Presentation 2002/11/8
Applications of a new power normal family
Takafumi ISOGAI,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) A new power normal family has been introduced by Isogai (1999) to transform a skewed and positive-valued distribution to a normal one. Its properties are shown compared to those of the Box and Cox's (1964) power normal family. Our new power normal family has many applications, because it includes not only log-normal and Weibull distributions but also the extreme value distribution of Type 2. However, the above two power normal families have a serious defect that they can treat positive-valued observations only. Thus, an alternative power normal family is constructed through our power normal family to deal with data comprised of positive- and negative-valued observations, and its properties are examined.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Power Transformation / Transformation to normality / Box & Cox's power normal family
Paper # R2002-52
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Committee R
Conference Date 2002/11/8(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Applications of a new power normal family
Sub Title (in English)
Keyword(1) Power Transformation
Keyword(2) Transformation to normality
Keyword(3) Box & Cox's power normal family
1st Author's Name Takafumi ISOGAI
1st Author's Affiliation Department of Information Systems Engineering, Kobe University of Mercantile Marine()
Date 2002/11/8
Paper # R2002-52
Volume (vol) vol.102
Number (no) 454
Page pp.pp.-
#Pages 4
Date of Issue