Plots and tests for goodness of fit with randomly censored data
作者： V. N. NAIR
关键词: Nonparametric statistics 、 Probability plot 、 Cumulative hazard 、 Quantile 、 Censoring (statistics) 、 Mathematics 、 Econometrics 、 Survival function 、 Goodness of fit 、 Statistics
摘要: SUMMARY In this paper, we consider nonparametric procedures for assessing goodness of fit when the data may be subject to random censoring. We introduce two classes large-sample tests, based, respectively, on maximum and average weighted difference between specified survival function Kaplan-Meier estimate true function. The in first class are inverted obtain simultaneous confidence bands cumulative hazard functions. These provide associated with percentage (P-P), quantile (Q-Q) plots censored data. Some key word8: Hazard function; Nonparametric procedure; Probability plot; Shift Survival
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sci-hub.se 参考文章(12)
B. Efron, The two sample problem with censored data Proc. Fifth Berkely Symp. Math. Statist. Prob.. ,vol. 4, pp. 831- 853 ,(1967)
KJELL A. DOKSUM, GERALD L. SIEVERS, Plotting with confidence: Graphical comparisons of two populations Biometrika. ,vol. 63, pp. 421- 434 ,(1976) , 10.1093/BIOMET/63.3.421
M. B. WILK, R. GNANADESIKAN, Probability plotting methods for the analysis of data Biometrika. ,vol. 55, pp. 1- 17 ,(1968) , 10.1093/BIOMET/55.1.1
W. J. HALL, JON A. WELLNER, Confidence bands for a survival curve from censored data Biometrika. ,vol. 67, pp. 133- 143 ,(1980) , 10.1093/BIOMET/67.1.133
Kjell Doksum, Empirical Probability Plots and Statistical Inference for Nonlinear Models in the Two-Sample Case Annals of Statistics. ,vol. 2, pp. 267- 277 ,(1974) , 10.1214/AOS/1176342662
J. HYDE, Testing survival under right censoring and left truncation Biometrika. ,vol. 64, pp. 225- 230 ,(1977) , 10.1093/BIOMET/64.2.225
JAMES A. KOZIOL, SYLVAN B. GREEN, A Cramér-von Mises statistic for randomly censored data Biometrika. ,vol. 63, pp. 465- 474 ,(1976) , 10.1093/BIOMET/63.3.465
Alfréd Rényi, On the theory of order statistics Acta Mathematica Hungarica. ,vol. 4, pp. 191- 231 ,(1953) , 10.1007/BF02127580
N. Breslow, J. Crowley, A Large Sample Study of the Life Table and Product Limit Estimates Under Random Censorship Annals of Statistics. ,vol. 2, pp. 437- 453 ,(1974) , 10.1214/AOS/1176342705
Wayne Nelson, Theory and applications of hazard plotting for censored failure data Technometrics. ,vol. 42, pp. 12- 25 ,(2000) , 10.2307/1271428