Normal Attraction of Records: Variations on the Theme
B.C. Arnold and J.A. Villasenor (1996). Normal Attraction of Records: Variations on the Theme. Journal of Statistical Research, Vol. 30, No. 1, pp. 1-10.
Abstract
Simple sufficient conditions are provided for normal attraction of records. The results extend to give sufficient conditions for transformed sums of i.i.d. variables (with positive mean and finite variance) to be asymptotically normal.