Pakes, Anthony G.; Li, Yun - In: Statistics & Probability Letters 40 (1998) 4, pp. 395-401
Given a sequence of i.i.d. random variables, new proofs are given for limit theorems for the number of observations near the maximum up to time n, as n -- [infinity]. The proofs rely on a Poisson approximation to conditioned binomial laws, and they reveal the origin in the limit laws of mixing...