Abstract
In this papel we discuss the classical Bertrand paradox recalling the five known planar probabilistic models and introducing a new continuous family of planar probabilistic models, depending on a parameterx∈]1, +∞[. We also show that two of the classical models can be obtained as the limit, in law, from the new ones, whenx tends to 1 and +∞, respectively.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
[S] Santaló L.A.,Integral Geometry and Geometric probability, Addison-Wesley, Reading, 1976.
[So] Solomon H.,Geometric Probability, SIAM, Philadelphia, 1985.
[WW] Weil W., Wieacker J.,Stochastic Geometry;in:Handbook of Convex Geometry, (P.M. Gruber and J.M. Wills, eds.), North Holland, Amsterdam, London, New York, Tokyo, 1993, pp. 1391–1438.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Soranzo, A., Volčič, A. On the Bertrand paradox. Rend. Circ. Mat. Palermo 47, 503–509 (1998). https://doi.org/10.1007/BF02851396
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02851396