A note on a multivariate version of Rolle's theorem and uniqueness of maximum likelihood roots

John Van Ryzin, Kamta Rai

Published 1980

This Note gives a multivariate version of Rolle's theorem and shows its usefulness in establishing the uniqueness of the root of the maximum likelihood equations, the so-called maximum likelihood equation estimator. The technique is used to prove uniqueness in two situations from the literature where the original proof of uniqueness was in error.

Document Details

  • Copyright: RAND Corporation
  • Availability: Web Only
  • Year: 1980
  • Pages: 12
  • Document Number: N-1513-NIEHS

Citation

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Van Ryzin, John and Kamta Rai, A note on a multivariate version of Rolle's theorem and uniqueness of maximum likelihood roots. Santa Monica, CA: RAND Corporation, 1980. https://www.rand.org/pubs/notes/N1513.html.
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