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On ageing intensity function of some Weibull models

Author

Listed:
  • Rajib Lochan Giri
  • Asok K. Nanda
  • Mahua Dasgupta
  • Satya Kr. Misra
  • Subarna Bhattacharjee

Abstract

There are many measures for qualitative and quantitative analysis of ageing phenomena of a system with a well defined statistical distribution, namely, hazard rate, ageing intensity (AI) function etc. The extensive usage of Weibull distributions in various fields has prompted us to explore the ageing property of these models. The present work derives the AI function of recent continuous Weibull distributions. In the process, we obtain generalizations of a few recent Weibull models. As noted, the characteristics of a distribution described by hazard rate and ageing intensity function differ altogether in many cases. Some of the results presented in this work have been analyzed through a simulation study using R software.

Suggested Citation

  • Rajib Lochan Giri & Asok K. Nanda & Mahua Dasgupta & Satya Kr. Misra & Subarna Bhattacharjee, 2023. "On ageing intensity function of some Weibull models," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 52(1), pages 227-262, January.
    • Handle: RePEc:taf:lstaxx:v:52:y:2023:i:1:p:227-262
    DOI: 10.1080/03610926.2021.1910845
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