On the multiplicity of the maximum in a discrete random sample
On the multiplicity of the maximum in a discrete random sample
复制标题
关于离散随机样本中最大值的重数
DOI：
10.1214/aoap/1069786498
复制
发表时间：
2003
影响因子：
1.8
通讯作者：
R. Grübel
中科院分区：
文献类型：
--
作者：
F. Bruss;R. Grübel
Let Mn be the maximum of a sample X1,...,X n from a discrete distribution and let Wn be the number of i's, 1 ≤ i ≤ n, such that Xi=Mn. We discuss the asymptotic behavior of the distribution of Wn as n → ∞. The probability that the maximum is unique is of interest in diverse problems, for example, in connection with an algorithm for selecting a winner, and has been studied by several authors using mainly analytic tools. We present here an approach based on the Sukhatme-Renyi representation of exponential order statistics, which gives, as we think, a new insight into the problem.
