In this work, it is proposed to use the Dagum model (Dagum, 1977) in the reliability theory. The main motivation is due to the fact that the hazard rate of this model is very flexible; in fact, it is proved (Domma, 2002) that, according to the values of the parameters, the hazard rate of the Dagum distribution has a decreasing, or a Upside-down Bathtub, or Bathtub and then Upside-down Bathtub failure rate. In this work we study some features of the Dagum distribution as the reversed hazard rate, the mean and variance of the random variables residual life and reversed residual life and their monotonic properties. One published data set has been analyzed for illustrative purpose.
Domma, A., Latorre, G., Zenga, M. (2011). Reliability studies of Dagum distribution [Working paper del dipartimento].
Reliability studies of Dagum distribution
ZENGA, MARIANGELA
2011
Abstract
In this work, it is proposed to use the Dagum model (Dagum, 1977) in the reliability theory. The main motivation is due to the fact that the hazard rate of this model is very flexible; in fact, it is proved (Domma, 2002) that, according to the values of the parameters, the hazard rate of the Dagum distribution has a decreasing, or a Upside-down Bathtub, or Bathtub and then Upside-down Bathtub failure rate. In this work we study some features of the Dagum distribution as the reversed hazard rate, the mean and variance of the random variables residual life and reversed residual life and their monotonic properties. One published data set has been analyzed for illustrative purpose.
| File | Dimensione | Formato | |
|---|---|---|---|
|
Reliability_studies_of_Dagum_distribution_Rapporto_n206.pdf
accesso aperto
Tipologia di allegato:
Other attachments
Dimensione
2.96 MB
Formato
Adobe PDF
|
2.96 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
