@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/}
}
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