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Further results on residual life and inactivity time at random time

Author

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  • Arijit Patra
  • Chanchal Kundu

Abstract

Stochastic comparisons of residual life (inactivity time) of a random variable X at random time Y (RLRT/ITRT) with respect to likelihood ratio, (reversed) hazard rate, mean residual life and variance residual life orders have been investigated in the literature. In the present note, we provide some more stochastic ordering results for RLRT and ITRT based on reversed hazard rate, mean inactivity time and variance inactivity time orders. We also study various properties of ITRT based on DRHR, IMIT and IVIT classes of life distributions.

Suggested Citation

  • Arijit Patra & Chanchal Kundu, 2020. "Further results on residual life and inactivity time at random time," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(5), pages 1261-1271, March.
    • Handle: RePEc:taf:lstaxx:v:49:y:2020:i:5:p:1261-1271
    DOI: 10.1080/03610926.2018.1563170
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    Cited by:

    1. Mohamed Kayid & Mansour Shrahili, 2023. "Characterization Results on Lifetime Distributions by Scaled Reliability Measures Using Completeness Property in Functional Analysis," Mathematics, MDPI, vol. 11(6), pages 1-15, March.
    2. Mansour Shrahili & Mohamed Kayid, 2022. "Characterizations of the Exponential Distribution by Some Random Hazard Rate Sequences," Mathematics, MDPI, vol. 10(17), pages 1-11, August.
    3. Khan, Ruhul Ali & Bhattacharyya, Dhrubasish & Mitra, Murari, 2021. "On some properties of the mean inactivity time function," Statistics & Probability Letters, Elsevier, vol. 170(C).

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