The Breslow estimate is commonly used in the Cox proportional hazards model. However this paper by Deborah Burr
Burr, D. (1994). On Inconsistency of Breslow's Estimator as an Estimator of the Hazard Rate in the Cox Model. Biometrics, 50(4), 1142-1145.
claims that the estimator is inconsistent (I do not have this paper so I have read the first page only).
Does the conclusion of the paper mean that we should really stop to use this estimate ?