|
|
|
Random weighting estimation for survival function under right censorship |
Wei LIANG( ) |
| School of Mathematical Sciences, Xiamen University, Xiamen 361005, China |
|
|
|
|
Abstract The random weighting method is an emerging computing method in statistics. In this paper, we propose a novel estimation of the survival function for right censored data based on the random weighting method. Under some regularity conditions, we prove the strong consistency of this estimation.
|
| Keywords
Right censored data
survival function
random weighting method
|
|
Corresponding Author(s):
Wei LIANG
|
|
Issue Date: 19 May 2022
|
|
| 1 |
B Efron. Bootstrap Methods: another look at the Jackknife. Ann Statist, 1979, 7 (1): 1- 26
|
| 2 |
S S Wilks. Mathematical Statistics. New York: John Wiley & Sons, 1962
|
| 3 |
A V Jr Peterson. Expressing the Kaplan-Meier estimator as a function of empirical subsurvival functions. J. Amer Statist Assoc, 1977, 72: 854- 858
|
| 4 |
Z G Zheng. Random weighting method. Acta Mathematicae Applicatae Sinica, 1987, 10 (2): 247- 253 (in Chinese)
|
| 5 |
Z G Zheng, D S Tu. Random weighted approximation in linear model. SCI CHINA SER A, 1988, 31 (6): 561- 575 (in Chinese)
|
| 6 |
Y H Wu, L C Zhao. A large sample study of random weighted bootstrap in linear models. Science in China Series A: Mathematics, 1999, 42 (10): 1066- 1074
https://doi.org/10.1007/BF02889508
|
| 7 |
Y X Fang, L C Zhao. Approximation to the distribution of LAD estimators for censored regression by random weighting method. J. Statist Plan Infer, 2006, 136 (4): 1302- 1316
https://doi.org/10.1016/j.jspi.2004.09.010
|
| 8 |
X Y Wu, Y N Yang, L C Zhao. Approximation by random weighting method for M-test in linear models. Science in China: Series A, Mathematics, 2007, 50 (1): 87- 99
https://doi.org/10.1007/s11425-007-2022-z
|
| 9 |
D B Rubin. The Bayesian bootstrap. The annals of statistics, 1981: 130- 134
|
| 10 |
A Y Lo. A large sample study of the Bayesian bootstrap. The annals of statistics, 1987: 360- 375
|
| 11 |
T L Ng, M A Newton. Newton M A. Random weighting in LASSO regression. arXiv preprint arXiv:2002.02629, 2020
|
| 12 |
Z Gao, C Gu, J Yang, S Gao, Y Zhong. Random Weighting-Based Nonlinear Gaussian Filtering. IEEE Access, 2020, 8: 19590- 19605
https://doi.org/10.1109/ACCESS.2020.2968363
|
| 13 |
D S Tu, Z G Zheng. Asymptotic Expansion of Random Weighting Method. Applied Probability and Statistics, 1987, 3 (4): 340- 347 (in Chinese)
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
| |
Shared |
|
|
|
|
| |
Discussed |
|
|
|
|
