赌金分配问题3种解法的等价性证明及推广与应用  

The Equivalence Proof,Application and Extension of Three Solutions on the Problem of Rational Division of Stakes

作　　者：郇静琳 牛宇童 Huan Jinglin;Niu Yutong(School of Mathematical Sciences,Nankai University,Tianjin 300071,China)

机构地区：[1]南开大学数学科学学院,天津300071

出　　处：《南开大学学报（自然科学版）》2023年第4期81-86,共6页Acta Scientiarum Naturalium Universitatis Nankaiensis

摘　　要：对概率论起源问题"赌金分配问题"的3种解法的等价性进行了统一的证明,并考虑了一种特殊的证法.此外还给出了赌金分配问题的推广与应用.A uniform proof is obtained to the equivalence of three combinational solutions on the Problems of Rational Division of Stakes.And a special proof method is provided.The application and promotion of the Problem of Rational Division of Stakes are also given.

关 键 词：赌金分配问题 等价性 数学归纳法 负二项分布 

分 类 号：O211.6[理学—概率论与数理统计]