Su alcune strutture di spazio metrico con sostegno‘…l'insieme delle variabili casuali associate a successioni di numeri a caso

Authors

  • Antonio Maturo Dip. di Scienze, Storia dell'Architettura e Restauro, Viale Pindaro 42, 65127 Pescara

Abstract

Sommario: Si mostra come. generalizzando i concerti relativi all'analisi di Fourier di successioni di numeri pseudocasuali ed introducendo la nozione di variabile casuale n-dimensionale associata ad una successione di numeri pseudocasuali, si può dotare
in più modi l'insieme di tali variabili casuali di una struttura di spazio metrico soddisfacente ad opportune condizioni assegnate.
In particolare. in tali spazi metrici. la distanza di una variabile casuale X da una variabile casuale uniforme continua o discreta normalizzata si può interpretare come discrepanza di ordine n fra una successione di numeri pseudocasuali associata ad X e
la condizione di equidistribuzione in [0.1]^n. Come casi particolari si ottengono le condizioni prese in considerazione nei lavori
[1]. [21].[5].

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Published

1993-02-18

Issue

Vol. 6 (1993)

Section

Volume 6-1993

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