We consider a "length-biased" shift-dependent information measure, related to the differential entropy in which higher weight is assigned to large values of observed random variables. This allows us to introduce the notions of "weighted residual entropy" and "weighted past entropy", that are suitable to describe dynamic information of random lifetimes, in analogy with the entropies of residual and past lifetimes introduced in [9] and [6], respectively. The obtained results include their behaviors under monotonic transformations.

On weighted residual and past entropies / DI CRESCENZO, Antonio; Longobardi, Maria. - In: SCIENTIAE MATHEMATICAE JAPONICAE. - ISSN 1346-0862. - ELETTRONICO. - 64:2(2006), pp. 255-266.

On weighted residual and past entropies

LONGOBARDI, MARIA
2006

Abstract

We consider a "length-biased" shift-dependent information measure, related to the differential entropy in which higher weight is assigned to large values of observed random variables. This allows us to introduce the notions of "weighted residual entropy" and "weighted past entropy", that are suitable to describe dynamic information of random lifetimes, in analogy with the entropies of residual and past lifetimes introduced in [9] and [6], respectively. The obtained results include their behaviors under monotonic transformations.
2006
On weighted residual and past entropies / DI CRESCENZO, Antonio; Longobardi, Maria. - In: SCIENTIAE MATHEMATICAE JAPONICAE. - ISSN 1346-0862. - ELETTRONICO. - 64:2(2006), pp. 255-266.
File in questo prodotto:
File Dimensione Formato  
Longobardi_SCMJ.pdf

non disponibili

Tipologia: Documento in Post-print
Licenza: Accesso privato/ristretto
Dimensione 147.5 kB
Formato Adobe PDF
147.5 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

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/11588/105731
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact