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http://dx.doi.org/10.4134/BKMS.b200345

RANDOM CHORD IN A CIRCLE AND BERTRAND'S PARADOX: NEW GENERATION METHOD, EXTREME BEHAVIOUR AND LENGTH MOMENTS  

Vidovic, Zoran (Teacher Education Faculty University of Belgrade)
Publication Information
Bulletin of the Korean Mathematical Society / v.58, no.2, 2021 , pp. 433-444 More about this Journal
Abstract
In this paper a new generating procedure of a random chord is presented. This problem has its roots in the Bertrand's paradox. A study of the limit behaviour of its maximum length and the rate of convergence is conducted. In addition, moments of record values of random chord length are obtained for this case, as well as other cases of solutions of Bertrand's paradox.
Keywords
Bertrand's paradox; new solution; records; rate of convergence;
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