On the differential and residual entropy

Miroslav Katětov

Commentationes Mathematicae Universitatis Carolinae (1988)

  • Volume: 029, Issue: 2, page 319-349
  • ISSN: 0010-2628

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Katětov, Miroslav. "On the differential and residual entropy." Commentationes Mathematicae Universitatis Carolinae 029.2 (1988): 319-349. <http://eudml.org/doc/17641>.

@article{Katětov1988,
author = {Katětov, Miroslav},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {probability measure; differential entropy; regularized residual entropy; regularized Rényi-dimensions; residual entropies; differential entropies},
language = {eng},
number = {2},
pages = {319-349},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the differential and residual entropy},
url = {http://eudml.org/doc/17641},
volume = {029},
year = {1988},
}

TY - JOUR
AU - Katětov, Miroslav
TI - On the differential and residual entropy
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1988
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 029
IS - 2
SP - 319
EP - 349
LA - eng
KW - probability measure; differential entropy; regularized residual entropy; regularized Rényi-dimensions; residual entropies; differential entropies
UR - http://eudml.org/doc/17641
ER -

References

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  1. J. BALATONI A. RÉNYI, On the notion of entropy (Hungarian), Publ. Math. Inst. Hungarian Acad. Sci. 1 (1956), 5-40. - English translation: Selected papers of Alfred Rényi, vol. I, pp. 558-584, Akadémiai Kiadó, Budapest, 1987. (1956) 
  2. M. KATĚTOV, Extended Shannon entropies I, Czechoslovak Math. J. 33 (108) (1983), 564-601. (1983) MR0721088
  3. M. KATĚTOV, Extended Shannon entropies II, Czechoslovak Math. J. 35 (110) (1985), 565-616. (1985) MR0809043
  4. M. KATĚTOV, On extended Shannon entropies and the epsilon entropy, Comment. Math. Univ. Carolinae 27 (1986), 519-543. (1986) MR0873625
  5. M. KATĚTOV, On the Rényi dimension, Comment. Math. Univ. Carolinae 27 (1986), 741-753. (1986) MR0874669
  6. M. KATĚTOV, On dimensions of semimetrized measure spaces, Comment. Math. Univ. Carolinae 28 (1987), 399-411. (1987) MR0912568
  7. E. C. POSNER E. R. RODEMICH H. RUMSEY, Jr., Epsilon entropy of stochastic processes, Ann. Math. Statist. 38 (1967), 1000-1020. (1967) MR0211457
  8. E. C. POSNER E. R. RODEMICH, Differential entropy and tiling, J. Statist. Phys. 1 (1969), 57-69. (1969) MR0250349
  9. A. RÉNYI, On the dimension and entropy of probability distributions, Acta Math. Acad. Sci. Hung. 10 (1959), 193-215. (1959) MR0107575
  10. A. RÉNYI, Dimension, entropy and information, Trans. 2nd Prague Conf. Information Theory, pp. 545-556, Prague, 1960. (1960) MR0129049
  11. C. R. SHANNON, A mathematical theory of communication, Bell System Tech. J. 27 (1948), 379-423, 623-656. (1948) Zbl1154.94303MR0026286

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