• 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • Thumbnail for Statistics
    of the estimator that leads to refuting the null hypothesis. The probability of type I error is therefore the probability that the estimator belongs...
    78 KB (8,835 words) - 00:51, 23 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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 Homoscedasticity and heteroscedasticity
    modelling errors all have the same variance. While the ordinary least squares estimator is still unbiased in the presence of heteroscedasticity, it is inefficient...
    27 KB (3,197 words) - 00:51, 2 May 2025