 'arrest']].copy()
        >>> rossi2['var1'] = np.random.randn(432)
        >>> cph = CoxPHFitter()
        >>> cph.fit(rossi2, 'week', 'arrest')
        >>> ax = cph.baseline_survival_.plot()
        >>> kmf.plot(ax=ax)
        """
        survival_df = np.exp(-self.baseline_cumulative_hazard_)
        if self.strata is None:
            survival_df.columns = ["baseline survival"]
        return survival_df