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Kaplan–Meier estimator

Index Kaplan–Meier estimator

The Kaplan–Meier estimator, also known as the product limit estimator, is a non-parametric statistic used to estimate the survival function from lifetime data. [1]

33 relations: Bernoulli distribution, Binomial distribution, Censoring (statistics), Delta method, Dependent and independent variables, Econometrica, Edward L. Kaplan, Empirical distribution function, Estimator, ETH Zurich, Failure rate, Frequency of exceedance, Frugivore, John Tukey, Journal of the American Statistical Association, Logrank test, Martingale central limit theorem, MATLAB, Maximum likelihood estimation, Median lethal dose, Medical statistics, Nelson–Aalen estimator, Nonparametric statistics, Paul Meier (statistician), Proportional hazards model, Python (programming language), R (programming language), SAS (software), Stata, Statistic, Survival function, Variance, Wolfram Mathematica.

Bernoulli distribution

In probability theory and statistics, the Bernoulli distribution, named after Swiss mathematician Jacob Bernoulli, is the discrete probability distribution of a random variable which takes the value 1 with probability p and the value 0 with probability q.

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Binomial distribution

In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a sequence of n independent experiments, each asking a yes–no question, and each with its own boolean-valued outcome: a random variable containing a single bit of information: success/yes/true/one (with probability p) or failure/no/false/zero (with probability q.

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Censoring (statistics)

In statistics, engineering, economics, and medical research, censoring is a condition in which the value of a measurement or observation is only partially known.

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Delta method

In statistics, the delta method is a result concerning the approximate probability distribution for a function of an asymptotically normal statistical estimator from knowledge of the limiting variance of that estimator.

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Dependent and independent variables

In mathematical modeling, statistical modeling and experimental sciences, the values of dependent variables depend on the values of independent variables.

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Econometrica

Econometrica is a peer-reviewed academic journal of economics, publishing articles in many areas of economics, especially econometrics.

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Edward L. Kaplan

Edward Lynn Kaplan (May 11, 1920 – September 26, 2006) was a mathematician most famous for the Kaplan–Meier estimator, developed together with Paul Meier.

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Empirical distribution function

In statistics, an empirical distribution function is the distribution function associated with the empirical measure of a sample.

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Estimator

In statistics, an estimator is a rule for calculating an estimate of a given quantity based on observed data: thus the rule (the estimator), the quantity of interest (the estimand) and its result (the estimate) are distinguished.

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ETH Zurich

ETH Zurich (Swiss Federal Institute of Technology in Zurich; Eidgenössische Technische Hochschule Zürich) is a science, technology, engineering and mathematics STEM university in the city of Zürich, Switzerland.

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Failure rate

Failure rate is the frequency with which an engineered system or component fails, expressed in failures per unit of time.

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Frequency of exceedance

The frequency of exceedance, sometimes called the annual rate of exceedance, is the number of times in a certain period that a random process exceeds some critical value.

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Frugivore

A frugivore is a fruit eater.

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John Tukey

John Wilder Tukey (June 16, 1915 – July 26, 2000) was an American mathematician best known for development of the FFT algorithm and box plot.

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Journal of the American Statistical Association

The Journal of the American Statistical Association (JASA) is the primary journal published by the American Statistical Association, the main professional body for statisticians in the United States.

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Logrank test

In statistics, the logrank test is a hypothesis test to compare the survival distributions of two samples.

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Martingale central limit theorem

In probability theory, the central limit theorem says that, under certain conditions, the sum of many independent identically-distributed random variables, when scaled appropriately, converges in distribution to a standard normal distribution.

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MATLAB

MATLAB (matrix laboratory) is a multi-paradigm numerical computing environment and proprietary programming language developed by MathWorks.

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Maximum likelihood estimation

In statistics, maximum likelihood estimation (MLE) is a method of estimating the parameters of a statistical model, given observations.

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Median lethal dose

In toxicology, the median lethal dose, LD50 (abbreviation for "lethal dose, 50%"), LC50 (lethal concentration, 50%) or LCt50 is a measure of the lethal dose of a toxin, radiation, or pathogen.

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Medical statistics

Medical statistics deals with applications of statistics to medicine and the health sciences, including epidemiology, public health, forensic medicine, and clinical research.

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Nelson–Aalen estimator

The Nelson–Aalen estimator is a non-parametric estimator of the cumulative hazard rate function in case of censored data or incomplete data.

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Nonparametric statistics

Nonparametric statistics is the branch of statistics that is not based solely on parameterized families of probability distributions (common examples of parameters are the mean and variance).

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Paul Meier (statistician)

Paul Meier (July 24, 1924 – August 7, 2011) was a statistician who promoted the use of randomized trials in medicine.

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Proportional hazards model

Proportional hazards models are a class of survival models in statistics.

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Python (programming language)

Python is an interpreted high-level programming language for general-purpose programming.

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R (programming language)

R is a programming language and free software environment for statistical computing and graphics that is supported by the R Foundation for Statistical Computing.

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SAS (software)

SAS (previously "Statistical Analysis System") is a software suite developed by SAS Institute for advanced analytics, multivariate analyses, business intelligence, data management, and predictive analytics.

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Stata

Stata is a general-purpose statistical software package created in 1985 by StataCorp.

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Statistic

A statistic (singular) or sample statistic is a single measure of some attribute of a sample (e.g. its arithmetic mean value).

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Survival function

The survival function is a function that gives the probability that a patient, device, or other object of interest will survive beyond any given specified time.

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Variance

In probability theory and statistics, variance is the expectation of the squared deviation of a random variable from its mean.

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Wolfram Mathematica

Wolfram Mathematica (usually termed Mathematica) is a modern technical computing system spanning most areas of technical computing — including neural networks, machine learning, image processing, geometry, data science, visualizations, and others.

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References

[1] https://en.wikipedia.org/wiki/Kaplan–Meier_estimator

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