Haiman, George - In: Stochastic Processes and their Applications 80 (1999) 2, pp. 231-248
For a 1-dependent stationary sequence {Xn} we first show that if u satisfies p1=p1(u)=P(X1u)[less-than-or-equals, slant]0.025 and n3 is such that 88np13[less-than-or-equals, slant]1, thenP{max(X1,...,Xn)[less-than-or-equals, slant]u}=[nu]·[mu]n+O{p13(88n(1+124np13)+561)}, n3,where...