Wang, Xiao Qian et Cheng, Shi Hong, General Regular Variation of nth Order and the 2nd Order Edgeworth Expansion of the Extreme Value Distribution (I), Acta mathematica Sinica. English series (Print) , 21(5), 2005, pp. 1121-1130
In Part I the concept of the general regular variation of nth order is proposed and its construction is discussed. The uniqueness of the standard expression and the higher order regularity of the auxiliary functions are proved.