Article ID Journal Published Year Pages File Type
1154593 Statistics & Probability Letters 2008 4 Pages PDF
Abstract

This short note adds to the existing knowledge on interpretation of the concept of kurtosis with regard to density crossing points. Local limit theorems are employed to show that, in the skew case, the conditions of a well-known theorem of Dyson cannot hold concurrently for standardized sums of independent and identically distributed random variables, for sufficiently large samples. A binomial example is considered.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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