Journal of Probability and Statistics / 2010 / Article / Fig 4

Research Article

Estimating ๐ฟ -Functionals for Heavy-Tailed Distributions and Application

Figure 4

Plots of the ratios of the numbers of extreme statistics, as functions of the sample size, for a stable symmetric distribution ๐‘† 1 . 2 ( 1 , 0 , 0 ) (solid line), a stable distribution skewed to the right ๐‘† 1 . 2 ( 1 , 0 . 5 , 0 ) (dashed line) and a stable distribution skewed to the left ๐‘† 1 . 2 ( 1 , โˆ’ 0 . 5 , 0 ) (dotted line).
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