The Journal of Reliability Engineering Association of Japan
Online ISSN : 2424-2543
Print ISSN : 0919-2697
ISSN-L : 0919-2697
Sess. 7-3 Applications of a new power normal family
Takafumi ISOGAI
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2002 Volume 24 Issue 8 Pages 863-866

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Abstract
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.
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© 2002 Reliability Engineering Association of Japan
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