An application of Stein's method to maxima in hypercubes [chapter]

Z. D. Bai, L. Devroye, T. H. Tsai
2005 Stein's Method and Applications  
We show that the number of maxima in random samples taken from [0, 1] d is asymptotically normally distributed. The method of proof relies on Stein's method and gives a convergence rate.
doi:10.1142/9789812567673_0010 fatcat:2d4ovhfptjfttee4zyuilf6nri