Moment-Ratio Diagrams for Univariate Distributions
نویسندگان
چکیده
منابع مشابه
Moment-Ratio Diagrams for Univariate Distributions
We present two moment-ratio diagrams along with guidance for their interpretation. The first momentratio diagram is a graph of skewness versus kurtosis for common univariate probability distributions. The second moment-ratio diagram is a graph of coefficient of variation versus skewness for common univariate probability distributions. Both of these diagrams, to our knowledge, are the most compr...
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Based on a constructive representation, which distinguishes between a skewing mechanism P and an underlying symmetric distribution F , we introduce two flexible classes of distributions. They are generated by nonparametric modelling of either P or F . We examine properties of these distributions and consider how they can help us to identify which aspects of the data are badly captured by simple...
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limits can be used in conjunction with a normalizing transformation, as illustrated by the logarithmic transformation in the preceding example from Nelson (1982). Transformations to achieve approximate normality are especially important in light of the lack of robustness of the prediction limits noted earlier. 2. Some instructors may wish to contrast prediction limits with tolerance limits; the...
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The purpose of this paper is to graphically illustrate the parametric relationships between pairs of 35 univariate distribution families. The families are organized into a seven-by-five matrix and the relationships are illustrated by connecting related families with arrows. A simplified matrix, showing only 25 families, is designed for student use. These relationships provide rapid access to in...
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ژورنال
عنوان ژورنال: Journal of Quality Technology
سال: 2010
ISSN: 0022-4065,2575-6230
DOI: 10.1080/00224065.2010.11917824