In some long term studies, a series of dependent and possibly truncated life-times may be observed. Suppose that the lifetimes have a common marginal distribution function. In left-truncation model, one observes data (Xi,Ti)
only, when Ti ≤ Xi. Under some regularity conditions, we provide a strong representation of the ßn estimator of ß = P(Ti ≤ Xi), in the form of an average of random variables plus a remainder term. This representation en-ables us to obtain the asymptotic normality for ßn .
Jomhoori, S., Fakoor, V., & Azarnoosh, H. A. (2009). Asymptotic normality of the truncation probability estimator for truncated dependent data. Iranian Journal of Numerical Analysis and Optimization, 2(1), -. doi: 10.22067/ijnao.v2i1.639
MLA
S. Jomhoori; V. Fakoor; H. A. Azarnoosh. "Asymptotic normality of the truncation probability estimator for truncated dependent data". Iranian Journal of Numerical Analysis and Optimization, 2, 1, 2009, -. doi: 10.22067/ijnao.v2i1.639
HARVARD
Jomhoori, S., Fakoor, V., Azarnoosh, H. A. (2009). 'Asymptotic normality of the truncation probability estimator for truncated dependent data', Iranian Journal of Numerical Analysis and Optimization, 2(1), pp. -. doi: 10.22067/ijnao.v2i1.639
VANCOUVER
Jomhoori, S., Fakoor, V., Azarnoosh, H. A. Asymptotic normality of the truncation probability estimator for truncated dependent data. Iranian Journal of Numerical Analysis and Optimization, 2009; 2(1): -. doi: 10.22067/ijnao.v2i1.639
)
Send comment about this article