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A note on two IFR systems

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  • Zvi Schechner

Abstract

We present probabilistic proofs for the following two facts: (i) A k out of n system of i.i.d (independent identically distributed). IFR (increasing failure rate) components has an IFR life distribution. (ii) A compound Poisson process with nonnegative i.i.d jumps with PF2 distribution is IFR.

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  • Zvi Schechner, 1981. "A note on two IFR systems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 28(4), pages 685-692, December.
    • Handle: RePEc:wly:navlog:v:28:y:1981:i:4:p:685-692
    DOI: 10.1002/nav.3800280416
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