On the uniqueness of the maximum likelihood estimator

Chris D. Orme; Paul A. Ruud

doi:10.1016/S0165-1765(01)00600-0

On the uniqueness of the maximum likelihood estimator

Chris D. Orme, Paul A. Ruud

Economics

University of California, Berkeley

Research output: Contribution to journal › Article › peer-review

Abstract

Orme [Econ. Rev. 8 (1989) 217] attempted to demonstrate that any solution to the likelihood equations for the truncated normal regression will be unique and will also be the global maximiser of the log-likelihood function. The argument rested on showing local concavity at any stationary point. Although sufficient in the scalar parameter case, this condition does not guarantee uniqueness of an interior local maximum in the multi-dimensional case. The present note addresses this issue. © 2002 Elsevier Science B.V. All rights reserved.

Original language	English
Pages (from-to)	209-217
Number of pages	8
Journal	Economics Letters
Volume	75
Issue number	2
DOIs	https://doi.org/10.1016/S0165-1765(01)00600-0
Publication status	Published - Apr 2002

Keywords

Maximum likelihood estimator
Uniqueness

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10.1016/S0165-1765(01)00600-0

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abstract = "Orme [Econ. Rev. 8 (1989) 217] attempted to demonstrate that any solution to the likelihood equations for the truncated normal regression will be unique and will also be the global maximiser of the log-likelihood function. The argument rested on showing local concavity at any stationary point. Although sufficient in the scalar parameter case, this condition does not guarantee uniqueness of an interior local maximum in the multi-dimensional case. The present note addresses this issue. {\textcopyright} 2002 Elsevier Science B.V. All rights reserved.",

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AB - Orme [Econ. Rev. 8 (1989) 217] attempted to demonstrate that any solution to the likelihood equations for the truncated normal regression will be unique and will also be the global maximiser of the log-likelihood function. The argument rested on showing local concavity at any stationary point. Although sufficient in the scalar parameter case, this condition does not guarantee uniqueness of an interior local maximum in the multi-dimensional case. The present note addresses this issue. © 2002 Elsevier Science B.V. All rights reserved.

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KW - Uniqueness

U2 - 10.1016/S0165-1765(01)00600-0

DO - 10.1016/S0165-1765(01)00600-0

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JO - Economics Letters

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On the uniqueness of the maximum likelihood estimator

Abstract

Keywords

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