1997
DOI: 10.1214/ss/1030037906
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R.A. Fisher and the making of maximum likelihood 1912-1922

Abstract: In 1922 R. A. Fisher introduced the method of maximum likelihood. He first presented the numerical procedure in 1912. This paper considers Fisher's changing justifications for the method, the Ž concepts he developed around it including likelihood, sufficiency, effi-. Ž ciency and information and the approaches he discarded including . inverse probability .

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Cited by 487 publications
(255 citation statements)
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“…Where the variance is given as: (17) and, ω, φ and β are model parameters whose estimation can be by maximizing the sum of the function Maximum Likelihood Estimation (MLE) which is given by the expression similar to that of Aldrich (1997): (18) Where is the residual value of the return; is the residual value squared and is the unconditional variance in period t.…”
Section: The Garch Volatility Modelmentioning
confidence: 99%
“…Where the variance is given as: (17) and, ω, φ and β are model parameters whose estimation can be by maximizing the sum of the function Maximum Likelihood Estimation (MLE) which is given by the expression similar to that of Aldrich (1997): (18) Where is the residual value of the return; is the residual value squared and is the unconditional variance in period t.…”
Section: The Garch Volatility Modelmentioning
confidence: 99%
“…A BC sequence-based decision over the HMM can be made in a statistically optimum fashion -in the maximum likelihood sense [37] -by employing the Viterbi algorithm (VA) [38]. As outlined in the preceding sections, this algorithm seeks to identify the path through the trellis over N time steps whose path metric Γ (i.e.…”
Section: Viterbi Detectionmentioning
confidence: 99%
“…W l , W r , W h , a l , a r , and b) can be fitted, in theory, by using Maximum Likelihood [19]. Due to the difficulty of computing the derivative of the log-likelihood gradients, Hinton proposed an approximation method called Contrastive Divergence (CD) [20].…”
Section: Learning and Update Rulesmentioning
confidence: 99%