کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1149687 | 957892 | 2009 | 9 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Bayesian modeling using a class of bimodal skew-elliptical distributions Bayesian modeling using a class of bimodal skew-elliptical distributions](/preview/png/1149687.png)
We consider Bayesian inference using an extension of the family of skew-elliptical distributions studied by Azzalini [1985. A class of distributions which includes the normal ones. Scand. J. Statist. Theory and Applications 12 (2), 171–178]. This new class is referred to as bimodal skew-elliptical (BSE) distributions. The elements of the BSE class can take quite different forms. In particular, they can adopt both uni- and bimodal shapes. The bimodal case behaves similarly to mixtures of two symmetric distributions and we compare inference under the BSE family with the specific case of mixtures of two normal distributions. We study the main properties of the general class and illustrate its applications to two problems involving density estimation and linear regression.
Journal: Journal of Statistical Planning and Inference - Volume 139, Issue 4, 1 April 2009, Pages 1484–1492