Mgr. Petr Novák, Ph.D.

Publications

Diagnostic Methods for the Accelerated Failure Time Model

Authors
Year
2017
Published
Informační bulletin České statistické společnosti. 2017, 28(1), 12-20. ISSN 1210-8022.
Type
Article
Annotation
The Accelerated failure time model allows us to interpret the dependence of the life time distribution of an individual on available explanatory variables in the presence of censoring. In this work we explore diagnostic methods and present new goodness-of-fit trstiny procedures for this model. We use methods based on classic linear regression residuals approach modified for censored data as well as counting process theory.

Predicting the Life Expectancy of Railway Fail-safe Signaling Systems Using Dynamic Models with Censoring

Year
2017
Published
2017 IEEE International Conference on Software Quality, Reliability and Security (QRS). Los Alamitos, CA: IEEE Computer Soc., 2017. p. 329-339. ISBN 978-1-5386-0592-9.
Type
Proceedings paper
Annotation
In the presented work we predict the life expectancy of multi-part railway fail-safe signaling systems. The monitored electronic track circuits detect train locations and movement in real time, and issue alerts and warnings to prevent collisions. Based on 10 years of failure reports from the manufacturer of systems used by Czech railroads, we establish estimates of time-to-failure distributions of their components. We modify and apply survival models for censored data with various parameters for which we propose and compare new estimators. Both left and right time-based censoring of the data is considered. This approach allows us to include in the analysis components that were in operation before the study started, as well as components that were functional after the end of the study. Special attention is paid to the correct treatment of missing and incomplete data in the analyzed reports. We compare models with constant and variable failure rates. Hypotheses testing methodology is used to select a model with the best fit for the analyzed data.