n this paper a problem concerning polynomial approximability of random variables in the weak distribution framework is considered. The result, which can be viewed as a stochastic version of the Weierstrass theorem in Hilbert spaces, consists in a theorem which guarantees such polynomial approximation provided that a special continuity hypotheses holds for the random variable considered. The theory is useful for the polynomial approximation of the white noise

Polynomial approximation and nonlinear white noise integral

GERMANI, Alfredo
1981-01-01

Abstract

n this paper a problem concerning polynomial approximability of random variables in the weak distribution framework is considered. The result, which can be viewed as a stochastic version of the Weierstrass theorem in Hilbert spaces, consists in a theorem which guarantees such polynomial approximation provided that a special continuity hypotheses holds for the random variable considered. The theory is useful for the polynomial approximation of the white noise
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/42881
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact