Academic Journal
Detection of multiple change-points in hazard models
| Τίτλος: | Detection of multiple change-points in hazard models |
|---|---|
| Συνεισφορές: | Zhang, Wei (author), Qian, Lianfen (Thesis advisor), Florida Atlantic University (Degree grantor), Charles E. Schmidt College of Science, Department of Mathematical Sciences |
| Στοιχεία εκδότη: | Florida Atlantic University |
| Συλλογή: | FAU Digital Collections (Florida Atlantic University Digital Library) |
| Θεματικοί όροι: | Problem solving--Data processing, Process control--Statistical methods, Point processes, Mathematical statistics, Failure time data analysis--Data processing, Survival analysis (Biometry)--Data processing |
| Περιγραφή: | 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. ; Includes bibliography. ; Dissertation (Ph.D.)--Florida Atlantic University, 2014. ; FAU Electronic Theses and Dissertations Collection |
| Τύπος εγγράφου: | text |
| Περιγραφή αρχείου: | 81 p.; application/pdf; Electronic Thesis or Dissertation |
| Γλώσσα: | English |
| Relation: | FA00004173; http://purl.flvc.org/fau/fd/FA00004173 |
| Διαθεσιμότητα: | http://purl.flvc.org/fau/fd/FA00004173 https://fau.digital.flvc.org/islandora/object/fau%3A13406/datastream/TN/view/Detection%20of%20multiple%20change-points%20in%20hazard%20models.jpg |
| Rights: | Copyright © is held by the author, with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder. ; http://rightsstatements.org/vocab/InC/1.0/ |
| Αριθμός Καταχώρησης: | edsbas.EA16C100 |
| Βάση Δεδομένων: | BASE |
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