On some properties of the mean inactivity time function

Different aspects of mean inactivity time (MIT) function such as properties, bounds and limiting behaviour are studied. We proceed to prove an important characterization theorem and also explore weak convergence issues. Finally, connections between MIT and reversed hazard rate functions are examined...

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Bibliographic Details
Published in:Statistics & probability letters 2021-03, Vol.170, p.108993, Article 108993
Main Authors: Khan, Ruhul Ali, Bhattacharyya, Dhrubasish, Mitra, Murari
Format: Article
Language:English
Subjects:
Life distribution
Mean inactivity time
Reversed hazard rate
Weak convergence
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Summary:Different aspects of mean inactivity time (MIT) function such as properties, bounds and limiting behaviour are studied. We proceed to prove an important characterization theorem and also explore weak convergence issues. Finally, connections between MIT and reversed hazard rate functions are examined.
ISSN:0167-7152
1879-2103
DOI:10.1016/j.spl.2020.108993