64
Views
65
CrossRef citations to date
0
Altmetric
Theory and Method

Small-Sample Results for the Kaplan-Meier Estimator

, &
Pages 141-144 | Received 01 Jul 1980, Published online: 12 Mar 2012

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (26)

Robert L. Paige & Emad Abdurasul. (2018) Small sample confidence intervals for survival functions under the proportional hazards model. Communications in Statistics - Theory and Methods 47:24, pages 6108-6124.
Read now
Abhik Ghosh & Ayanendranath Basu. (2017) Robust and efficient parameter estimation based on censored data with stochastic covariates. Statistics 51:4, pages 801-823.
Read now
Jiantian Wang. (2016) Improved versions of greenwood estimators under koziol-green model. Communications in Statistics - Theory and Methods 45:1, pages 142-157.
Read now
Akim Adekpedjou & Edsel A. Peña. (2012) Semiparametric estimation with recurrent event data under informative monitoring. Journal of Nonparametric Statistics 24:3, pages 733-752.
Read now
Seung-Hwan Lee. (2011) Maximum of the weighted Kaplan–Meier tests for the two-sample censored data. Journal of Statistical Computation and Simulation 81:8, pages 1017-1026.
Read now
Agnieszka Rossa. (2009) The Nelson–Aalen and Kaplan–Meier Estimators Under a Sequential Sampling Scheme. Communications in Statistics - Theory and Methods 38:16-17, pages 3077-3098.
Read now
Seung-Hwan Lee. (2008) Statistical Inferences Based on Extended Weighted Log-Rank Estimating Function for Censored Regression Model. Communications in Statistics - Simulation and Computation 37:6, pages 1143-1155.
Read now
Agnieszka Rossa. (2008) Estimation of Survival Distributions Under Right-Censoring When Sample Size is Random. Sequential Analysis 27:2, pages 174-184.
Read now
Seung-Hwan Lee & Eun-Joo Lee. (2006) On the extended lack-of-fit tests for the censored regression model. Journal of Statistical Computation and Simulation 76:9, pages 793-801.
Read now
Y.-T. Hwang. (2005) Moments of the Product-Limit Estimator Under Left-Truncation and Right-Censoring. Communications in Statistics - Theory and Methods 34:8, pages 1833-1850.
Read now
Jiantian Wang & Yingfu Li. (2005) Dependency measures under bivariate homogeneous shock models. Statistics 39:1, pages 73-80.
Read now
Jacobo de Uña-Álvarez & Ángeles Saavedra. (2004) Bias and Variance of the Nonparametric MLE Under Length-Biased Censored Sampling: A Simulation Study. Communications in Statistics - Simulation and Computation 33:2, pages 397-413.
Read now
Agnieszka Rossa. (2002) ON THE ESTIMATION OF SURVIVAL FUNCTION UNDER RANDOM CENSORSHIP. Communications in Statistics - Theory and Methods 31:6, pages 961-975.
Read now
Pawlitschko Jörg. (1999) A Comparison of Survival Function Estimators in the Koziol–Green Model. Statistics 32:3, pages 277-291.
Read now
Song Yang. (1997) Extended Weighted Log-Rank Estimating Functions in Censored Regression. Journal of the American Statistical Association 92:439, pages 977-984.
Read now
Inmaculada Baltazar-Aban & EdselA. Peña. (1995) Properties of Hazard-Based Residuals and Implications in Model Diagnostics. Journal of the American Statistical Association 90:429, pages 185-197.
Read now
Winfried Stute. (1994) Improved estimation under random censorship. Communications in Statistics - Theory and Methods 23:9, pages 2671-2682.
Read now
Dali Luo & Sam C. Saunders. (1993) Bias and mean-square error for the kaplan-meier and nelson-aalen estimators. Journal of Nonparametric Statistics 3:1, pages 37-51.
Read now
Mi Jie. (1990) Asymtotic results for the koziol-green model. Communications in Statistics - Theory and Methods 19:8, pages 2767-2779.
Read now
John P. Klein & Melvin L. Moeschberger. (1989) The Robustness of Several Estimators of the Survivorship Function with Randomly Censored Data. Communications in Statistics - Simulation and Computation 18:3, pages 1087-1112.
Read now
Edsel A. Pena & Vijay K. Rohatgi. (1988) Estimation of parameters under a random censorship model. Communications in Statistics - Theory and Methods 17:8, pages 2819-2829.
Read now
Sándor Csörgő. (1988) Estimation in the proportional hazards model of random censorship. Statistics 19:3, pages 437-463.
Read now
B.B. Winter. (1987) Nonparametric Estimation With Censored Data From A Distributtion With Nonincreasing Density. Communications in Statistics - Theory and Methods 16:1, pages 93-120.
Read now
Dong Hopark, V Susarla & J Van Ryzins. (1987) Small sample study on estimators of life distributions and of mean survival times using randomly censored data. Communications in Statistics - Simulation and Computation 16:1, pages 221-232.
Read now
W.J. Padgett & Diane T. McNichols. (1984) Nonparametric density estimation from censored data. Communications in Statistics - Theory and Methods 13:13, pages 1581-1611.
Read now

Articles from other publishers (39)

Ross Maller, Sidney Resnick, Soudabeh Shemehsavar & Muzhi Zhao. (2024) Mixture cure model methodology in survival analysis: Some recent results for the one-sample case. Statistics Surveys 18:none.
Crossref
Yifei Sun, Sy Han Chiou & Mei‐Cheng Wang. (2020) ROC‐guided survival trees and ensembles. Biometrics 76:4, pages 1177-1189.
Crossref
Daniel E Vanden Berk, Sarah C Wesolowski, Mary J Yeckley, Joseph M Marcinik, Jean M Quashnock, Lawrence M Machia & Jian Wu. (2020) Extreme ultraviolet quasar colours from GALEX  observations of the SDSS DR14Q catalogue . Monthly Notices of the Royal Astronomical Society 493:2, pages 2745-2764.
Crossref
Fatemeh Omidi‎, Arezou Habibirad & Vahid Fakoor‎. (2020) Goodness of Fit Tests based on Information Criterion for Randomly Censored Data. Journal of Statistical Research of Iran 16:2, pages 507-533.
Crossref
Namhyun Kim. (2019) Tests based on EDF statistics for randomly censored normal distributions when parameters are unknown. Communications for Statistical Applications and Methods 26:5, pages 431-443.
Crossref
Namhyun Kim. (2018) On the maximum likelihood estimation for a normal distribution under random censoring. Communications for Statistical Applications and Methods 25:6, pages 647-658.
Crossref
Namhyun Kim. (2017) Goodness-of-fit tests for randomly censored Weibull distributions with estimated parameters. Communications for Statistical Applications and Methods 24:5, pages 519-531.
Crossref
Gerhard Dikta. 2017. From Statistics to Mathematical Finance. From Statistics to Mathematical Finance 43 56 .
Namhyun Kim. (2016) On the maximum likelihood estimators for parameters of a Weibull distribution under random censoring. Communications for Statistical Applications and Methods 23:3, pages 241-250.
Crossref
Gerhard Dikta, Martin Reißel & Carsten Harlaß. (2016) Semi-parametric survival function estimators deduced from an identifying Volterra type integral equation. Journal of Multivariate Analysis 147, pages 273-284.
Crossref
Myles Hollander, Douglas A. Wolfe & Eric Chicken. 2015. Nonparametric Statistical Methods. Nonparametric Statistical Methods 763 790 .
Grace L. Yang. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Namhyun Kim. (2014) The influence of the random censorship model on the estimation of the scale parameter of the exponential distribution. Journal of the Korean Data and Information Science Society 25:2, pages 393-402.
Crossref
Namhyun Kim. (2014) Approximate MLE for the scale parameter of the generalized exponential distribution under random censoring. Journal of the Korean Statistical Society 43:1, pages 119-131.
Crossref
Akim Adekpedjou, Russell Stocker & Withanage A. De Mel. (2013) A class of inference procedures for validating the generalized Koziol–Green model with recurrent events. Computational Statistics & Data Analysis 62, pages 83-92.
Crossref
Jiantian Wang. (2012) On the Relationship between Pearson Correlation Coefficient and Kendall’s Tau under Bivariate Homogeneous Shock Model. ISRN Probability and Statistics 2012, pages 1-7.
Crossref
Nam-Hyun Kim. (2012) Testing Exponentiality Based on EDF Statistics for Randomly Censored Data when the Scale Parameter is Unknown. Korean Journal of Applied Statistics 25:2, pages 311-319.
Crossref
Seung-Hwan Lee. (2010) Confidence intervals for the regression parameter based on weighted log-rank estimating functions. Computational Statistics 25:3, pages 429-440.
Crossref
Uttam Bandyopadhyay, Atanu Biswas & Rahul Bhattacharya. (2010) A covariate‐adjusted adaptive design for two‐stage clinical trials with survival data. Statistica Neerlandica 64:2, pages 202-226.
Crossref
Uttam Bandyopadhyay, Atanu Biswas & Rahul Bhattacharya. (2009) A Bayesian adaptive design for two-stage clinical trials with survival data. Lifetime Data Analysis 15:4, pages 468-492.
Crossref
Jiantian Wang. (2006) Small-sample studies on right censored data with discrete failure times. Annals of the Institute of Statistical Mathematics 60:2, pages 427-440.
Crossref
Jay S. Kim & Ronald J. Dailey. 2007. Biostatistics for Oral Healthcare. Biostatistics for Oral Healthcare 279 298 .
Grace L. Yang. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Thomas R. Fleming & David P. Harrington. 2005. Counting Processes and Survival Analysis. Counting Processes and Survival Analysis 401 412 .
Craig B. Borkowf. (2004) A simple hybrid variance estimator for the Kaplan–Meier survival function. Statistics in Medicine 24:6, pages 827-851.
Crossref
Grace L. Yang. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Yongdai Kim. (2003) On the Posterior Consistency of Mixtures of Dirichlet Process Priors with Censored Data. Scandinavian Journal of Statistics 30:3, pages 535-547.
Crossref
Winfried Stute. 2003. Advances in Survival Analysis. Advances in Survival Analysis 87 104 .
Brenda Gillespie & Justine Uro. 1993. Mathematical Computation with Maple V: Ideas and Applications. Mathematical Computation with Maple V: Ideas and Applications 128 136 .
J.S. Kim & F. Proschan. (1991) Piecewise exponential estimator of the survivor function. IEEE Transactions on Reliability 40:2, pages 134-139.
Crossref
W.J. Padgett. 1988. Quality Control and Reliability. Quality Control and Reliability 313 331 .
Gillian M. Mimmack & Frank Proschan. 1988. Quality Control and Reliability. Quality Control and Reliability 251 280 .
A. A. Abdushukurov & L. V. Kim. (1987) Lower Cramer-Rao and Bhattacharyya bounds for randomly censored observations. Journal of Soviet Mathematics 38:5, pages 2171-2185.
Crossref
Myles Hollander, Dong Ho Park & Frank Proschan. (2008) Testing whether new is better than used of a specified age, with randomly censored data. Canadian Journal of Statistics 13:1, pages 45-52.
Crossref
J.H.J. Geurts. (2008) SOME SMALL–SAMPLE NON–PROPORTIONAL HAZARDS RESULIS FOR THE KAPLAN–MEIER ESTIMATOR. Statistica Neerlandica 39:1, pages 1-13.
Crossref
Thomas Santner & Robert Tenga. (2006) Testing goodness of fit to the increasing failure rate family with censored data. Naval Research Logistics Quarterly 31:4, pages 631-646.
Crossref
Myles Hollander & Frank Proschan. 1984. Nonparametric Methods. Nonparametric Methods 613 655 .
Kjell A. Doksum & Brian S. Yandell. 1984. Nonparametric Methods. Nonparametric Methods 579 611 .
O. Kardaun. (2008) Statistical survival analysis of male larynx‐cancer patients ‐ a case study. Statistica Neerlandica 37:3, pages 103-125.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.