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Math Help - Failure Rate Function-Stats

  1. #1
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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. #2
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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. #3
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    typo
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