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We consider the prospects of Functional Data Analysis (FDA) methods for statistical inference based on fuzzy data. To make the FDA-based reasoning efficient, we introduce another representation of fuzzy numbers than the traditionally used one, namely ICr functions. To show that the suggested approach can be effective, we propose a new test designed in the spirit of FDA methods, which has been shown to have good statistical properties.

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Considerations on the Use of FDA Methods in Statistical Inference with Fuzzy Data

  • 会议论文

  • 发表日期：

    2025年

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  • Przemyslaw Grzegorzewski,
  • Anna Kozak

摘要

We consider the prospects of Functional Data Analysis (FDA) methods for statistical inference based on fuzzy data. To make the FDA-based reasoning efficient, we introduce another representation of fuzzy numbers than the traditionally used one, namely ICr functions. To show that the suggested approach can be effective, we propose a new test designed in the spirit of FDA methods, which has been shown to have good statistical properties.