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).
2016
Inglese
Topics in Theoretical and Applied Statistics
Francesca Di Salvo, et al.
Giorgio Alleva, Andrea Giommi
25
36
12
Springer-Verlag Italia
MILANO
ITALIA
978-3-319-27272-6
978-3-319-27274-0
WOS:000390286300003
2-s2.0-85033348410
http://link.springer.com/chapter/10.1007/978-3-319-27274-0_3
Esperti anonimi
internazionale
scientifica
no
info:eu-repo/semantics/bookPart
2.1 Contributo in volume (Capitolo o Saggio)
Mameli, Valentina; Musio, Monica
2 Contributo in Volume::2.1 Contributo in volume (Capitolo o Saggio)
2
268
reserved
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