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e where g(F) = VF, h(F) = (F2/r) + (rtr/t) - 2(Ftr/t) and x = rt/(4tr(t - tr)) which we can approximate for x large again using Laplace's method. This is equivalent to assuming t ~ tr and r ~ O (1) or t ^ tr and r ^ 4tr. The asymptotic contribution comes from around the minimum of h(F) which is at F = rtr/1. There are two possibilities.

(i) The minimum lies in the range of integration: (rtr/t) > Rr. Introducing a new variable w = F — (rtr/r) and expanding for large x gives

(ii) The minimum does not lie in the range of integration: rtr/t < Rr. Introducing a new variable w = F — Rr and expanding for large x gives

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