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The Kaplan–Meier estimator, [1] [2] also known as the product limit estimator, is a non-parametric statistic used to estimate the survival function from lifetime data. In medical research, it is often used to measure the fraction of patients living for a certain amount of time after treatment.
Paul Meier (July 24, 1924 – August 7, 2011) [1] was a statistician who promoted the use of randomized trials in medicine. [2] [3]Meier is known for introducing, with Edward L. Kaplan, the Kaplan–Meier estimator, [4] [5] a method for measuring how many patients survive a medical treatment from one duration to another, taking into account that the sampled population changes over time.
Edward Lynn Kaplan (May 11, 1920 – September 26, 2006) [1] was a mathematician most famous for the Kaplan–Meier estimator, [2] developed together with Paul Meier. Biography [ edit ]
It also estimates the tail probability of the Kolmogorov–Smirnov statistic. The inequalities above follow from the case where F corresponds to be the uniform distribution on [0,1] [ 6 ] as F n has the same distributions as G n ( F ) where G n is the empirical distribution of U 1 , U 2 , …, U n where these are independent and Uniform(0,1 ...
Kaplan–Meier estimator; Meijer G-function This page was last edited on 29 December 2019, at 10:22 (UTC). Text is available under the Creative Commons ...
The logrank test statistic compares estimates of the hazard functions of the two groups at each observed event time. It is constructed by computing the observed and expected number of events in one of the groups at each observed event time and then adding these to obtain an overall summary across all-time points where there is an event.
Pages in category "Estimator" The following 27 pages are in this category, out of 27 total. ... Kaplan–Meier estimator; L. L-estimator; M. M-estimator; Maximum ...
Isambard Kingdom has proposed deletion of the section "Example calculation of Kaplan-Meier estimate" because it is long (and possibly tedious). I beleive that an example calculation is necessary for a comprehensive description of the Kaplan-Meier estimate.