Survival and hazard functions for progressive diseases using saddlepoint approximations

Biometrics

Volumn 55, Issue 1, 1999, Pages 198-203

  Huzurbazar, S ^a   Huzurbazar, Aparna V ^b  

^a UNIVERSITY OF WYOMING   (United States)

^b UNIVERSITY OF NEW MEXICO   (United States)

Author keywords

Convolutions; Hazard function; Saddlepoint approximation; Survival function

Indexed keywords

BIOINFORMATICS; DISTRIBUTION FUNCTIONS; HAZARDS;

DENSITY APPROXIMATIONS; DISTRIBUTION-FUNCTIONS; HAZARD FUNCTION; PROGRESSIVE DISEASE; SADDLE POINT; SADDLE-POINT APPROXIMATION; SURVIVAL ANALYSIS; SURVIVAL FUNCTION; WAITING TIME;

CONVOLUTION;

ARTICLE; BIOMETRY; HAZARD; MATHEMATICAL ANALYSIS; METHODOLOGY; STATISTICS; SURVIVAL;

EID: 0032930991     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.0006-341X.1999.00198.x     Document Type: Article

References (13)

1. Barndorff-Nielsen, O. E. and Cox, D. R. (1989). Asymptotic Techniques for Use in Statistics. New York: Chapman and Hall.
2. Blaesild, P. and Jensen, J. (1985). Saddlepoint formulas for reproductive exponential models. Scandinavian Journal of Statistics 12, 193-202.
3. Butler, R. W. and Huzurbazar, A. V. (1997). Stochastic network models for survival analysis. Journal of the American Statistical Association 92, 246-257.
4. Butler, R. W., Huzurbazar, S., and Booth, J. G. (1992). Saddlepoint approximations for the Bartlett-Nanda-Pillai trace statistic in multivariate analysis. Biometrika 79, 705-715.
5. Cox, D. R. and Oakes, D. (1984). Analysis of Survival Data. New York: Chapman and Hall.
6. Daniels, H. E. (1954). Saddlepoint approximations in statistics. Annals of Mathematical Statistics 25, 631-650.
7. Daniels, H. E. (1987). Tail probability approximations. International Statistical Review 55, 37-48.
8. Jensen, J. L. (1995). Saddlepoint Approximations. New York: Clarendon Press.
9. Longini, I. M., Clark, W. S., Byers, R. H., Ward, J. W., Darrow, W. W., Lemp, G. F., and Hethcote, H. W. (1989). Statistical analysis of the stages of HIV infection using a Markov model. Statistics in Medicine 8, 831-843.
10. Lugannani, R. and Rice, S. (1980). Saddlepoint approximations for the distribution of the sum of independent random variables. Advances in Applied Probability 12, 475-490.
11. Reid, N. (1988). Saddlepoint methods and statistical inference (with discussion). Statistical Science 3, 213-238.
12. Reid, N. (1996). Likelihood and higher order approximations to tail areas. The Canadian Journal of Statistics 24(2), 141-165.
13. Wood, A. T. A., Booth, J. G., and Butler, R. W. (1993). Saddlepoint approximations to the CDF for some statistics with non-normal limit distributions. Journal of the American Statistical Association 88, 680-686.