Counterexample

Is this true?

The MLE is unique

No — it is false.

The counterexample

The object that kills this claim comes with Trap Analysis.

86 counterexamples are free — including most of the ones Part C leans on hardest.

Keep practicing

Boundary and endpoint

The statement turns at the edge of the interval, the domain, or the parameter range.

See real exam options built on this mistake Drill statements like this

Go deeper· Explained in full in Maximum likelihood and the method of moments· Asked in CSIR NET December 2025· From Estimation › MLE and method of moments

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