Samiksha Jaiswal (Editor)

Nelson–Aalen estimator

Updated on
Share on FacebookTweet on TwitterShare on LinkedInShare on Reddit
Covid-19

The Nelson–Aalen estimator is a non-parametric estimator of the cumulative hazard rate function in case of censored data or incomplete data. It is used in survival theory, reliability engineering and life insurance to estimate the cumulative number of expected events. An "event" can be the failure of a non-repairable component, the death of a human being, or any occurrence for which the experimental unit remains in the "failed" state (e.g., death) from the point at which it changed on. The estimator is given by

H ~ ( t ) = t i t d i n i ,

with d i the number of events at t i and n i the total individuals at risk at t i .

The curvature of the Nelson–Aalen estimator gives an idea of the hazard rate shape. A concave shape is an indicator for infant mortality while a convex shape indicates wear out mortality.

It can be used for example when testing the homogeneity of Poisson processes.

References

Nelson–Aalen estimator Wikipedia


Similar Topics
The Border Town
Aziza Ali
Armen Martirosyan (musician)
Topics
 
B
i
Link
H2
L