Non-parametric estimation of state occupation, entry and exit times with multistate current status data

Statistical Methods in Medical Research

Volumn 19, Issue 2, 2010, Pages 147-165

  Lan, Ling ^a   Datta, Somnath ^a  

^a UNIVERSITY OF LOUISVILLE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BIOSTATISTICS; CALCULATION; FRACTIONATION; GROUPS BY AGE; NONPARAMETRIC TEST; PARAMETRIC TEST; PROBABILITY; PUBERTY; SEXUAL DEVELOPMENT; SIMULATION; STATISTICAL DISTRIBUTION; SYSTEMATIC ERROR;

HEALTH STATUS; HUMANS; MODELS, THEORETICAL; NUTRITION SURVEYS; STATISTICS, NONPARAMETRIC; SURVIVAL ANALYSIS;

EID: 77951689047     PISSN: 09622802     EISSN: None     Source Type: Journal    
DOI: 10.1177/0962280208094278     Document Type: Article

References (22)

1. Datta S., Sundaram R. Nonparametric estimation of state occupation probabilities in a multistate model with current status data. Biometrics 2006 ; 62: 829-837. (Pubitemid 44410641)
2. NHANES III, NHANES III Reference manuals and reports (CD-ROM). Analytic and reporting guidelines: the Third National Health and Nutrition Examination Survey (1988-94). Hyattsville, MD: National Center for Health Statistics, Centers for Disease Control and Prevention ; 1997.
3. Pepe MS Inference for events with dependent risks in multiple end point studies. Journal of American Statistical Association 1991 ; 86: 770-778.
4. Aalen OO Nonparametric inference in connection with multiple decrement models. Scandinavian Journal of Statistics 1976 ; 3: 15-27.
5. Aalen OO Nonparametric inference for a family of counting processes. Annals of Statistics 1978 ; 6: 701-726.
6. Aalen OO, Johansen S. An empirical transition matrix for nonhomogeneous Markov chains based on censored observations. Scandinavian Journal of Statistics 1978 ; 5: 141-150.
7. Datta S., Satten, GA Validity of the Aalen-Johansen estimators of stage occupation probabilities and integrated transition hazards for non-Markov models. Statistics and Probability Letters 2001 ; 55: 403-411. (Pubitemid 33619154)
8. Datta S., Satten GA Estimation of integrated transition hazards and stage occupation probabilities for non-Markov systems under stage dependent censoring. Biometrics 2002 ; 58: 792-802. (Pubitemid 36133757)
9. Aalen OO, Borgan Ø, Fekjær, H. Covariate adjustment of event histories estimated from Markov chains: The additive approach. Biometrics 2001 ; 57: 993-1001. (Pubitemid 33108089)
10. Datta S., Satten GA Estimating future stage entry and occupation probabilities in a multistate model based on randomly right-censored data. Statistics and Probability Letters 2000 ; 50: 89-95.
11. Datta S., Satten GA, Datta S. Nonparametric estimation for the three-stage irreversible illness-death model. Biometrics 2000 a, 56: 841-847.
12. Marshall WA, Tanner JM Variations in pattern of pubertal changes in girls. Archives of Disease in Childhood 1969 ; 44: 291-303.
13. Marshall WA, Tanner JM Variation in the pattern of pubertal changes in boys. Archives of Disease in Childhood 1970 ; 45: 13-23.
14. Barlow RE, Bartholomew JM, Bremner JM, Brunk, HD Statistical Inference Under Order Restrictions. New York: John Wiley, 1972.
15. Mukerjee H. Monotone nonparametric regression. Annals of Statistics 1988 ; 16: 741-750.
16. Nadaraya E. On estimating regression. Theory of Probability and Its Applications 1964 ; 9: 141-142.
17. Watson G., Smooth regression analysis. Sankhya 1964 ; 26A: 302-305.
18. Andersen PK, Borgan Ø, Gill RD and Keiding, N. Statistical Models Based on Counting Processes. New York: Springer-Verlag, 1993.
19. Datta S., Satten GA, Datta S. Estimation of stage occupation probabilities in multistate models. In: Balakrishnan, N eds. Advances on Theoretical and Methodological Aspects of Probability and Statistics. New York: Gordon and Breach, 2000 b; 493-506.
20. Karr AF Point Processes and Their Statistical Inference. 2 nd edition, Markel Dekker, New York, 1991.
21. Wand MP, Jones MC Kernel Smoothing. London: Chapman & Hall, 1995.
22. Plevritis SK, Salzman P., Sigal BM, Glynn PW A natural history model of stage progression applied to breast cancer. Statistics in Medicine 2007 ; 26: 581-595. (Pubitemid 46139540)