March 1, 1977

On the Unique Consistent Solution to the Likelihood Equations

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Abstract

Abstract Existence of a unique consistent solution to the likelihood equations is obtained as a consequence of the Inverse Function Theorem. The approach differs from those already in the literature by showing existence and uniqueness in one argument. The argument deals directly with the vector parameter case rather than with extending single parameter arguments.

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Robert V. Foutz (Tue,) studied this question.

synapsesocial.com/papers/6a082991ab15ea61dee8b36c https://doi.org/https://doi.org/10.1080/01621459.1977.10479926

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Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1A NOTE ON THE CONSISTENCY AND MAXIMA OF THE ROOTS OF LIKELIHOOD EQUATIONS1954 · 82 citations
2A Note on the Uniqueness of Roots of the Likelihood Equations for Vector-Valued Parameters1975 · 25 citations
3Principles of mathematical analysis1964 · 5,248 citations
4Mathematical Methods of Statistics.1947 · 6,030 citations
5THE LIKELIHOOD EQUATION, CONSISTENCY AND THE MAXIMA OF THE LIKELIHOOD FUNCTION1947 · 97 citations

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