Let Xi, i = 1, 2, be independent observations from the gamma distributions Γ(a, γ1) and Γ(a, γ2), respectively, where a > 0 is known and γi > 0, i = 1, 2, are unknown. Find the Bayes factor and the Bayes test for H0; γ1 = γ2 versus H1; γ1 ≠ γ2under the prior c.d.f. Π = π0Π0 + (1 - π0)Π1, where Π0(x1, x2) = G(min{x1, x2}), Π1(x1, x2) = G(x1)G(x2), G(x) is the c.d.f. of a known gamma distribution, and π0 is a known constant.