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<p>Some multivariate generalizations of the logistic distribution are presented. These distributions generalize those proposed by Gumbel, Malik and Abraham. Their more flexible properties are discussed. Examples of limit theorems are presented for extreme order statistics and statistics that admit (at least asymptotically) additive representation and are constructed from samples with random sizes, in particular, for random sums of random vectors, in which these multivariate logistic distributions can be limiting.</p>

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On Some Multivariate Generalizations of The Logistic Distributions and Their Properties

  • 期刊论文

  • 发表日期：

    2025年7月9日

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  • V. Yu. Korolev,
  • Yu. S. Khokhlov,
  • A. V. Garkavenko

摘要

Some multivariate generalizations of the logistic distribution are presented. These distributions generalize those proposed by Gumbel, Malik and Abraham. Their more flexible properties are discussed. Examples of limit theorems are presented for extreme order statistics and statistics that admit (at least asymptotically) additive representation and are constructed from samples with random sizes, in particular, for random sums of random vectors, in which these multivariate logistic distributions can be limiting.