Find the survival distribution (P) associated with the hazard measure [ theta(d t)=left{begin{array}{cc} d t /(1-t) &

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Find the survival distribution \(P\) associated with the hazard measure

\[
\theta(d t)=\left\{\begin{array}{cc}
d t /(1-t) & 0d t / t & t \geq 1
\end{array}ight.
\]

Hence find a second hazard measure that has the same survival distribution.

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