Radiophysics and Quantum Electronics

, Volume 15, Issue 3, pp 341–347 | Cite as

The equivalence condition for two important adaptation algorithms and its relation to efficient estimates of probability distribution parameters

  • B. A. Grishanin
Article
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Abstract

A comparison is made between the convergence rates of two important algorithms in adaptation theory; one of them minimizes the empirical risk, while the other minimizes the Bayes a posteriori risk and is calculated according to the stipulated system of probability distributions which depend on a set of unknown parameters. The class of distributions is established for which the convergence rates of the indicated algorithms coincide. The relation between the conditions governing the indicated coincidence and the conditions governing the existence of efficient estimates of the unknown probability distribution parameters is investigated.

Keywords

Probability Distribution Convergence Rate Unknown Parameter Equivalence Condition Quantum Electronics 

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Copyright information

© Consultants Bureau 1974

Authors and Affiliations

  • B. A. Grishanin
    • 1
  1. 1.Moscow State UniversityUSSR

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