广义次序统计量的任意维边际密度函数(英文)

Multivariate Marginal Density Functions of Generalized Order Statistics

广义次序统计量包括许多用以描述有序变量的随机模型,研究广义次序统计量使人们能够采用统一的观点去看待这些具体的模型,揭示其内在的性质。本文用数学归纳法给出了广义次序统计量的任意维边际密度函数的显示表达式,这对进一步探讨广义次序统计量性质具有十分重要的意义。

The concept of generalized order statistics was indroduced as a unified approach to a variety of models of ordered random variables.This paper shows an explicit expression of the arbitrary dimentional marginal density functions of generalized order statistics by mathematical induction,it is significant for discussing the properties of generalized order statistics.