A Note on the Uniqueness of Roots of the Likelihood Equations for Vector-Valued Parameters
向量参数似然方程根唯一性的一个注记
Two examples are given from the literature in which results concerning functions of a single variable are applied incorrectly to multivariate functions. One of the examples concerns the proof of a basic theorem in the theory of maximum likelihood estimation of vector-valued parameters. An alternate statement and proof of the theorem are given.