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Displaying similar documents to “Uniform rates of convergence in extreme-value theory. Normal and gamma models”

The generalized FGM distribution and its application to stereology of extremes

Daniel Hlubinka, Samuel Kotz (2010)

Applications of Mathematics

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The generalized FGM distribution and related copulas are used as bivariate models for the distribution of spheroidal characteristics. It is shown that this model is suitable for the study of extremes of the 3D spheroidal particles observed in terms of their random planar sections.

On the convergence of extreme distributions under power normalization

E. M. Nigm (2008)

Applicationes Mathematicae

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This paper deals with the convergence in distribution of the maximum of n independent and identically distributed random variables under power normalization. We measure the difference between the actual and asymptotic distributions in terms of the double-log scale. The error committed when replacing the actual distribution of the maximum under power normalization by its asymptotic distribution is studied, assuming that the cumulative distribution function of the random variables is known....