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Detection of multiple change-points in hazard models.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Detection of multiple change-points in hazard models./
Author:	Zhang, Wei.
Description:	1 online resource (82 pages)
Notes:	Source: Dissertations Abstracts International, Volume: 76-01, Section: B.
Contained By:	Dissertations Abstracts International76-01B.
Subject:	Statistics. -
Online resource:	click for full text (PQDT)
ISBN:	9781303979132

Detection of multiple change-points in hazard models.
Zhang, Wei.

Detection of multiple change-points in hazard models. - 1 online resource (82 pages)

Source: Dissertations Abstracts International, Volume: 76-01, Section: B.

Thesis (Ph.D.)--Florida Atlantic University, 2014.

Includes bibliographical references

Change-point detection in hazard rate function is an important research topic in survival analysis. In this dissertation, we firstly review existing methods for single change-point detection in piecewise exponential hazard model. Then we consider the problem of estimating the change point in the presence of right censoring and long-term survivors while using Kaplan-Meier estimator for the susceptible proportion. The maximum likelihood estimators are shown to be consistent. Taking one step further, we propose an counting process based and least squares based change-point detection algorithm. For single change-point case, consistency results are obtained. We then consider the detection of multiple change-points in the presence of long-term survivors via maximum likelihood based and counting process based method. Last but not least, we use a weighted least squares based and counting process based method for detection of multiple change-points with long-term survivors and covariates. For multiple change-points detection, simulation studies show good performances of our estimators under various parameters settings for both methods. All methods are applied to real data analyses.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2024

Mode of access: World Wide Web

ISBN: 9781303979132Subjects--Topical Terms:

556824
Statistics.
Subjects--Index Terms:

Change-point detectionIndex Terms--Genre/Form:

554714
Electronic books.

Detection of multiple change-points in hazard models.
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500 $a Advisor: Qian, Lianfen.
502 $a Thesis (Ph.D.)--Florida Atlantic University, 2014.
504 $a Includes bibliographical references
520 $a Change-point detection in hazard rate function is an important research topic in survival analysis. In this dissertation, we firstly review existing methods for single change-point detection in piecewise exponential hazard model. Then we consider the problem of estimating the change point in the presence of right censoring and long-term survivors while using Kaplan-Meier estimator for the susceptible proportion. The maximum likelihood estimators are shown to be consistent. Taking one step further, we propose an counting process based and least squares based change-point detection algorithm. For single change-point case, consistency results are obtained. We then consider the detection of multiple change-points in the presence of long-term survivors via maximum likelihood based and counting process based method. Last but not least, we use a weighted least squares based and counting process based method for detection of multiple change-points with long-term survivors and covariates. For multiple change-points detection, simulation studies show good performances of our estimators under various parameters settings for both methods. All methods are applied to real data analyses.
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653 $a Change-point detection
653 $a Consistency results
653 $a Hazard rate
653 $a Parameter estimation
653 $a Survival analysis
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