Kurtosis: A critical review

Balanda K.P. and Macgillivray H.L. (1988) Kurtosis: A critical review. American Statistician, 42 2: 111-119. doi:10.1080/00031305.1988.10475539

Author Balanda K.P.
Macgillivray H.L.
Title Kurtosis: A critical review
Journal name American Statistician   Check publisher's open access policy
ISSN 1537-2731
Publication date 1988
Sub-type Article (original research)
DOI 10.1080/00031305.1988.10475539
Volume 42
Issue 2
Start page 111
End page 119
Total pages 9
Subject 2600 Mathematics
2613 Statistics and Probability
1804 Statistics, Probability and Uncertainty
Abstract We critically review the development of the concept of kurtosis. We conclude that it is best to define kurtosis vaguely as the location- and scale-free movement of probability mass from the shoulders of a distribution into its center and tails and to recognize that it can be formalized in many ways. These formalizations are best expressed in terms of location- and scale-free partial orderings on distributions and the measures that preserve them. The role of scale- matching techniques and placement of shoulders in the formalizations that have appeared in the literature are emphasized.
Keyword Measure
Tail weight
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import
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Citation counts: Scopus Citation Count Cited 159 times in Scopus Article | Citations
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