國立虎尾科技大學 |

Detection of multiple change-points in hazard models.

紀錄類型:	書目-語言資料,手稿 : Monograph/item
正題名/作者:	Detection of multiple change-points in hazard models./
作者:	Zhang, Wei.
面頁冊數:	1 online resource (82 pages)
附註:	Source: Dissertations Abstracts International, Volume: 76-01, Section: B.
Contained By:	Dissertations Abstracts International76-01B.
標題:	Applied mathematics. -
電子資源:	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:

1069907
Applied mathematics.
Subjects--Index Terms:

Change-point detectionIndex Terms--Genre/Form:

554714
Electronic books.

Detection of multiple change-points in hazard models.
LDR:02584ntm a22003977 4500 001 1147141
005 20240909062227.5
006 m o d
007 cr bn ---uuuuu
008 250605s2014 xx obm 000 0 eng d
020 $a 9781303979132
035 $a (MiAaPQ)AAI3584937
035 $a AAI3584937
040 $a MiAaPQ $b eng $c MiAaPQ $d NTU
100 1 $a Zhang, Wei. $3 784592
245 1 0 $a Detection of multiple change-points in hazard models.
264 0 $c 2014
300 $a 1 online resource (82 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertations Abstracts International, Volume: 76-01, Section: B.
500 $a Publisher info.: Dissertation/Thesis.
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.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2024
538 $a Mode of access: World Wide Web
650 4 $a Applied mathematics. $3 1069907
650 4 $a Statistics. $3 556824
653 $a Change-point detection
653 $a Consistency results
653 $a Hazard rate
653 $a Parameter estimation
653 $a Survival analysis
655 7 $a Electronic books. $2 local $3 554714
690 $a 0364
690 $a 0463
710 2 $a Florida Atlantic University. $b Mathematical Sciences. $3 1472798
710 2 $a ProQuest Information and Learning Co. $3 1178819
773 0 $t Dissertations Abstracts International $g 76-01B.
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3584937 $z click for full text (PQDT)