Testing goodness of fit of a uniform truncation model

Biometrics

Volumn 63, Issue 2, 2007, Pages 405-412

  Mandel, Micha ^a,b   Betensky, Rebecca A ^a  

^a HARVARD SCHOOL OF PUBLIC HEALTH   (United States)

^b HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

Paired test; Random censoring; Residual lifetime; Size bias; Survival

Indexed keywords

DATA SET; GOODNESS OF FIT; LIFE-TIME DISTRIBUTION; PAIRED-TEST; PERFORMANCE; RANDOM CENSORING; RESIDUAL LIFETIME; SIZE BIAS; SURVIVAL; TRUNCATION MODELS;

DATA SET; ESTIMATION METHOD; SIMULATION; SURVIVAL; THEORETICAL STUDY;

AGED; ARTICLE; CENSORSHIP; CHI SQUARE TEST; CONTROLLED STUDY; CROSS-SECTIONAL STUDY; HUMAN; MALE; SAMPLE (STATISTICS); SAMPLING; SIMULATION; STATISTICAL DISTRIBUTION; STATISTICAL MODEL; SURVIVAL RATE;

EID: 34547685793     PISSN: 0006341X     EISSN: 15410420     Source Type: Journal    
DOI: 10.1111/j.1541-0420.2006.00710.x     Document Type: Article

References (29)

1. Andersen, E. B. (1970). Asymptotic properties of conditional maximum-likelihood estimators (Corr: 1971, 33, 167). Journal of the Royal Statistical Society, Series B: Methodological 32, 283 301.
2. Asgharian, M., M'Lan, C. E., and Wolfson, D. B. (2002). Length-biased sampling with right censoring: An unconditional approach. Journal of the American Statistical Association 97, 201 209.
3. Asgharian, M., Wolfson, D. B., and Zhang, X. (2006). Checking stationarity of the incidence rate using prevalent cohort survival data. Statistics in Medicine 25, 1751 1767.
4. Bilker, W. B. and Wang, M.-C. (1997). Bootstrapping left truncated and right censored data. Communications in Statistics - Simulation and Computation 26, 141 171.
5. de Uña-Álvarez, J. (2004a). Nonparametric estimation under length-biased sampling and type I censoring: A moment based approach. Annals of the Institute of Statistical Mathematics 56, 667 681.
6. de Uña-Álvarez, J. (2004b). Nelson-Aalen and product-limit estimation in selection bias models for censored populations. Journal of Nonparametric Statistics 16, 761 777.
7. de Uña-Álvarez, J. and Rodríguez-Casal, A. (2006). Nonparametric estimation from length-biased data under competing risks. Computational Statistics & Data Analysis, in press.
8. Gangnon, R. E. and Kosorok, M. R. (2004). Sample-size formula for clustered survival data using weighted log-rank statistics. Biometrika 91, 263 275.
9. Gross, S. T. and Lai, T. L. (1996). Bootstrap methods for truncated and censored data. Statistica Sinica 6, 509 530.
10. Huang, Y. and Wang, M.-C. (1995). Estimating the occurrence rate for prevalent survival data in competing risks models. Journal of the American Statistical Association 90, 1406 1415.
11. Hyde, J. (1977). Testing survival under right censoring and left truncation. Biometrika 64, 225 230.
12. Jung, S.-H. (1999). Rank tests for matched survival data. Lifetime Data Analysis 5, 67 79.
13. Kalbfleisch, J. D. and Lawless, J. F. (1989). Inference based on retrospective ascertainment: An analysis of the data on transfusion-related AIDS. Journal of the American Statistical Association 84, 360 372.
14. Keiding, N. (1991). Age-specific incidence and prevalence: A statistical perspective. Journal of the Royal Statistical Society, Series A: Statistics in Society 154, 371 396.
15. Laslett, G. M. (1982). The survival curve under monotone density constraints with applications to two-dimensional line segment processes. Biometrika 69, 153 160.
16. Li, G. and Doss, H. (1993). Generalized Pearson-Fisher chi-square goodness-of-fit tests, with applications to models with life history data. Annals of Statistics 21, 772 797.
17. Li, G., Qin, J., and Tiwari, R. C. (1997). Semiparametric likelihood ratio-based inferences for truncated data. Journal of the American Statistical Association 92, 236 245.
18. Martin, E. C. and Betensky, R. A. (2005). Testing quasi-independence of failure and truncation times via conditional Kendall's tau. Journal of the American Statistical Association 100, 484 492.
19. Murray, S. (2001). Using weighted Kaplan-Meier statistics in nonparametric comparisons of paired censored survival outcomes. Biometrics 57, 361 368.
20. Qin, J. and Wang, M.-C. (2001). Semiparametric analysis of truncated data. Lifetime Data Analysis 7, 225 242.
21. Sun, L. and Zhu, L. (2000). A semiparametric model for truncated and censored data. Statistics & Probability Letters 48, 217 227.
22. Tsai, W.-Y. (1990). Testing the assumption of independence of truncation time and failure time. Biometrika 77, 169 177.
23. Vardi, Y. (1982). Nonparametric estimation in renewal processes. Annals of Statistics 10, 772 785.
24. Vardi, Y. (1989). Multiplicative censoring, renewal processes, deconvolution and decreasing density: Nonparametric estimation. Biometrika 76, 751 761.
25. Wang, M.-C. (1989). A semiparametric model for randomly truncated data. Journal of the American Statistical Association 84, 742 748.
26. Wang, M.-C. (1991). Nonparametric estimation from cross-sectional survival data. Journal of the American Statistical Association 86, 130 143.
27. Wang, M.-C., Jewell, N. P., and Tsai, W.-Y. (1986). Asymptotic properties of the product limit estimate under random truncation. Annals of Statistics 14, 1597 1605.
28. Woodroofe, M. (1985). Estimating a distribution function with truncated data. Annals of Statistics 13, 163 177 (Corr: 1987, 15, 883).
29. Woolson, R. F. and O'Gorman, T. W. (1992). A comparison of several tests for censored paired data. Statistics in Medicine 11, 193 208.