Abstract
Finally, we define and analyze a family of support dependent G-generalized aging intensity functions which allow to measure and compare aging tendencies of lifetime random variables in various time scalings (Sect. 8.1). In Sect. 8.2 we present some basic properties of support dependent G-generalized aging intensity functions and describe their connections with the star order. The support dependent G-generalized aging intensity functions are used for characterization of lifetime distributions in Sect. 8.3. Some of these characterizations are unique, but the others determine scale families of distributions. Exemplary characterizations are presented in Sect. 8.4. In Sect. 8.5, we consider stochastic orders based on support dependent G-generalized aging intensities. With use of exemplary simulation study, we propose in Sect. 8.6 a method of identifying parametric models by means of nonparametric estimates of the support dependent G-generalized aging intensity functions.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Szymkowiak, M. (2020). Support Dependent G-Generalized Aging Intensity Functions. In: Lifetime Analysis by Aging Intensity Functions. Studies in Systems, Decision and Control, vol 196. Springer, Cham. https://doi.org/10.1007/978-3-030-12107-5_8
Download citation
DOI: https://doi.org/10.1007/978-3-030-12107-5_8
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-12106-8
Online ISBN: 978-3-030-12107-5
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)