Angular processes related to Cauchy random walks
Teoriâ veroâtnostej i ee primeneniâ, Tome 55 (2010) no. 3, pp. 489-506 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{TVP_2010_55_3_a4,
     author = {V. Cammarota and E. Orsingher},
     title = {Angular processes related to {Cauchy} random walks},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {489--506},
     year = {2010},
     volume = {55},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TVP_2010_55_3_a4/}
}
TY  - JOUR
AU  - V. Cammarota
AU  - E. Orsingher
TI  - Angular processes related to Cauchy random walks
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 2010
SP  - 489
EP  - 506
VL  - 55
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TVP_2010_55_3_a4/
LA  - en
ID  - TVP_2010_55_3_a4
ER  - 
%0 Journal Article
%A V. Cammarota
%A E. Orsingher
%T Angular processes related to Cauchy random walks
%J Teoriâ veroâtnostej i ee primeneniâ
%D 2010
%P 489-506
%V 55
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_2010_55_3_a4/
%G en
%F TVP_2010_55_3_a4
V. Cammarota; E. Orsingher. Angular processes related to Cauchy random walks. Teoriâ veroâtnostej i ee primeneniâ, Tome 55 (2010) no. 3, pp. 489-506. http://geodesic.mathdoc.fr/item/TVP_2010_55_3_a4/

[1] Asci C., Letac G., Piccioni M., “Beta-hypergeometric distributions and random continued fractions”, Statist. Probab. Lett., 78:13 (2008), 1711–1721 | DOI | MR | Zbl

[2] Cammarota V., Orsingher E., “Travelling randomly on the Poincaré half-plane with a Pythagorean compass”, J. Statist. Phys., 130:3 (2008), 455–482 | DOI | MR | Zbl

[3] Cammarota V., Orsingher E., “Cascades of particles moving at finite velocity in hyperbolic spaces”, J. Statist. Phys., 133:6 (2008), 1137–1159 | DOI | MR | Zbl

[4] Chamayou J.-F., Letac G., “Explicit stationary distributions for compositions of random functions and products of random matrices”, J. Theoret. Probab., 4:1 (1991), 3–36 | DOI | MR | Zbl

[5] Faber R. L., Foundations of Euclidean and Non-Euclidean Geometry, Dekker, New York, 1983, 329 pp. | MR

[6] Knight F. B., “A characterization of the Cauchy type”, Proc. Amer. Math. Soc., 55:1 (1976), 130–135 | DOI | MR | Zbl

[7] Letac G., “Which functions preserve Cauchy laws?”, Proc. Amer. Math. Soc., 67:2 (1977), 277–286 | DOI | MR

[8] Pitman E. J. G., Williams E. J., “Cauchy-distributed functions of Cauchy variates”, Ann. Math. Statist., 38 (1967), 916–918 | DOI | MR | Zbl

[9] Chaumont L., Yor M., Exercises in Probability, Cambridge Univ. Press, Cambridge, 2003, 236 pp. | MR | Zbl

[10] Williams E. J., “Cauchy-distributed functions and a characterization of the Cauchy distribution”, Ann. Math. Statist., 40:3 (1969), 1083–1085 | DOI | MR | Zbl