Abstract

This paper provides an asymptotic evaluation of the quadrant probability P( Y 1⩽ b,…, Y t ⩽ b) as t→∞, where the Y i 's are exchangeable normals with a correlation ρ. This probability is often represented as ∫ −∞ ∞ Φ t(x) dΦ(a 1/2(x−b)) , where Φ is the standard normal distribution, and a=(1− ρ)/ ρ.

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