Pearson-type goodness-of-fit tests: The univariate case

Journal of the American Statistical Association

Volumn 83, Issue 401, 1988, Pages 222-230

  Akritas, Michael G ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

Chi squared tests; Maximum likelihood estimators; Minimum chi squared estimators; Random censoring; Weak convergence

Indexed keywords

EID: 0001126103     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1988.10478590     Document Type: Article

References (22)

1. Akritas, M. G. (in press), “Rank Tests With Interval-Censored Data,” The Annals of Statistics, 16.
2. Burke, M.D. (1981), “Tests for Exponentiality Based on Randomly Censored Data,” in Nonparametric Statistical Inference, ed. L. Rejto, Amsterdam: North-Holland.
3. Chen, C.-H. (1984), “A Correlation Goodness-of-Fit Test for Randomly Censored Data,” Biometrika, 71, 315–322.
4. Chen, Y. Y., Hollander, M., and Langberg, N. A. (1983), “Testing Whether New Is Better Than Used With Randomly Censored Data,” The Annals of Statistics, 11, 267–274.
5. 2Tests for Goodness of Fit,” Annals of Mathematical Statistics, 25, 579–586.
6. Cramer, H., and Leadbetter, M. R. (1967), Stationary and Related Stochastic Processes, New York: John Wiley.
7. Durbin, J. (1973), “Weak Convergence of the Sample Distribution Function When Parameters Are Estimated,” The Annals of Statistics, 1, 279–290.
8. Gray, R. J., and Pierce, D. A. (1985), “Goodness-of-Fit Tests for Censored Survival Data,” The Annals of Statistics, 13, 552–563.
9. Habib, M. G., and Thomas, D. R. (1986), “Chi-Square Goodness-of-Fit Tests for Randomly Censored Data,” The Annals of Statistics, 14, 759–765.
10. Hjort, N. L. (1986), “Weak Convergence of Cumulative Intensity Processes When Parameters Are Estimated, With Applications to Goodness-of-Fit Tests in Models With Censoring,” technical report, Norwegian Computing Center, Oslo.
11. Kalbfleisch, J. D., and Prentice, R. L. (1980), The Statistical Analysis of Failure Time Data, New York: John Wiley.
12. Liptser, R. S., and Shiryayev, A. N. (1978), Statistics of Random Processes, II: Applications, Berlin: Springer-Verlag.
13. Mihalko, D. P., and Moore, D. S. (1980), “Chi-Square Tests of Fit for Type II Censored Data,” The Annals of Statistics, 8, 625–644.
14. Moore, D. S. (1978), “Chi-Square Tests,” in Studies in Statistics, ed. R. V. Hogg, Washington, DC: Mathematical Association of America.
15. Moreau, T., O’Quigley, J., and Mesbah, M. (1985), “A Global Goodness-of-Fit Statistic for the Proportional Hazards Model,” Applied Statistics, 34, 212–218.
16. Nair, V. N. (1984), “Confidence Bands for Survival Functions With Censored Data: A Comparative Study,” Technometrics, 26, 265–275.
17. O’Neill, T. J. (1984), “A Goodness-of-Fit Test for One-Sample Life Table Data,” Journal of the American Statistical Association, 79, 194–199.
18. O’Reilly, N. E. (1974), “On the Weak Convergence of Empirical Processes in Sup-Norm Metrics,” The Annals of Probability, 4, 642–651.
19. Rao, C. R. (1973), Linear Statistical Inference and Its Applications, New York: John Wiley.
20. Rao, K. C., and Robson, D. S. (1974), “A Chi-Square Statistic for Goodness-of-Fit Within the Exponential Family,” Communications in Statistics, 3, 1139–1153.
21. Turnbull, B. W., and Weiss, L. (1978), “A Likelihood Ratio Statistic for Testing Goodness of Fit With Randomly Censored Data,” Biometrics, 34, 367–376.
22. Wei, L. J. (1984), “Testing Goodness of Fit for Proportional Hazards Model With Censored Observations,” Journal of the American Statistical Association, 19, 649–652.