Scholarlink

This article introduces the F-t distributions on the real Siegel domain associated to the cone of positive definite symmetric matrices. These distributions arise from a random variable defined in a group theoretical way using the quadratic map to the cone. Its density function is also provided based on analysis on the real Siegel domains. As an application, we present a numerical experiment for an invariant simultaneous test for two-sample problem.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

F-t Joint Distribution on a Real Siegel Domain and Simultaneous Hypothesis Test

  • 会议论文

  • 发表日期：

    2026年

查看全文
  • Hiroto Inoue

摘要

This article introduces the F-t distributions on the real Siegel domain associated to the cone of positive definite symmetric matrices. These distributions arise from a random variable defined in a group theoretical way using the quadratic map to the cone. Its density function is also provided based on analysis on the real Siegel domains. As an application, we present a numerical experiment for an invariant simultaneous test for two-sample problem.