Theory and Applications of Hazard Plotting for Censored Failure Data

By W. Nelson. Technometrics, 2000

651 citations recorded by the source corpus.

Subfields: Mechanics of Materials, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/7cbd0304295aa4f7a060ce908857df3452e7f0f2

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In Mechanics of Materials

In Statistics and Probability

Citations in the corpus

History of applications of martingales in survival analysis. (2010, neutral): “A non-parametric estimator of A(t) was first suggested by Wayne Nelson [71, 72] as a graphical tool to obtain engineering information on the form of the survival distribution in reliability studies; see also [73].”
Improving Post-Click User Engagement on Native Ads via Survival Analysis (2016, methodology): “Conversely, non-parametric models , such as the Kaplan-Meier [17] and Nelson-Aalen [26] estimators, do not make any assumption on the distribution of survival times and they are generally easier to estimate.”
Standardization and Control for Confounding in Observational Studies: A Historical Perspective (2015, methodology): “In modern survival analysis it is called the cumulative hazard and estimated nonparametrically by the Nelson–Aalen estimator (Nelson, 1972, Aalen, 1978, Andersen et al., 1993).”
Direct Modelling of Regression Effects for Transition Probabilities in Multistate Models (2007, methodology): “We let Â(t) denote the estimator of A(t) based on Nelson–Aalen estimates in the case of no covariates (see Nelson, 1969, 1972; Aalen, 1975, 1978).”
On consistency of kernel density estimators for randomly censored data: rates holding uniformly over adaptive intervals (2001, background): “and its Nelson–Aalen estimator (Nelson [ 13 ], and Aalen [1]) is”
Evaluating the Predictive Validity of the Compas Risk and Needs Assessment System (2009, neutral): “Figure 1 shows a plot of the Nelson–Aalen (Aalen, 1978; Nelson, 1972) estimator of the cumulative hazard function H ˆ ( t ) within levels of the Recidivism Risk Scale.”
Machine Learning for Survival Analysis: A Survey (2017, methodology): “Different from KM and LT method, Nelson-Aalen estimator [Nelson 1972; Aalen 1978] is a method to estimate the cumulative hazard function for censored data based on counting process approach.”
Correcting bias in survival estimation resulting from tag failure in acoustic and radiotelemetry studies (2006, methodology): “Other parametric models, as well as the nonparametric Kaplan and Meier (1958) and Nelson (1972) and Aalen (1978) models, may be used to characterize the tag-life distribution.”
Should We Stay or Should We Go? Accountability, Status Anxiety, and Client Defections (2006, neutral): “I estimated the nonparametric Kaplan-Meier survivor function and the Nelson-Aalen cumulative hazard rate to make sure that the assumption of a monotonously increasing hazard rate is appropriate (KaplanMeier, 1958; Nelson, 1972; Aalen, 1978).”