What are the possible shapes of an ROC curve? Is it necessary for an ROC curve to be shaped like a normal distribution curve?
Can we regard the following two curves as ROC with the area under the curve equal to 0.925 and 0.950, respectively?
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Valid ROC curves must be monotonically increasing, start at $(0,0)$ and arrive at $(1,1)$, that's about it. Both shown curves are valid.