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Author: Kevin P Balanda
Subject: Mathematics
Assume GCH. Let κ, μ, Σ be cardinals, with κ infinite. Let be a family consisting of λ pairwise almost disjoint subsets of Σ each of size κ, whose union is Σ. In this note it is shown that for each μ with 1 ≤ μ ≤min(λ, Σ), there is a “large” almost disjoint family of...
Article in The Clinical Teacher 6(3):190 - 194 · August 2009
The goal of the current study was to identify discrete longitudinal patterns of change in adolescent smoking using latent growth mixture modeling. Five distinct longitudinal patterns were identified. A group of early rapid escalators was characterized by early escalation (at age 13) that rapidly...
Members of the community contribute to survival from out-of-hospital cardiac arrest by contacting emergency medical services and performing cardiopulmonary resuscitation (CPR) prior to the arrival of an ambulance. In Australia there is a paucity of information of the extent that community members...
Subject: Kurtosis
An increase in kurtosis is achieved through the location- and scale-free movement of probability mass from the “shoulders” of a distribution into its centre and tails. We introduce a coherent structure of ordering and measures, requiring no symmetry assumption, that represent different...
Author: Balanda, K P
We first describe a class of quantile-based kurtosis orderings on symmetric distributions that use density matching to match the scales of distributions before kurtosis comparisons are made. We then use the orderings to give a meaningful comparison of the kurtosis properties of the Cauchy and...
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...
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Subject: Mathematics
Article in Mathematical Proceedings of the Cambridge Philosophical Society 93(01) · January 1983

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