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

被引：3

作者：

Vidovic, Zoran ^{[1
]}

机构：

[1] Univ Belgrade, Teacher Educ Fac, Belgrade 11000, Serbia

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2021年 / 58卷 / 02期

关键词：

Bertrand's paradox; new solution; records; rate of convergence;

D O I：

10.4134/BKMS.b200345

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：433 / 444

页数：12