23 Show that if each (independent) component of a series system has an IFR distribution, then the system lifetime is itself IFR by (a) showing that F (t) i i(t) where F (t) is the failure rate function of the system and i(t) the failure rate function of the lifetime of component i (b) using the def...

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23. Show that if each (independent) component of a series system has an IFR distribution, then the...

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23. Show that if each (independent) component of a series system has an IFR distribution, then the system lifetime is itself IFR by

(a) showing that

λF (t) =

λi(t)

where λF (t) is the failure rate function of the system; and λi(t) the failure rate function of the lifetime of component i.

(b) using the definition of IFR given in Exercise 22.

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Introduction To Probability Models

ISBN: 9780080467825

9th Edition

Authors: Sheldon M Ross

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Question Posted: Sep 14, 2024 08:00 AM

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23. Show that if each (independent) component of a series system has an IFR distribution, then the...

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Introduction To Probability Models

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