A time-discrete extended gamma process for time-dependent degradation phenomena (Articolo in rivista)

Type
Label
  • A time-discrete extended gamma process for time-dependent degradation phenomena (Articolo in rivista) (literal)
Anno
  • 2012-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/j.ress.2011.12.016 (literal)
Alternative label
  • Guida M. 1,2; Postiglione F. 1; Pulcini G. 2 (2012)
    A time-discrete extended gamma process for time-dependent degradation phenomena
    in Reliability engineering & systems safety
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Guida M. 1,2; Postiglione F. 1; Pulcini G. 2 (literal)
Pagina inizio
  • 73 (literal)
Pagina fine
  • 79 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.sciencedirect.com/science/article/pii/S0951832011002791# (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 105 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 7 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 9 (literal)
Note
  • Google Scholar (literal)
  • Scopu (literal)
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • 1) Department of Electronic and Computer Engineering, University of Salerno, Fisciano, SA, Italy; 2) Istituto Motori, National Research Council-CNR, Naples, Italy. (literal)
Titolo
  • A time-discrete extended gamma process for time-dependent degradation phenomena (literal)
Abstract
  • The non-stationary Gamma process is a widely used mathematical model to describe degradation phenomena whose growth rate at time t depends only on the current age of the item and not on the accumulated damage up to t. Nevertheless, the Gamma process is not a proper choice when there is empirical evidence that the variance-to-mean ratio of the process varies with time, because the Gamma process implies a constant variance-to-mean ratio. This paper proposes a generalization of the nonstationary Gamma process, which can be viewed as a time discretization of the extended Gamma process and allows one to describe time-dependent degradation phenomena whose variance varies with time t, not necessarily in proportion to the mean. A way to approximate the exact distribution of the degradation growth over a given time interval is given and a test for assessing whether the assumption of the Gamma process can be rejected or not is discussed. Finally, the proposed model is applied to a real dataset consisting of the sliding wear data of four metal alloy specimens. (literal)
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