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Thread: Failure Rate Function-Stats

  1. January 28th 2008, 12:46 PM #1
    shilz222
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    Failure Rate Function-Stats

    How do we prove that the failure rate function r(t) = \frac{f(t)}{1-F(t)} uniquely determines the distribution F ? I wrote r(t) = \frac{\frac{d}{dt} F(t)}{1-f(t)} .
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  2. January 28th 2008, 01:52 PM #2
    TKHunny
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    ?? Why did the denominator change?

    Can't you just solve for F?

    Consider R(t) = ln(1-F(t)) with r(t) = R'(t).
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  3. January 28th 2008, 08:33 PM #3
    shilz222
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    typo
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