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Support Dependent G-Generalized Aging Intensity Functions

  • Magdalena SzymkowiakEmail author
Chapter
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 196)

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.

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Institute of Automation and RoboticsPoznań University of TechnologyPoznańPoland

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