an:06184061
Zbl 1287.60022
Mameli, Valentina; Musio, Monica
A generalization of the skew-normal distribution: the beta skew-normal
EN
Commun. Stat., Theory Methods 42, No. 12, 2229-2244 (2013).
00319416
2013
j
60E05 62E15
Balakrishnan skew-normal; beta skew-normal; order statistics; skew-normal distribution
A new family of distributions (called beta skew-normal BSN), which is a special case of thee beta generated distribution. Three generalizations of the skew-normal (SN) distribution are considered, including the two-parameter case. A new family of distributions (BSN) generalizes also SN. These distributions are flexible enough to support both unimodal and bimodal shape. This family arises when the distribution of order statistics of an SN distribution is considered. The class of BSN can be also generalized by the inclusion of the location and scale parameters.
Pavel Fron??k (Praha)