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Proceedings ArticleDOI

The Bayesian distance: A new concept in statistical decision theory

Pierre Devijver
- Vol. 11, Iss: 11, pp 543-544
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This article is published in Conference on Decision and Control.The article was published on 1972-12-01. It has received 5 citations till now. The article focuses on the topics: Admissible decision rule & Bayesian statistics.

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Citations
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Deterministic Approach for Evaluation of Correlation Guidance Signature Quality

TL;DR: A numerical technique is described in which the probability Distribution of Signature Match Locations (DSML) is computed directly in a single computer run for a given reference signature and for given statistical properties of the measurement error.

Social Approaches to Disease Prediction

TL;DR: The proposed disease prediction system is based on similar patterns of disease comorbidity in population and the individual to evaluate the risk of a disease and has been shown to be a competent method in accurately identifying potential diseases in patients with multiple diseases, just based on their disease records.
Journal ArticleDOI

On an Approximation of Mutual Information

TL;DR: An approximation of mutual information which is often used for feature evaluation in pattern recognition is shown to be more closely related to Bayes error probability than mutual information is when equal a priori probabilities are assumed.
References
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Journal ArticleDOI

A simple derivation of the coding theorem and some applications

TL;DR: Both amplitude-discrete and amplitude-continuous channels are treated, both with and without input constraints, and the exponential behavior of the bounds with block length is the best known for all transmission rates between 0 and capacity.
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Information-theoretical considerations on estimation problems

TL;DR: A new definition of generalized information measures is introduced so as to investigate the finite-parameter estimation problem and yields a class of generalized entropy functions which are useful for treating the error-probability of decision and the other equivocation measures in the same framework.
Journal ArticleDOI

Signal selection in communication and radar systems

TL;DR: A criterion for selecting a finite set of transmitter signals for a continuous communication channel is proposed and the "optimum" signal sets are selected to maximize the minimum divergence between hypothesis pairs being tested at the receiver.
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Theoretical Comparison of a Class of Feature Selection Criteria in Pattern Recognition

TL;DR: The distance measures and the information functions for feature selection are compared and the effectiveness of a feature subset and the computational complexity is compared.
Journal ArticleDOI

State space evaluation of the Bhattacharyya distance between two Gaussian processes.

TL;DR: One measure of the distance between two Gaussian processes is the Bhattacharyya distance, expressed in terms of a matrix Riccati differential equation, which is well suited to numerical evaluation for nonstationary processes and also enables the design of optimal modulations (signals) using control theoretic concepts.