A summary on entropy statistics

María Dolores Esteban; Domingo Morales

Kybernetika (1995)

  • Volume: 31, Issue: 4, page 337-346
  • ISSN: 0023-5954

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Esteban, María Dolores, and Morales, Domingo. "A summary on entropy statistics." Kybernetika 31.4 (1995): 337-346. <http://eudml.org/doc/27834>.

@article{Esteban1995,
author = {Esteban, María Dolores, Morales, Domingo},
journal = {Kybernetika},
keywords = {entropy estimates; entropy measures; relative frequencies; asymptotic variance; entropy statistics},
language = {eng},
number = {4},
pages = {337-346},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A summary on entropy statistics},
url = {http://eudml.org/doc/27834},
volume = {31},
year = {1995},
}

TY - JOUR
AU - Esteban, María Dolores
AU - Morales, Domingo
TI - A summary on entropy statistics
JO - Kybernetika
PY - 1995
PB - Institute of Information Theory and Automation AS CR
VL - 31
IS - 4
SP - 337
EP - 346
LA - eng
KW - entropy estimates; entropy measures; relative frequencies; asymptotic variance; entropy statistics
UR - http://eudml.org/doc/27834
ER -

References

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  1. J. Aczel, Z. Daroczy, Characterisierung der entropien positiver ordnung und der Shannonschen entropie, Acta Math. Acad. Sci. Hunger. 14 (1963), 95-121. (1963) MR0191738
  2. S. Arimoto, Information-theoretical considerations on estimation problems, Inform. and Control 19(1971), 181-194. (1971) Zbl0222.94022MR0309224
  3. M. Belis, S. Guiasu, A quantitative-qualitative measure of information in cybernetics systems, IEEE Trans. Inform. Theory IT-4 (1968), 593-594. (1968) 
  4. J. Feistauerova, I. Vajda, Testing system entropy and prediction error probability, IEEE Trans. Systems Man Cybernet. 23 (1993), 1352-1358. (1993) 
  5. C. Ferreri, Hypoentropy and related heterogeneity divergence measures, Statistica 40 (1980), 55-118. (1980) MR0586545
  6. P. Gil, Medidas de incertidumbre e informacion en problemas de decision estadistica, Rev. Real Acad. Cienc. Exact. Fis. Natur. Madrid LXIX (1975), 549-610. (1975) MR0394956
  7. J. Havrda, F. Charvát, Concept of structural α -entropy, Kybernetika 3 (1967), 30-35. (1967) MR0209067
  8. J. N. Kapur, Generalized entropy of order a and type β , The Math. Seminar 4 (1967), 78-82. (1967) MR0269428
  9. H. B. Mann, A. Wald, On the choice of the number of class intervals in the application of the chi-squared test, Ann. Math. Statist. 13 (1942), 306-317. (1942) MR0007224
  10. C. F. Picard, The use of Information theory in the study of the diversity of biological populations, In: Proc. Fifth Berk. Symp. IV, 1979, pp. 163-177. (1979) 
  11. C. R. Rao, Linear Statistical Inference and its Applications, Second edition. J. Wiley, New York 1973. (1973) Zbl0256.62002MR0346957
  12. A. Renyi, On the measures of entropy and information, In: Proc. 4th Berkeley Symp. Math. Statist, and Prob., 1, 1961, pp. 547-561. (1961) MR0132570
  13. A. P. Sant'anna, I. J. Taneja, Trigonometric entropies, ensen difference divergences and error bounds, Inform. Sci. 35 (1985), 145-156. (1985) MR0794765
  14. C. E. Shannon, A mathematical theory of communication, Bell. System Tech. J. 21 (1948), 379-423. (1948) Zbl1154.94303MR0026286
  15. B. D. Sharma, D. P. Mittal, New non-additive measures of relative information, J. Combin. Inform. System Sci. 2 (1975), 122-133. (1975) MR0476167
  16. B. D. Sharma, I. J. Taneja, Entropy of type ( α , β ) and other generalized measures in information theory, Metrika 22 (1975), 205-215. (1975) Zbl0328.94012MR0398670
  17. B. D. Sharma, I. J. Taneja, Three generalized additive measures of entropy, Elektron. Informationsverarb. Kybernet. 13 (1977), 419-433. (1977) Zbl0372.94021MR0530208
  18. I. J. Taneja, A Study of Generalized Measures in Information Theory, Ph.D. Thesis, University of Delhi 1975. (1975) 
  19. R. S. Varma, Generalizations of Renyi’s entropy of order α , J. Math. Sci. 1 (1966), 34-48. (1966) Zbl0166.15401MR0210515

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