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Communications in Statistics - Theory and Methods Volume 18, 1989 - Issue 12
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Original Articles

Berry-esseen bound for the kaplan-meier estimator

Myron N. Chang Department of Statistics, University of Florida, Gainesville, Florida, 32611
&
P.V. Rao Department of Statistics, University of Florida, Gainesville, Florida, 32611
Pages 4647-4664 | Received 01 Jul 1989, Published online: 27 Jun 2007

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R. Zamini, M. Ajami & V. Fakoor. (2022) Berry-Esseen bound for smooth estimator of distribution function under length-biased data. Communications in Statistics - Theory and Methods 0:0, pages 1-10.
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Hui Jiang, Shimin Li & Shaochen Wang. (2017) Deviation inequalities, moderate deviation principles for certain Gaussian functionals, and their applications in parameter estimation. Stochastic Analysis and Applications 35:4, pages 615-632.
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Hui Jiang & Chen Xie. (2016) Asymptotic behaviours for the trajectory fitting estimator in Ornstein–Uhlenbeck process with linear drift. Stochastics 88:3, pages 336-352.
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Wenzhi Yang, Xuejun Wang & Shuhe Hu. (2014) A Note on the Berry-Esséen Bound of Sample Quantiles for ϕ-mixing Sequence. Communications in Statistics - Theory and Methods 43:19, pages 4187-4194.
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Qihua Wang & Bing-Yi Jing. (2006) Edgeworth Expansion and Bootstrap Approximation for Studentized Product-Limit Estimator with Truncated and Censored Data. Communications in Statistics - Theory and Methods 35:4, pages 609-623.
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Der-Chen Chang & Yi-Ting Hwang. (2001) A Berry-Esséen Bound for the Product-Limit Estimator under Left-Truncation and Right-Censoring. Applicable Analysis 78:1-2, pages 193-206.
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Qihua Wang. (2000) Some inequalities for the kernel density estimator under random censorship . Journal of Nonparametric Statistics 12:5, pages 737-751.
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Noël Veraverbeke. (1996) Cramer type large deviations for survival function estimators. Journal of Nonparametric Statistics 7:2, pages 105-121.
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W. Gonzalez-Manteiga & C. Cadarso-Suarez. (1994) Asymptotic properties of a generalized kaplan-meier estimator with some applications. Journal of Nonparametric Statistics 4:1, pages 65-78.
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Myron N. Chang. (1991) Edgeworth expansion for the kaplan-meier estimato. Communications in Statistics - Theory and Methods 20:8, pages 2479-2494.
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Articles from other publishers (32)

Yong Chen, Ying Li & Li Tian. (2023) Moment estimator for an AR(1) model driven by a long memory Gaussian noise. Journal of Statistical Planning and Inference 222, pages 94-107.
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C. Lu, W. Yu, R. L. Ji, H. L. Zhou & X. J. Wang. (2022) A Note on the Berry--Esseen Bounds for $\rho$-Mixing Random Variables and Their Applications. Theory of Probability & Its Applications 67:3, pages 415-433.
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Chao Lu, Chao Lu, Wei Yu, Wei Yu, Rong Lin Ji, Rong Lin Ji, Houlin Zhou, Houlin Zhou, Xuejun J Wang & Xuejun J Wang. (2022) A note on the Berry-Esseen bounds for $\rho$-mixing random variables and their applicationsA note on the Berry-Esseen bounds for $\rho$-mixing random variables and their applications. Теория вероятностей и ее применения Teoriya Veroyatnostei i ee Primeneniya 67:3, pages 519-540.
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Hui Jiang, Junfeng Liu & Shaochen Wang. (2019) Self-normalized asymptotic properties for the parameter estimation in fractional Ornstein–Uhlenbeck process. Stochastics and Dynamics 19:03, pages 1950018.
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Xiaohui Chen. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online 1 6 .
X. J. Wang & S. H. Hu. (2019) The Berry--Esseen Bound for $\rho$-Mixing Random Variables and Its Applications in Nonparametric Regression Model. Theory of Probability & Its Applications 63:3, pages 479-499.
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Xuejun J Wang & Sh. H Hu. (2018) The Berry - Esseen bound for $\rho$-mixing random variables and its applications in nonparametric regression model. Теория вероятностей и ее применения Teoriya Veroyatnostei i ee Primeneniya 63:3, pages 584-608.
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Petros Asghari & Vahid Fakoor. (2017) A Berry-Esseen type bound for the kernel density estimator based on a weakly dependent and randomly left truncated data. Journal of Inequalities and Applications 2017:1.
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Noël Veraverbeke. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online 1 10 .
Noël Veraverbeke. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Paul Janssen. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
P. Asghari, V. Fakoor & M. Sarmad. (2014) A Berry-Esseen Type Bound in Kernel Density Estimation for a Random Left-Truncation Model. Communications for Statistical Applications and Methods 21:2, pages 115-124.
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Qunying Wu & Pingyan Chen. (2013) A Berry-Esseen Type Bound in Kernel Density Estimation for Negatively Associated Censored Data. Journal of Applied Mathematics 2013, pages 1-9.
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Hui Jiang. (2018) Berry–Esseen Bounds and the Law of the Iterated Logarithm for Estimators of Parameters in an Ornstein–Uhlenbeck Process with Linear Drift. Journal of Applied Probability 49:4, pages 978-989.
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Wenzhi Yang & Shuhe Hu. (2012) The Berry-Esséen bounds for kernel density estimator under dependent sample. Journal of Inequalities and Applications 2012:1.
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Hui Jiang. (2016) Berry–Esseen Bounds and the Law of the Iterated Logarithm for Estimators of Parameters in an Ornstein–Uhlenbeck Process with Linear Drift. Journal of Applied Probability 49:04, pages 978-989.
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Wenzhi Yang, Xuejun Wang, Xiaoqin Li & Shuhe Hu. (2012) Berry–Esséen bound of sample quantiles for φ-mixing random variables. Journal of Mathematical Analysis and Applications 388:1, pages 451-462.
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Wenzhi Yang, Shuhe Hu, Xuejun Wang & Nengxiang Ling. (2012) The Berry–Esséen type bound of sample quantiles for strong mixing sequence. Journal of Statistical Planning and Inference 142:3, pages 660-672.
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Wenzhi Yang, Shuhe Hu, Xuejun Wang & Qinchi Zhang. (2011) Berry-Esséen bound of sample quantiles for negatively associated sequence. Journal of Inequalities and Applications 2011:1.
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Chu Huang, Hanchao Wang & Lixin Zhang. (2011) Berry–Esseen bounds for kernel estimates of stationaryprocesses. Journal of Statistical Planning and Inference 141:3, pages 1290-1296.
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Han-Ying Liang & Jacobo de Uña-Álvarez. (2009) A Berry–Esseen type bound in kernel density estimation for strong mixing censored samples. Journal of Multivariate Analysis 100:6, pages 1219-1231.
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Han-Ying Liang & Guo-Liang Fan. (2009) Berry–Esseen type bounds of estimators in a semiparametric model with linear process errors. Journal of Multivariate Analysis 100:1, pages 1-15.
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Han-Ying Liang & Yu-Yu Li. (2008) A BERRY-ESSEEN TYPE BOUND OF REGRESSION ESTIMATOR BASED ON LINEAR PROCESS ERRORS. Journal of the Korean Mathematical Society 45:6, pages 1753-1767.
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Han-Ying Liang & Jong-Il Baek. (2007) Berry–Esseen bounds for density estimates under NA assumption. Metrika 68:3, pages 305-322.
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Paul Janssen. 2005. Encyclopedia of Biostatistics. Encyclopedia of Biostatistics.
Noël Veraverbeke. 2005. Encyclopedia of Biostatistics. Encyclopedia of Biostatistics.
Liu-Gen Xue. (2004) Approximation rates of the error distribution of wavelet estimators of a density function under censorship. Journal of Statistical Planning and Inference 118:1-2, pages 167-183.
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. (2016) APR volume 35 issue 4 Cover and Back matter. Advances in Applied Probability 35:4, pages b1-b2.
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Paul Janssen, Jan Swanepoel & Noël Veraverbeke. (2002) The modified bootstrap error process for Kaplan–Meier quantiles. Statistics & Probability Letters 58:1, pages 31-39.
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Qi Hua Wang & Li Xing Zhu. (2001) A Berry-Essen Inequality for the Kaplan-Meier L-Estimator. Acta Mathematica Sinica, English Series 17:1, pages 169-180.
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Qi-Hua Wang. (2000) Moment and probability inequalities for the bivariate product-limit estimator. Statistics & Probability Letters 46:1, pages 1-12.
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Qihua Wang. (1997) Edgeworth expansion for the bivariate product-limit estimator. Science in China Series A: Mathematics 40:11, pages 1136-1147.
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