Asymptotic Behavior of the Lipschitz-1/2 Modulus of the PL-process for Truncated and Censored Data

In this paper, we give a detailed description of the local behavior of the Lipschitz-1/2 modulus for cumulative hazard process and PL-process when the data are subject to left truncation and right censored observations. We establish laws of the iterated logarithm of the Lipschitz-1/2 modulus of PL-p...

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Bibliographic Details
Published inActa mathematica Sinica. English series Vol. 19; no. 4; pp. 729 - 738
Main Authors Zhou, Yong, Wu, Guo Fu, Jiang, Xue Lei
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.10.2003
Subjects
Asymptotic methods
Asymptotic properties
Hazards
Laws
Logarithms
Neighborhoods
Random variables
Statistics
Studies
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ISSN1439-8516
1439-7617
DOI10.1007/s10114-003-0289-8

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Summary:In this paper, we give a detailed description of the local behavior of the Lipschitz-1/2 modulus for cumulative hazard process and PL-process when the data are subject to left truncation and right censored observations. We establish laws of the iterated logarithm of the Lipschitz-1/2 modulus of PL-process and cumulative hazard process. These results for the PL-process are sharper than other results found in the literature, which can be used to establish the asymptotic properties of many statistics.[PUBLICATION ABSTRACT]
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ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-003-0289-8