丁盈, 张新生. 广义正态分布次序统计量的随机序比较[J]. 应用概率统计, 2017, 33(6): 591-607. DOI: 10.3969/j.issn.1001-4268.2017.06.004
引用本文: 丁盈, 张新生. 广义正态分布次序统计量的随机序比较[J]. 应用概率统计, 2017, 33(6): 591-607. DOI: 10.3969/j.issn.1001-4268.2017.06.004
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DING Ying, ZHANG XinSheng. Stochastic Orders of Generalized Normal Distributions[J]. Chinese Journal of Applied Probability and Statistics, 2017, 33(6): 591-607. DOI: 10.3969/j.issn.1001-4268.2017.06.004
Citation: DING Ying, ZHANG XinSheng. Stochastic Orders of Generalized Normal Distributions[J]. Chinese Journal of Applied Probability and Statistics, 2017, 33(6): 591-607. DOI: 10.3969/j.issn.1001-4268.2017.06.004
shu

广义正态分布次序统计量的随机序比较

Stochastic Orders of Generalized Normal Distributions

    摘要
  • 摘要: 本文研究了广义正态分布的次序统计量的随机序关系,通过参数矩阵和参数向量优化序给出了随机序关系成立的充分条件,并证明这些条件在某些情形下也是必要条件.

     

    Abstract: In this paper, we study the stochastic comparisons of order statistics from generalized normal distributions. We obtain some sufficient conditions for ordering results based on parameter matrix and vector majorization comparisons. These conditions are necessary in some cases.

     

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