Normal approximations of the number of records in geometrically distributed random variables
Zhidong Bai, Hsien‐Kuei Hwang, Wen-Qi Liang · Random Structures and Algorithms · 1998
We establish the asymptotic normality of the number of upper records in a sequence of iid geometric random variables. Large deviations and local limit theorems as well as approximation theorems for the number of lower records are also derived. © 1998 John Wiley & Sons, Inc. Random Struct. Alg., 13: 319–334, 1998