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Asymptotic Behavior of the Lipschitz-1/2 Modulus of the PL-process for Truncated and Censored Data 被引量:1
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作者 YongZHOU GuoFuWU XueLeiJIANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2003年第4期729-738,共10页
In this paper, we give a detailed description of the local behavior of theLipschitz-1/2 modulus for cumulative hazard process and PL-process when the data are subject to lefttruncation and right censored observations.... In this paper, we give a detailed description of the local behavior of theLipschitz-1/2 modulus for cumulative hazard process and PL-process when the data are subject to lefttruncation and right censored observations. We establish laws of the iterated logarithm of theLipschitz-1/2 modulus of PL-process and cumulative hazard process. These results for the PL-processare sharper than other results found in the literature, which can be used to establish theasymptotic properties of many statistics. 展开更多
关键词 truncated and censored data oscillation modulus Lipschitz-1/2 modulus PL-process cumulative hazard process law of the iterated logarithm
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Strong Limit Theorems for Oscillation Moduli of PL-Process and Cumulative Hazard Process under Truncation and Censorship with Applications
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作者 Liuquan Sun Yong Zhou, Institute of Applied Mathematics, Academia Sinica, Beijing 100080, P. R. China 《Acta Mathematica Sinica,English Series》 SCIE CSCD 1999年第2期235-244,共10页
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.... 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. 展开更多
关键词 Truncation and censorship oscillation modulus PL-process Cumulative hazard process Kernel estimator
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