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Baum, Petrie, Soules and Weiss: likelihood maximization for probabilistic functions of Markov chains

Established an iterative transformation and inequality for maximizing likelihoods in a broad class of probabilistic functions of Markov chains, forming the core of the Baum–Welch estimation procedure.

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Established an iterative transformation and inequality for maximizing likelihoods in a broad class of probabilistic functions of Markov chains, forming the core of the Baum–Welch estimation procedure.

Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.

Scientific scope

The record is the exact 1970 Annals of Mathematical Statistics paper. Earlier Baum–Petrie hidden-Markov results, later speech-recognition applications, EM generalizations and software implementations remain separate.

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People and systems

Leonard E. Baum; Ted Petrie; George Soules; Norman Weiss

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

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Documented countries / regions: United States

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English catalogue narrative

Baum, Petrie, Soules and Weiss: likelihood maximization for probabilistic functions of Markov chains

Established an iterative transformation and inequality for maximizing likelihoods in a broad class of probabilistic functions of Markov chains, forming the core of the Baum–Welch estimation procedure.

Scientific scope

The record is the exact 1970 Annals of Mathematical Statistics paper. Earlier Baum–Petrie hidden-Markov results, later speech-recognition applications, EM generalizations and software implementations remain separate.

Reading status

This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.

People and systems

Leonard E. Baum; Ted Petrie; George Soules; Norman Weiss

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

Original sources