ALMOST SURE LIMIT THEOREM OF CONDITIONAL EXTREMES

作者：Tan, Zhongquan; Peng, Zuoxiang^*

来源：Pakistan Journal of Statistics, 2010, 26(4): 649-657.

• Almost sure limit theorem
• conditional extreme
• induced order statistic

Suppose that (X(1),Z(1)),...,(X(n),Z(n)) are independently and identically distributed bivariate random variables from parent (X,Z). Let Z(n1),Z(n2),...,Z(nn) denote the induced order statistics and M(k)(n) = max{Z(n1),Z(n2),...,Z(nk)}. Based on the results of Gangopadhyay (1995), the almost sure limit theorem of the maximum M(k)(n) is derived.

• 出版日期2010-10
• 单位遵义师范学院; 西南大学; 苏州大学