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$\begingroup$ Okay, I agree with your examples but I was specifically referring to cases where I assume some stationary points, at least ^^ $\endgroup$
– MysteryGuy
Commented Jun 30 at 12:31
$\begingroup$ @MysteryGuy, since it is of one sample observation, the likelihood is just the pdf and so it inherits the stationary property of the pdf. $\endgroup$
– User1865345
Commented Jun 30 at 12:38
2

$\begingroup$ I imagine that the authors of your reference had fun writing a book about counterexamples! 🤪 $\endgroup$
– Galen
Commented Jun 30 at 15:42

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