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  2. Kaplan–Meier estimator - Wikipedia

    en.wikipedia.org/wiki/KaplanMeier_estimator

    An example of a KaplanMeier plot for two conditions associated with patient survival. The KaplanMeier 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 ...

  3. Survival analysis - Wikipedia

    en.wikipedia.org/wiki/Survival_analysis

    The KaplanMeier estimator can be used to estimate the survival function. The Nelson–Aalen estimator can be used to provide a non-parametric estimate of the cumulative hazard rate function. These estimators require lifetime data.

  4. Survival function - Wikipedia

    en.wikipedia.org/wiki/Survival_function

    For example, in survival function 4, more than 50% of the subjects survive longer than the observation period of 10 months. Median survival greater than 10 months. The survival function is one of several ways to describe and display survival data. Another useful way to display data is a graph showing the distribution of survival times of subjects.

  5. Dvoretzky–Kiefer–Wolfowitz inequality - Wikipedia

    en.wikipedia.org/wiki/Dvoretzky–Kiefer...

    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] [ 5 ] 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 ...

  6. Relative survival - Wikipedia

    en.wikipedia.org/wiki/Relative_survival

    The problem with measuring overall survival by using the Kaplan-Meier or actuarial survival methods is that the estimates include two causes of death: deaths from the disease of interest and deaths from all other causes, which includes old age, other cancers, trauma and any other possible cause of death. In general, survival analysis is ...

  7. List of analyses of categorical data - Wikipedia

    en.wikipedia.org/wiki/List_of_analyses_of...

    This is a list of statistical procedures which can be used for the analysis of categorical data, also known as data on the nominal scale and as categorical variables.

  8. Paul Meier (statistician) - Wikipedia

    en.wikipedia.org/wiki/Paul_Meier_(statistician)

    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 KaplanMeier 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.

  9. Confidence and prediction bands - Wikipedia

    en.wikipedia.org/wiki/Confidence_and_prediction...

    96% confidence bands around a local polynomial fit to botanical data. A confidence band is used in statistical analysis to represent the uncertainty in an estimate of a curve or function based on limited or noisy data. Similarly, a prediction band is used to represent the uncertainty about the value of a new data-point on the curve, but subject ...