Abstract
Due to its flexibility, the skew distributions (univariate and multivariate) have received
widespread attention over the last two decades because they're become widely used in the
modelling and analysis of skewed data sets. The main goal of this paper is to introduce asymptotic
expressions for entropy of multivariate skew Laplace normal distribution to deal with the issue by
providing a flexible model for modeling skewness and heavy tiredness simultaneously. Thus, we
extend this study to the class of mixture model of these distributions. In addition, upper and lower
bounds of Rényi entropy of mixture model are found, by using generalized HӦlder’s inequality
and some properties of multinomial theorem.. Finally, we give a real data examples to illustrate
the behavior of information. A simulation study and a real data example, are also provided to
illustrate the information behavior of MSLN and MMSLN distributions for modeling data sets in
multivariate settings.
widespread attention over the last two decades because they're become widely used in the
modelling and analysis of skewed data sets. The main goal of this paper is to introduce asymptotic
expressions for entropy of multivariate skew Laplace normal distribution to deal with the issue by
providing a flexible model for modeling skewness and heavy tiredness simultaneously. Thus, we
extend this study to the class of mixture model of these distributions. In addition, upper and lower
bounds of Rényi entropy of mixture model are found, by using generalized HӦlder’s inequality
and some properties of multinomial theorem.. Finally, we give a real data examples to illustrate
the behavior of information. A simulation study and a real data example, are also provided to
illustrate the information behavior of MSLN and MMSLN distributions for modeling data sets in
multivariate settings.
Keywords
mixture model
MMSLN and multinomial theorem
Rényi entropy
Keywords
إنتروبيا ريني
نموذج الخليط
ونظرية متعددة الحدود MMSLN