Asymptotic behaviour of empirical multiinformation

Milan Studený

Kybernetika (1987)

  • Volume: 23, Issue: 2, page 124-135
  • ISSN: 0023-5954

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Studený, Milan. "Asymptotic behaviour of empirical multiinformation." Kybernetika 23.2 (1987): 124-135. <http://eudml.org/doc/28025>.

@article{Studený1987,
author = {Studený, Milan},
journal = {Kybernetika},
keywords = {normalized empirical probability; asymptotic normality; joint empirical distribution; non-degenerated finite-valued random variables; asymptotic behaviour; estimator of multiinformation},
language = {eng},
number = {2},
pages = {124-135},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Asymptotic behaviour of empirical multiinformation},
url = {http://eudml.org/doc/28025},
volume = {23},
year = {1987},
}

TY - JOUR
AU - Studený, Milan
TI - Asymptotic behaviour of empirical multiinformation
JO - Kybernetika
PY - 1987
PB - Institute of Information Theory and Automation AS CR
VL - 23
IS - 2
SP - 124
EP - 135
LA - eng
KW - normalized empirical probability; asymptotic normality; joint empirical distribution; non-degenerated finite-valued random variables; asymptotic behaviour; estimator of multiinformation
UR - http://eudml.org/doc/28025
ER -

References

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  1. P. Billingsley, Convergence of Probability Measures, Wiley, New York 1968. (1968) Zbl0172.21201MR0233396
  2. W. Feller, An Introduction to Probability Theory and Its Applications, Wiley, New York 1966. (1966) Zbl0138.10207MR0210154
  3. R. G. Galager, Information Tneory and Relaible Communication, Wiley, New York 1968. (1968) 
  4. J. Gurland, Distribution of definite and of indefinite quadratic forms, Ann. Math. Statist. 26 (1955), 123-127. (1955) Zbl0064.12902MR0067417
  5. Z. K. Lomicki, S. Z. Zaremba, The asymptotic distributions of estimators of the amount of transmitted information, Inform, and Control 2 (1959), 3, 260-284. (1959) MR0109758
  6. A. Perez, ε -admissible simplifications of the dependence structure of a set of random variables, Kybemetika 13 (1977), 6, 439-449. (1977) Zbl0382.62003MR0472224
  7. A. C. Rao, Linear Statistical Inference and Its Applications, Wiley, New York 1973. (1973) Zbl0256.62002MR0346957
  8. J. Zvárová, The asymptotic distribution of sample information measure of dependence (in Czech), Kybemetika 5 (1969), 1, 50-59. (1969) MR0242570

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