Modeling lifetime data with multiple causes using cause specific reversed hazard rates
Keywords:Cause specific reversed hazard rates, Cumulative incidence function, Nonparametric estimation
AbstractIn this paper we introduce and study cause specific reversed hazard rates in the context of left censored lifetime data with multiple causes. Nonparametric inference procedure for left censored lifetime data with multiple causes using cause specific reversed hazard rate is discussed. Asymptotic properties of the estimators are studied. Simulation studies are conducted to assess the efficiency of the estimators. Further, the proposed method is applied to mice mortality data (Hoel 1972) and Australian twin data (Duffy et al. 1990).
P. K. ANDERSEN, Ø. BORGAN, R. D. GILL, N. KEIDING (1993). Statistical Models Based on Counting Processes. Springer Verlag, New York.
R. E. BARLOW, A. W. MARSHALL, F. PROSCHAN (1963). Properties of prob-ability distributions with monotone hazard rate. The Annals of Mathematical Statistics, 34, no. 2, pp. 375–389.
H. W. BLOCK, T. H. SAVITS, H. SINGH (1998). The reversed hazard rate function. Probability in the Engineering and Informational Sciences, 12, pp. 69–90.
M. J. CROWDER (2001). Classical Competing Risks. CRC Press, London. I. Dewan, S. Kulathinal (2007). On testing dependence between time to failure and cause of failure when causes of failure are missing. PloS one, 2, no. 12, p. e1255.
D. L. DUFFY, N. G. MARTIN, J. D. MATHEWS (1990). Appendectomy in Australian twins. American Journal of Human Genetics, 47, no. 3, p. 590.
M. S. FINKELSTEIN (2002). On the reversed hazard rate. Reliability Engineering & System Safety, 78, no. 1, pp. 71–75.
T. R. FLEMING, D. P. HARRINGTON (1991). Counting Processes and Survival Analysis. John Wiley & Sons, New York.
R. C. GUPTA, P. L. GUPTA, R. D. GUPTA (1998). Modeling failure time data by Lehman alternatives. Communications in Statistics - Theory and Methods, 27, no. 4, pp. 887–904.
R. C. GUPTA, R. D. GUPTA (2007). Proportional reversed hazard rate model and its applications. Journal of Statistical Planning and Inference, 137, no. 11, pp. 3525–3536.
Ü. GÜRLER (1996). Bivariate estimation with right-truncated data. Journal of the American Statistical Association, 91, pp. 1152–1165.
D. G. HOEL (1972). A representation of mortality data by competing risks. Biometrics, 28, pp. 475–488.
J. H. JEONG, J. P. FINE (2009). A note on cause-specic residual life. Biometrika, 96, no. 1, pp. 237–242.
J. D. KALBFLEISCH, R. L. PRENTICE (2002). The Statistical Analysis of Failure Time Data, John Wiley & Sons, New York.
J. KEILSON, U. SUMITA (1982). Uniform stochastic ordering and related inequalities. Canadian Journal of Statistics, 10, no. 3, pp. 181–198.
J. F. LAWLESS (2003). Statistical Models and Methods for Lifetime Data. John Wiley & Sons, New York.
A. W. MARSHALL, I. OLKIN (2007). Life Distributions. Springer, New York.
N. U. NAIR, P. G. SANKARAN, G. ASHA (2005). Characterizations based on reliability concepts. Journal of Applied Statistical Science, 14, no. 34, pp. 237–242.
L. PENG, J. P. FINE (2007). Nonparametric quantile inference with competing-risks data. Biometrika, 94, no. 3, pp. 735–744.
D. SENGUPTA, A. K. NANDA (2010). The proportional reversed hazards regression model. Journal of Applied Statistical Science, 18, no. 4, pp. 461–476.
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