Strong limit theorems for oscillation moduli of PL-process and cumulative hazard process under truncation and censorship with applications |
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| Authors: | Liuquan Sun Yong Zhou |
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| Affiliation: | (1) Institute of Applied Mathematics, Academia Sinica, 100080 Beijing, P. R. China |
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| Abstract: | In this paper we obtain exact rates of uniform convergence for oscillation moduli and Lipschitz-1/2 moduli of PL-process and cumulative hazard process when the data are subject to left truncation and right censorship. Based on these results, the exact rates of uniform convergence for various types of density and hazard function estimators are derived. Research supported by the Postdoctoral Programme Foundation and the National Natural Science Foundation of China |
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| Keywords: | Truncation and censorship Oscillation modulus PL-process Cumulative hazard process Kernel estimator |
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