Life behavior of censored δ-shock model

Ming Ma () and Zehui Li ()
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Ming Ma: Northwest University for Nationalities
Zehui Li: Lanzhou University

Indian Journal of Pure and Applied Mathematics, 2010, vol. 41, issue 2, 401-420

Abstract: 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.

Keywords: Censored δ-shock model; Lifetime distribution; NBU; Limit theorem; CLV (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s13226-010-0024-y

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