Principles and practice of information theory
Principles and practice of information theory
Search problems
Information Theory: Coding Theorems for Discrete Memoryless Systems
Information Theory: Coding Theorems for Discrete Memoryless Systems
General theory of information transfer: Updated
Discrete Applied Mathematics
IEEE Transactions on Information Theory
Identification via compressed data
IEEE Transactions on Information Theory
Hypothesis testing for arbitrarily varying source with exponential-type constraint
IEEE Transactions on Information Theory
Statistical inference under multiterminal data compression
IEEE Transactions on Information Theory
The method of types [information theory]
IEEE Transactions on Information Theory
Authentication theory and hypothesis testing
IEEE Transactions on Information Theory
Hypothesis testing with the general source
IEEE Transactions on Information Theory
Reliability criteria in information theory and in statistical hypothesis testing
Foundations and Trends in Communications and Information Theory
Multiple objects: error exponents in hypotheses testing and identification
Information Theory, Combinatorics, and Search Theory
Bibliography of publications by Rudolf Ahlswede
Information Theory, Combinatorics, and Search Theory
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We introduce a new aspect of the influence of the information-theoretical methods on the statistical theory. The procedures of the probability distributions identification for K(≥1) random objects each having one from the known set of M(≥2) distributions are studied. N-sequences of discrete independent random variables represent results of N observations for each of K objects. On the base of such samples decisions must be made concerning probability distributions of the objects. For $N \longrightarrow \infty$ the exponential decrease of the test's error probabilities is considered. The reliability matrices of logarithmically asymptotically optimal procedures are investigated for some models and formulations of the identification problems. The optimal subsets of reliabilities which values may be given beforehand and conditions guaranteeing positiveness of all the reliabilities are investigated.