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

Yong Zhou; Guo Fu Wu; Xue Lei Jiang

doi:10.1007/s10114-003-0289-8

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

Yong Zhou, Guo Fu Wu, Xue Lei Jiang

CAS - Institute of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	729-738
Number of pages	10
Journal	Acta Mathematica Sinica, English Series
Volume	19
Issue number	4
DOIs	https://doi.org/10.1007/s10114-003-0289-8
State	Published - Oct 2003
Externally published	Yes

Keywords

Cumulative hazard process
Law of the iterated logarithm
Lipschitz-1/2 modulus
Oscillation modulus
Pl-process
Truncated and censored data

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10.1007/s10114-003-0289-8

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abstract = "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.",

keywords = "Cumulative hazard process, Law of the iterated logarithm, Lipschitz-1/2 modulus, Oscillation modulus, Pl-process, Truncated and censored data",

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AU - Zhou, Yong

AU - Wu, Guo Fu

AU - Jiang, Xue Lei

PY - 2003/10

Y1 - 2003/10

N2 - 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.

AB - 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.

KW - Cumulative hazard process

KW - Law of the iterated logarithm

KW - Lipschitz-1/2 modulus

KW - Oscillation modulus

KW - Pl-process

KW - Truncated and censored data

UR - https://www.scopus.com/pages/publications/1442280666

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JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 4

ER -

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

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Keywords

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