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An inequality for rational functions with applications to some statistical estimation problems
Abstract
The well-known Baum-Eagon inequality (1967) provides an effective iterative scheme for finding a local maximum for homogeneous polynomials with positive coefficients over a domain of probability values. However, in many applications the goal is to maximize a general rational function. In view of this, the Baum-Eagon inequality is extended to rational functions. Some of the applications of this inequality to statistical estimation problems are briefly described.>
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Cites
Maximum mutual information estimation of hidden Markov model parameters for speech recognition
Bahl, L., Brown, P., de Souza, P., & Mercer, R. (2005) · ICASSP '86. IEEE International Conference on Acoustics, Speech, and Signal Processing · doi:10.1109/icassp.1986.1169179 · Cited by 817
Cited by
Minimum Phone Error and I-smoothing for improved discriminative training
Povey, D., & Woodland, P. C. (2002) · IEEE International Conference on Acoustics Speech and Signal Processing · doi:10.1109/icassp.2002.5743665 · Cited by 622
Large scale discriminative training of hidden Markov models for speech recognition
Woodland, P. C., & Povey, D. (2002) · Computer Speech & Language · doi:10.1006/csla.2001.0182 · Cited by 306
Hidden conditional random fields for phone classification
Gunawardana, A., Mahajan, M., Acero, A., & Platt, J. C. (2005) · Interspeech 2005 · doi:10.21437/interspeech.2005-126 · Cited by 299
Metadata
- Authors
- Gopalakrishnan, P. S., Kanevsky, D., Nadas, A., & Nahamoo, D.
- Venue
- IEEE Transactions on Information Theory
- Published
- 1991
- Volume
- 37
- Issue
- 1
- Pages
- 107-113
- ISSN
- 0018-9448 (ISSN-L)
- OpenAlex
- W2098601596
- Cited by
- 197
- References
- 1
- FWCI
- 5.20
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: An inequality for rational functions with applications to some statistical estimation problems. https://app.cochat.ai/papers/10.1109/18.61108
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- Gopalakrishnan, P. S., Kanevsky, D., Nadas, A., & Nahamoo, D. (1991). An inequality for rational functions with applications to some statistical estimation problems. IEEE Transactions on Information Theory. https://doi.org/10.1109/18.61108
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