# Life behavior of $$\delta$$ δ -shock models for uniformly distributed interarrival times

## Author

Listed:
• Serkan Eryilmaz

()

• Konul Bayramoglu

()

## Abstract

In this paper we study the life behavior of $$\delta$$ δ -shock models when the shocks occur according to a renewal process whose interarrival distribution is uniform. In particular, we obtain the first two moments of the corresponding lifetime random variables for general interarrival distribution, and survival functions when the interarrival distribution is uniform. Copyright Springer-Verlag Berlin Heidelberg 2014

## Suggested Citation

• Serkan Eryilmaz & Konul Bayramoglu, 2014. "Life behavior of $$\delta$$ δ -shock models for uniformly distributed interarrival times," Statistical Papers, Springer, vol. 55(3), pages 841-852, August.
• Handle: RePEc:spr:stpapr:v:55:y:2014:i:3:p:841-852
DOI: 10.1007/s00362-013-0530-1
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File URL: http://hdl.handle.net/10.1007/s00362-013-0530-1

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## References listed on IDEAS

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1. S. Sadooghi-Alvandi & A. Nematollahi & R. Habibi, 2009. "On the distribution of the sum of independent uniform random variables," Statistical Papers, Springer, vol. 50(1), pages 171-175, January.
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## Citations

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Cited by:

1. Yi Jiang, 2020. "A new Î´-shock model for systems subject to multiple failure types and its optimal order-replacement policy," Journal of Risk and Reliability, , vol. 234(1), pages 138-150, February.

### Keywords

$$delta$$ δ -Shock model; Interarrival distribution; Survival function; Uniform distribution;

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