On a class of perimeter-type distances of probability distributions

Ferdinand Österreicher

Kybernetika (1996)

  • Volume: 32, Issue: 4, page 389-393
  • ISSN: 0023-5954

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Österreicher, Ferdinand. "On a class of perimeter-type distances of probability distributions." Kybernetika 32.4 (1996): 389-393. <http://eudml.org/doc/27886>.

@article{Österreicher1996,
author = {Österreicher, Ferdinand},
journal = {Kybernetika},
keywords = {hypotheses testing; Hellinger-divergences},
language = {eng},
number = {4},
pages = {389-393},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On a class of perimeter-type distances of probability distributions},
url = {http://eudml.org/doc/27886},
volume = {32},
year = {1996},
}

TY - JOUR
AU - Österreicher, Ferdinand
TI - On a class of perimeter-type distances of probability distributions
JO - Kybernetika
PY - 1996
PB - Institute of Information Theory and Automation AS CR
VL - 32
IS - 4
SP - 389
EP - 393
LA - eng
KW - hypotheses testing; Hellinger-divergences
UR - http://eudml.org/doc/27886
ER -

References

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  1. S. M. Ali, S. D. Silvey, A general class of coefficients of divergence of one distribution from another, J. Roy. Statist. Soc. Ser. B 28 (1966), 131-142. (1966) Zbl0203.19902MR0196777
  2. D. E. Boekee, A generalization of the Fisher information measure, Delft University Press, Delft 1977. (1977) 
  3. I. Csiszár, J. Fischer, Informationsentfernungen im Raum der Wahrscheinlichkeitsverteilungen, Magyar Tud. Akad. Mat. Kutató Int. Kösl. 7 (1962), 159-180. (1962) MR0191734
  4. I. Csiszár, Eine informationstheoretische Ungleichung und ihre Anwendung auf den Beweis der Ergodizität von Markoffschen Ketten, Publ. Math. Inst. Hungar. Acad. Sci. 8 (1963), 85-107. (1963) MR0164374
  5. D. Feldman, F. Österreicher, Divergenzen von Wahrscheinlichkeitsverteilungen -- integralgeometrisch betrachtet, Acta Math. Acad. Sci. Hungar. 37 (1981), 4, 329-337. (1981) MR0619882
  6. P. Kafka F. Österreicher, I. Vincze, On powers of f -divergences defining a distance, Studia Sci. Math. Hungar. 26 (1991), 415-422. (1991) MR1197090
  7. F. Liese, I. Vajda, Convex Statistical Distances, Teubner-Texte zur Mathematik, Band 95, Leipzig 1987. (1987) Zbl0656.62004MR0926905
  8. K. Matusita, Decision rules based on the distance for problems of fit, two samples and estimation, Ann. Math. Stat. 26 (1955), 631-640. (1955) Zbl0065.12101MR0073899
  9. F. Österreicher, The construction of least favourable distributions is traceable to a minimal perimeter problem, Studia Sci. Math. Hungar. 17 (1982), 341-351. (1982) MR0761549
  10. F. Österreicher, The risk set of a testing problem -- A vivid statistical tool, In: Trans. of the Eleventh Prague Conference, Academia, Prague 1992, Vol. A, pp. 175-188. (1992) 
  11. E. Reschenhofer, I. M. Bomze, Length tests for goodness of fit, Biometrika 78 (1991), 207-216. (1991) Zbl0722.62035MR1118246
  12. I. Vajda, F. Österreicher, Statistical information and discrimination, IEEE Trans. Inform. Theory 39 (1993), 3, 1036-1039. (1993) MR1237725
  13. I. Vincze, On the concept and measure of information contained in an observation, In: Contributions to Probability (J. Gani and V. F. Rohatgi, eds.), Academic Press, New York 1981, pp. 207-214. (1981) Zbl0531.62002MR0618690

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