Comparison between the rates of convergence of extremes under linear and under power normalization

Faculty Science Year: 2010
Type of Publication: Article Pages: 149-164
Authors:
Barakat, H. M, Nigm, E. M, El-Adll, Magdy E
DOI: 10.1007/s00362-008-0128-1
Journal: STATISTICAL PAPERS SPRINGER Volume: 51
Research Area: Mathematics ISSN ISI:000271283900010
Keywords : Regular variation, l-max-stable laws, p-max-stable laws, Uniform metric, Total variation matric    
Abstract:
By using the theory of the second-order regular variation, we study the rates of the weak convergence of the maximum order statistics under power normalization. The exact rates are obtained in the uniform metric and the total variation metric. The relationship between the rates of convergence under linear and under power normalization is derived. Some illustrative examples are given for comparing the rates of convergence.
    
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