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Life behavior of censored δ-shock model

Author

Listed:
  • Ming Ma

    (Northwest University for Nationalities
    Lanzhou University)

  • Zehui Li

    (Lanzhou University
    Northwest University for Nationalities)

Abstract

The shock models play an important role in reliability theory. In a previous paper by Li et al., the δ-shock model, which is different from the classical shock model, was introduced and studied. In this paper, a censored δ-shock model is presented, which originates from the study of customer relationship management (CRM). Based on the underlying homogeneous Poisson process, we obtain the explicit distribution of system lifetime and other related properties, and demonstrate that this new system is superior to NBU. In addition, an exponential limit theorem is obtained. Finally, the application of this new system to evaluate customer lifetime values (CLV) is provided. These results are important to theory and applications.

Suggested Citation

  • Ming Ma & Zehui Li, 2010. "Life behavior of censored δ-shock model," Indian Journal of Pure and Applied Mathematics, Springer, vol. 41(2), pages 401-420, April.
    • Handle: RePEc:spr:indpam:v:41:y:2010:i:2:d:10.1007_s13226-010-0024-y
    DOI: 10.1007/s13226-010-0024-y
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    Cited by:

    1. Dheeraj Goyal & Nil Kamal Hazra & Maxim Finkelstein, 2022. "On the Time-Dependent Delta-Shock Model Governed by the Generalized PóLya Process," Methodology and Computing in Applied Probability, Springer, vol. 24(3), pages 1627-1650, September.
    2. Stathis Chadjiconstantinidis & Serkan Eryilmaz, 2022. "Reliability Assessment for Censored $${\boldsymbol{\delta}}$$ δ -Shock Models," Methodology and Computing in Applied Probability, Springer, vol. 24(4), pages 3141-3173, December.

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