کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1153398 | 958331 | 2012 | 8 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Relationships between distributions with certain symmetries Relationships between distributions with certain symmetries](/preview/png/1153398.png)
The genesis of two-way links between the inverse Gaussian and Birnbaum–Saunders distributions is explored and extended. The most general results apply to pairs of distributions with a general ‘S-symmetry’ structure involving a self-inverse function closely related to a transformation function with certain properties. These general results arise by transformation from very simple properties of the familiar Azzalini-type skew-symmetric distributions. They specialise again to relationships between R-symmetric and log-symmetric distributions, between various models related to the inverse Gaussian and Birnbaum–Saunders distributions, relationships involving the sinh–arcsinh transformation, and others. Simple random variate generation is a practical consequence of these relationships.
Journal: Statistics & Probability Letters - Volume 82, Issue 9, September 2012, Pages 1737–1744