In this paper we study the Beta skew-normal distribution introduced by Mameli and Musio (2013). Some new properties of this distribution are derived including formulae for moments in particular cases and bi-modality properties. Fur- thermore, we provide expansions for its distribution and density functions. Bounds for the moments and the variance of the Beta skew-normal are derived. Some of the results presented in this work can be extended to the entire family of the Beta- generated distribution introduced by Jones (2004).
Some new results on the Beta skew-normal distribution
MAMELI, VALENTINA;MUSIO, MONICA
2016-01-01
Abstract
In this paper we study the Beta skew-normal distribution introduced by Mameli and Musio (2013). Some new properties of this distribution are derived including formulae for moments in particular cases and bi-modality properties. Fur- thermore, we provide expansions for its distribution and density functions. Bounds for the moments and the variance of the Beta skew-normal are derived. Some of the results presented in this work can be extended to the entire family of the Beta- generated distribution introduced by Jones (2004).
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Mameli-Musio-2016.pdf
Solo gestori archivio
Tipologia:
versione editoriale
Dimensione
1.08 MB
Formato
Adobe PDF
|
1.08 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
