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 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 definition of IFR...

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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

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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: 9780123756862

10th Edition

Authors: Sheldon M Ross

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Question Posted: Sep 19, 2024 02:23 PM

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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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AF(t) = x(t)

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Introduction To Probability Models

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