eprintid: 708
rev_number: 13
eprint_status: archive
userid: 19
dir: disk0/00/00/07/08
datestamp: 2011-07-06 09:56:58
lastmod: 2011-07-11 14:37:42
status_changed: 2011-07-06 09:57:36
type: article
metadata_visibility: show
item_issues_count: 0
creators_name: Durante, Fabrizio
creators_name: Foschi, Rachele
creators_name: Spizzichino, Fabio
creators_id: 
creators_id: rachele.foschi@imtlucca.it
creators_id: 
title: Aging functions and multivariate notions of NBU and IFR
ispublished: pub
subjects: HA
subjects: HB
divisions: EIC
full_text_status: public
abstract: For d≥2, let X=(X1, …, Xd) be a vector of exchangeable continuous lifetimes with joint survival function $\overline{F}$. For such models, we study some properties of multivariate aging of $\overline{F}$ that are described by means of the multivariate aging function $B_{\overline{F}}$, which is a useful tool for describing the level curves of $\overline{F}$. Specifically, the attention is devoted to notions that generalize the univariate concepts of New Better than Used and Increasing Failure Rate. These multivariate notions are satisfied by random vectors whose components are conditionally independent and identically distributed having univariate conditional survival function that is New Better than Used (respectively, Increasing Failure Rate). Furthermore, they also have an interpretation in terms of comparisons among conditional survival functions of residual lifetimes, given a same history of observed survivals.
date: 2010
date_type: published
publication: Probability in the Engineering and Informational Sciences
volume: 24
number: 02
pagerange: 263-278
id_number: 10.1017/S026996480999026X
refereed: TRUE
official_url: http://dx.doi.org/10.1017/S026996480999026X
citation:   Durante, Fabrizio and Foschi, Rachele and Spizzichino, Fabio  Aging functions and multivariate notions of NBU and IFR.  Probability in the Engineering and Informational Sciences, 24 (02).  pp. 263-278.       (2010)  
document_url: http://eprints.imtlucca.it/708/1/Prob._in_eng_infor_science.pdf