Lois de von Mises et lois liées

Serge Degerine

Annales de l'I.H.P. Probabilités et statistiques (1979)

  • Volume: 15, Issue: 1, page 63-77
  • ISSN: 0246-0203

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Degerine, Serge. "Lois de von Mises et lois liées." Annales de l'I.H.P. Probabilités et statistiques 15.1 (1979): 63-77. <http://eudml.org/doc/77112>.

@article{Degerine1979,
author = {Degerine, Serge},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Exponential Families; Von Mises Distribution; Characteristic Function; Canonical Exponential Distribution; Spherical Distributions},
language = {fre},
number = {1},
pages = {63-77},
publisher = {Gauthier-Villars},
title = {Lois de von Mises et lois liées},
url = {http://eudml.org/doc/77112},
volume = {15},
year = {1979},
}

TY - JOUR
AU - Degerine, Serge
TI - Lois de von Mises et lois liées
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1979
PB - Gauthier-Villars
VL - 15
IS - 1
SP - 63
EP - 77
LA - fre
KW - Exponential Families; Von Mises Distribution; Characteristic Function; Canonical Exponential Distribution; Spherical Distributions
UR - http://eudml.org/doc/77112
ER -

References

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  1. [1] K.J. Arnold, On spherical probability distributions, Dissertation, Massachusetts Institute of Technology, 1941. 
  2. [2] J.R. Barra, Notions fondamentales de statistique mathématique, Dunod, éditeur, Paris, 1971. Zbl0257.62004MR402992
  3. [3] T.D. Downs, Some relationships among the von Mises distribution of different dimensions, Biometrika, t. 54, 1966, p. 262-272. Zbl0156.40503MR198513
  4. [4] R.A. Fisher, Dispersion on a sphere, Proc. Roy. Soc. London, A217,1953, p. 295-305. Zbl0051.37105MR56866
  5. [5] D. Kelker, Distribution theory of spherical distributions and a location-scale parameter generalization. Sankhyä, The Indian Journal of Statistics, A, 1969, p. 419-430. Zbl0223.60008MR287628
  6. [6] J.C. Kluyver, A local probability theorem, Ned. Akad. Wet. Proc., A8, 1906, p. 341-350. 
  7. [7] R.D. Lord, The use of the Hankel transform in statistics. I. General theory and examples, Biometrika, t. 41, 1954, p. 44-55. Zbl0055.12202MR61791
  8. [8] Lord Rayleigh, On the problem of random vibrations, and of random flights in one, two or three dimensions, Phil. Mag., (6), t. 37, 1919, p. 321-347. Zbl46.1203.03JFM47.0485.02
  9. [9] K. Pearson, A mathematical theory of random migration, Draper's company research memoirs, Biometric Series, t. III, 1906, p. 15. 
  10. [10] M.A. Stephens, The statistics of directions: the von Mises and Fisher distributions, Ph. D. Thesis, University of Toronto, 1962. 
  11. [11] H.R. Van Der Vaart, Determining the absolutely continuous component of a probability distribution from its Fourier-Stieltjes transform, Arkiv för Mathematik, Band 7, Nr. 24, 1967, p. 331-342. Zbl0185.47202MR235386
  12. [12] R. von Mises, Ueber die «Ganzzahligkeit» der Atomgewicht und verwandte Fragen, Physikal. Z., t. 19, 1918, p. 490-500. Zbl46.1493.01JFM46.1493.01
  13. [13] G.N. Watson, A treatise on the theory of Bessel functions, Cambridge University Press (2nd ed.), 1944. Zbl0063.08184MR10746

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