• Thumbnail for Kaplan–Meier estimator
    The KaplanMeier estimator, also known as the product limit estimator, is a non-parametric statistic used to estimate the survival function from lifetime...
    27 KB (4,444 words) - 23:08, 19 June 2025
  • Thumbnail for Dvoretzky–Kiefer–Wolfowitz inequality
    The Dvoretzky–Kiefer–Wolfowitz inequality is obtained for the KaplanMeier estimator which is a right-censored data analog of the empirical distribution...
    8 KB (1,044 words) - 22:48, 8 February 2025
  • Nelson-Aalen estimator is directly related to the Kaplan-Meier estimator and both maximize the empirical likelihood. "KaplanMeier and Nelson–Aalen Estimators"....
    4 KB (417 words) - 18:41, 25 May 2025
  • In statistics, the bias of an estimator (or bias function) is the difference between this estimator's expected value and the true value of the parameter...
    34 KB (5,367 words) - 15:44, 15 April 2025
  • Lynn Kaplan (May 11, 1920 – September 26, 2006) was a mathematician most famous for the KaplanMeier estimator, developed together with Paul Meier. Edward...
    5 KB (506 words) - 07:49, 31 March 2025
  • Thumbnail for Median
    Hodges–Lehmann estimator is a robust and highly efficient estimator of the population median; for non-symmetric distributions, the Hodges–Lehmann estimator is a...
    63 KB (7,987 words) - 23:47, 14 June 2025
  • method to model the survival function is the non-parametric KaplanMeier estimator. This estimator requires lifetime data. Periodic case (cohort) and death...
    16 KB (2,086 words) - 03:20, 11 April 2025
  • next observation time. The KaplanMeier estimator can be used to estimate the survival function. The Nelson–Aalen estimator can be used to provide a non-parametric...
    50 KB (6,976 words) - 09:21, 9 June 2025
  • minimum-variance unbiased estimator (MVUE) or uniformly minimum-variance unbiased estimator (UMVUE) is an unbiased estimator that has lower variance than...
    7 KB (1,109 words) - 21:36, 14 April 2025
  • Thumbnail for Standard deviation
    standard deviation. Such a statistic is called an estimator, and the estimator (or the value of the estimator, namely the estimate) is called a sample standard...
    59 KB (8,235 words) - 23:08, 17 June 2025
  • Thumbnail for Empirical distribution function
    quantiles from a sample Frequency (statistics) Empirical likelihood KaplanMeier estimator for censored processes Survival function Q–Q plot A modern introduction...
    13 KB (1,514 words) - 14:05, 27 February 2025
  • that characterizes the transformation of an arbitrarily crude estimator into an estimator that is optimal by the mean-squared-error criterion or any of...
    13 KB (2,174 words) - 20:32, 19 June 2025
  • censoring is more likely in one group than another. Mathematics portal KaplanMeier estimator Hazard ratio Mantel, Nathan (1966). "Evaluation of survival data...
    9 KB (1,532 words) - 13:29, 19 March 2025
  • can be solved analytically; for instance, the ordinary least squares estimator for a linear regression model maximizes the likelihood when the random...
    68 KB (9,706 words) - 19:59, 16 June 2025
  • X_{2})} is sufficient but not complete. It admits a non-zero unbiased estimator of zero, namely X 1 − X 2 {\textstyle X_{1}-X_{2}} . Most parametric models...
    10 KB (1,548 words) - 16:15, 10 January 2025
  • Thumbnail for Variance
    unbiased estimator (dividing by a number larger than n − 1) and is a simple example of a shrinkage estimator: one "shrinks" the unbiased estimator towards...
    61 KB (10,215 words) - 16:29, 24 May 2025
  • Thumbnail for Standard error
    The standard error (SE) of a statistic (usually an estimator of a parameter, like the average or mean) is the standard deviation of its sampling distribution...
    20 KB (2,781 words) - 01:28, 24 June 2025
  • In statistics, M-estimators are a broad class of extremum estimators for which the objective function is a sample average. Both non-linear least squares...
    22 KB (2,854 words) - 17:15, 5 November 2024
  • their parameters and because the statistical properties of the resulting estimators are easier to determine. Linear regression has many practical uses. Most...
    75 KB (10,482 words) - 17:25, 13 May 2025
  • top-level domain (ccTLD) for Comoros Km, an electric motor constant KaplanMeier estimator, a non-parametric statistic used to estimate the survival function...
    2 KB (307 words) - 03:16, 18 June 2025
  • K-means++ K-medians clustering K-medoids K-statistic Kalman filter KaplanMeier estimator Kappa coefficient Kappa statistic Karhunen–Loève theorem Kendall...
    87 KB (8,280 words) - 23:04, 12 March 2025
  • In statistics, the Hodges–Lehmann estimator is a robust and nonparametric estimator of a population's location parameter. For populations that are symmetric...
    9 KB (1,077 words) - 13:24, 2 June 2025
  • medicine. Meier is known for introducing, with Edward L. Kaplan, the KaplanMeier estimator, a method for measuring how many patients survive a medical...
    11 KB (966 words) - 14:15, 30 July 2024
  • JSTOR 2281868 Description: First description of the now ubiquitous Kaplan-Meier estimator of survival functions from data with censored observations Importance:...
    27 KB (2,817 words) - 11:33, 13 June 2025
  • of quality of an estimator, of an experimental design, or of a hypothesis testing procedure. Essentially, a more efficient estimator needs fewer input...
    22 KB (3,066 words) - 01:10, 20 March 2025
  • Thumbnail for Multivariate normal distribution
    deviation ellipse is lower. The derivation of the maximum-likelihood estimator of the covariance matrix of a multivariate normal distribution is straightforward...
    65 KB (9,594 words) - 15:19, 3 May 2025
  • uncorrelated). Let α ^ , β ^ = least-squares estimators , S E α ^ , S E β ^ = the standard errors of least-squares estimators . {\displaystyle {\begin{aligned}{\hat...
    52 KB (7,010 words) - 16:42, 18 June 2025
  • small number of outliers are irrelevant. Because the MAD is a more robust estimator of scale than the sample variance or standard deviation, it works better...
    8 KB (1,096 words) - 07:57, 22 March 2025
  • maximum likelihood estimator. s n ( θ ) = 0 {\displaystyle s_{n}(\theta )=\mathbf {0} } In that sense, the maximum likelihood estimator is implicitly defined...
    64 KB (8,546 words) - 13:13, 3 March 2025
  • Thumbnail for Receiver operating characteristic
    calculated from just a sample of the population, it can be thought of as estimators of these quantities). The ROC curve is thus the sensitivity as a function...
    62 KB (7,926 words) - 19:05, 22 June 2025