Abstract Details
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Activity Number:
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691
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Type:
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Contributed
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Date/Time:
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Thursday, August 8, 2013 : 10:30 AM to 12:20 PM
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Sponsor:
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IMS
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| Abstract - #309107 |
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Title:
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A New Family of Unimodal Skew-Symmetric Distributions with Mode-Invariance
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Author(s):
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Toshihiro Abe*+ and Hironori Fujisawa
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Companies:
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Tokyo University of Science and The Institute of Statistical Mathematics
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Keywords:
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Monotonicity of skewness ;
Normalizing constant ;
Skew-symmetric distribution ;
Unimodality
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Abstract:
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In this talk, we review the Azzalini's skew-symmetric distributions and consider a new family of unimodal asymmetric distributions from the symmetric distributions by using a specific class of transformation controlling the skewness. Its mode and normalizing constant remain unchanged for the transformation. Monotonicity of skewness can be shown easily under a weak condition for a transformation due to its mode invariance property. Finally, our models are applied in analyses of two data sets.
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Authors who are presenting talks have a * after their name.
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