Confidence Interval for the complexity index of functional data

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Abstract

This paper presents the concept of complexity index for generic random processes. This is based on the notion of small-ball probability and the possibility that this probability can be decomposed as a factorization of two functions. One of these two factors carries information regarding the complexity of the process, which coincides with the number of random sources characterizing the process or, equivalently, its degrees of freedom. This factor has been studied in literature and this paper shows some statistical results on how it can be exploited to make inference on the degrees of freedom of the random process.
Lingua originaleInglese
Numero di pagine4
Stato di pubblicazioneIn press - 6 giu 2024
EventoThe 52nd Scientific Meeting of the Italian Statistical Society - Bari
Durata: 3 gen 0001 → …

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???event.eventtypes.event.conference???The 52nd Scientific Meeting of the Italian Statistical Society
CittàBari
Periodo3/01/01 → …

Keywords

  • 1–approximating functional
  • Small-ball probability
  • degrees of freedom
  • β–mixing

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