Regresní modely pro intenzity poruch v analýze spolehlivosti
Regression models for intensities of failures in the reliability analysis
diploma thesis (DEFENDED)
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http://hdl.handle.net/20.500.11956/20794Identifiers
Study Information System: 48028
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- Kvalifikační práce [11266]
Author
Advisor
Referee
Kulich, Michal
Faculty / Institute
Faculty of Mathematics and Physics
Discipline
Probability, mathematical statistics and econometrics
Department
Department of Probability and Mathematical Statistics
Date of defense
11. 5. 2009
Publisher
Univerzita Karlova, Matematicko-fyzikální fakultaLanguage
Czech
Grade
Very good
In the present work we study regression models in reliability analysis. We compare the Cox proportional hazards model, Aalen additive model, accelerated failure time model and their combinations. For each model we present procedures for estimating parametric and non-parametric risk function parts and goodness-of-fit tests based on classic regression routines and counting process theory. We demonstrate those tests on both real and simulated data and we focus on procedures how to find the model with the best fit.