A basis approach to goodness-of-fit testing in recurrent event models

Journal of Statistical Planning and Inference

Volumn 133, Issue 2, 2005, Pages 285-303

  Agustin, Ma Zenia N ^a   Peña, Edsel A ^b  

^a SOUTHERN ILLINOIS UNIVERSITY EDWARDSVILLE   (United States)

^b UNIVERSITY OF SOUTH CAROLINA   (United States)

Author keywords

Counting process; Goodness of fit test; Minimal repair model; Neyman's test; Nonhomogeneous Poisson process; Repairable system; Score test

Indexed keywords

EID: 18944382239     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2004.03.022     Document Type: Article

References (44)

1. O. Aalen Statistical inference for a family of counting processes Ann. Statist. 6 1978 701-726
2. Z. Agustin E. Peña Goodness-of-fit of the distribution of time-to-first-occurrence in recurrent event models Lifetime Data Anal. 7 2001 289-306
3. P. Andersen R. Gill Cox's regression model for counting processes: A large sample study Ann. Statist. 10 1982 1100-1120
4. D. Andrews A. Herzberg Data: A Collection of Problems from Many Fields for the Student and Research Worker 1985 Springer New York
5. V. Bagdonavicius M. Nikulin Analysis of general semiparametric models with random covariates Romanian J. Pure and Appl. Math. 42 1997 351-369
6. Bagdonavicius, V., Nikulin M., 1998a. Additive and multiplicative semiparametric models in accelerated life testing and survival analysis. Queen's papers in Pure and Appl. Math., Vol. 108.
7. V. Bagdonavicius M. Nikulin Estimation in generalized proportional hazards model CR, Acad. Sci. Paris Ser. 326 1998 1415-1420
8. V. Bagdonavicius M. Nikulin Generalized proportional hazards model based on modified partial likelihood Lifetime Data Anal. 5 1999 329-350
9. V. Bagdonavicius M. Nikulin Accelerated Life Models Modeling and Statistical Analysis 2002 Chapman & Hall/CRC Boca Raton
10. I. Baltazar-Aban E. Peña Properties of hazard-based residuals and implications in model diagnostics J. Amer. Statist. Assoc. 90 1995 185-197
11. R. Barlow D. Bartholomew J. Bremmer H. Brunk Statistical Inference Under Order Restrictions 1972 Wiley New York
12. P. Bickel Y. Ritov Testing for goodness of fit a new approach in: A.K. Md E. Saleh (Ed.) Nonparametric Statistics and Related Topics 1992 Elsevier Science Publishers B.V. Amsterdam pp.51-57
13. W. Blischke D. Murthy Reliability Modeling, Prediction, and Optimization 2000 Wiley New York
14. H. Block W. Borges T. Savits Age-dependent minimal repair J. Appl. Probab. 22 1985 370-385
15. M. Brown F. Proschan Imperfect repair J. Appl. Probab. 20 1983 851-859
16. S. Choi W. Hall A. Schick Asymptotically uniformly most powerful tests in parametric and semiparametric models Ann. Statist. 24 1996 841-861
17. D. Cox Regression models and life-tables (with discussion) J. Roy. Statist. Soc. B 34 1972 187-220
18. D. Cox D. Hinkley Theoretical Statistics 1974 Chapman & Hall London
19. R. Eubank J. Hart Testing goodness-of-fit in regression via order selection criteria Ann. Statist. 20 1992 1412-1425
20. R. Eubank V. LaRiccia Asymptotic comparison of Cramer-von Mises and nonparametric function estimation techniques for testing goodness-of-fit Ann. Statist. 20 1992 2071-2086
21. J. Fan Test of significance based on wavelet thresholding and Neyman's truncation J. Amer. Statist. Assoc. 91 1996 674-688
22. R. Gray D. Pierce Goodness-of-fit for censored survival data Ann. Statist. 13 1985 552-563
23. J. Horowitz G. Neumann A generalized moments specification test of the proportional hazards model J. Amer. Statist. Assoc. 87 1992 234-240
24. IMSL, Inc., 1987. Math/Stat Library. Authors, Houston.
25. T. Inglot W. Kallenberg T. Ledwina Power approximations to and power comparison of smooth goodness-of-fit tests Scand. J. Statist. 21 1994 131-145
26. W. Kallenberg T. Ledwina Consistency and Monte Carlo simulation of a data driven version of smooth goodness-of-fit tests Annals of Statistics 23 1995 1594-1608
27. N. Keiding C. Andersen P. Fledelius The Cox regression model for claims data in non-life insurance Astin Bull. 28 1998 95-118
28. K. Kopecky D. Pierce Efficiency of smooth goodness-of-fit tests J. Amer. Statist. Assoc. 74 1979 393-397
29. S. Lagakos The graphical evaluation of explanatory variables in proportional hazard regression models Biometrika 68 1981 93-98
30. T. Ledwina Data driven version of Neyman's smooth test of fit J. Amer. Statist. Assoc. 89 1994 1000-1005
31. G. Li H. Doss Generalized Pearson-Fisher chi-square goodness-of-fit tests, with applications to models with life history data Ann. Statist. 21 1993 772-797
32. D. Lin C. Spiekerman Model-checking techniques for parametric regression with censored data Scand. J. Statist. 23 1996 157-177
33. F. Miller G. Quesenberry Power studies of tests for uniformity II Commun. Statist. B-Simulat. Comput. 8 1979 271-290
34. J. Neyman "Smooth test" for goodness of fit Skand. Aktuarietidskrift 20 1937 149-199
35. K. Pearson On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can reasonably be supposed to have arisen from random sampling Philos. Mag. Ser. 5 1900 157-175
36. E. Peña Residuals from Type II censored samples in: N. Balakrishnan (Ed.) Recent Advances in Life-Testing and Reliability 1995 CRC Press Boca Raton, FL pp.523-543
37. E. Peña Smooth goodness-of-fit tests for the baseline hazard in Cox's proportional hazards model J. Amer. Statist. Assoc. 93 1998 673-692
38. E. Peña Smooth goodness-of-fit tests for composite hypothesis in hazard-based models Ann. Statist. 26 1998 1935-1971
39. Peña, E., Agustin, Z., 2001. A general asymptotic result useful in models with nuisance parameters. Technical Report No. 204 (May 2001), Department of Statistics, University of South Carolina, Columbia, South Carolina.
40. D. Pierce The asymptotic effect of substituting estimators for parameters in certain types of statistics Ann. Statist. 10 1982 475-478
41. R. Randles On the asymptotic normality of statistics with estimated parameters Ann. Statist. 10 1982 462-474
42. R. Randles On tests applied to residuals J. Amer. Statist. Assoc. 79 1984 349-354
43. J. Rayner D. Best Smooth Tests of Goodness of Fit 1989 Oxford New York
44. Z. Ying L. Wei J. Lin Prediction of survival probability based on a linear regression model Biometrika 79 1992 205-209