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Journal ArticleDOI

A class of lower bounds on the Bayesian probability of error

D.E. Boekee, +1 more
- 01 Oct 1981 - 
- Vol. 25, Iss: 1, pp 21-35
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TLDR
A class of lower bounds is considered which unifies and extends some well-known bounds on the Bayesian probability of error by considering the ƒ-divergence between two hypotheses.
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This article is published in Information Sciences.The article was published on 1981-10-01. It has received 13 citations till now. The article focuses on the topics: Probability box & Empirical probability.

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Citations
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Journal ArticleDOI

Distance measures for signal processing and pattern recognition

TL;DR: Some classical results about error bounds in classification and feature selection for pattern recognition are recalled, which are obtained with the aid of properties of distance measures.
Journal ArticleDOI

Fine quantization in signal detection and estimation

TL;DR: Several applications of this result in specific problems of signal detection and estimation being developed are developed, and some numerical results that illustrate the asymptotic behavior of the divergence in these applications are given.
Journal ArticleDOI

Numerical taxonomy and the principle of maximum entropy

TL;DR: The standard procedure in numerical classification and identification of micro-organisms based on binary features is given a justification based on the principle of maximum entropy and the assumption that all characteristics upon which the classification is based are equally important and the use of polythetic taxa is supported.
Proceedings ArticleDOI

A companding approximation for the statistical divergence of quantized data

TL;DR: This paper uses companding approximations to derive asymptotic criteria for the evaluation of quantizer performance and the design of optimum quantizers based on statistical measures of divergence at the output of the quantizer.
Journal ArticleDOI

Mutual and conditional mutual informations for optimizing distributed Bayes detectors

TL;DR: A new optimization technique is proposed for distributed Bayes detectors that uses the distributional distances instead of the original Bayes criterion to avoid the complexity barrier of the optimization problem.
References
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Journal ArticleDOI

The Divergence and Bhattacharyya Distance Measures in Signal Selection

TL;DR: This partly tutorial paper compares the properties of an often used measure, the divergence, with a new measure that is often easier to evaluate, called the Bhattacharyya distance, which gives results that are at least as good and often better than those given by the divergence.
Journal ArticleDOI

Patterns in pattern recognition: 1968-1974

TL;DR: This paper selectively surveys contributions to major topics in pattern recognition since 1968, including contributions to error estimation and the experimental design of pattern classifiers.
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