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Comparing lifetimes of coherent systems with dependent components operating in random environments

  • Nil Kamal Hazra (a1) and Maxim Finkelstein (a2)

Abstract

We study the impact of a random environment on lifetimes of coherent systems with dependent components. There are two combined sources of this dependence. One results from the dependence of the components of the coherent system operating in a deterministic environment and the other is due to dependence of components of the system sharing the same random environment. We provide different sets of sufficient conditions for the corresponding stochastic comparisons and consider various scenarios, namely, (i) two different (as a specific case, identical) coherent systems operate in the same random environment; (ii) two coherent systems operate in two different random environments; (iii) one of the coherent systems operates in a random environment and the other in a deterministic environment. Some examples are given to illustrate the proposed reasoning.

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Corresponding author

*Postal address: Department of Mathematics, Indian Institute of Technology Jodhpur, Karwar 342037, India.
**Postal address: Department of Mathematical Statistics and Actuarial Science, University of the Free State, PO Box 339, Bloemfontein 9300, South Africa.

References

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Comparing lifetimes of coherent systems with dependent components operating in random environments

  • Nil Kamal Hazra (a1) and Maxim Finkelstein (a2)

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