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A comparison of the rates of convergence for extremes under nonlinear normalization

Bouchra Labloul, Mohammadine Belbachir, Saad el Ouardirhi


We use the total variation distance between discrete random variables to evaluate the rate of convergence of Xn􀀀k+1;n, suitably normalised by the exponential normalization introduced by (Ravi and Mavitha, 2016) to its limit. Some examples are given for comparing the rates of convergence illustrate this result and that of (Barakat, HM, Nigm, EM and El-Adll, 2010)


Total variation distance, distributions power, exponential norming.

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