(Adapted from Sapra, 2000; 2001). This problem involves an example that illustrates the Cox–Tsiatsis nonidentification of the competing risks result mentioned in Section 19.2. Consider the following dependent competing risks model in which we observe T = min(T1, T2) and δ, where δ = 1 if T = T1, and δ = 2 if T = T2. Here T1 and T2 are latent durations of risks 1 and 2, respectively. Suppose that the bivariate joint survivor function is S(t1, t2) = exp[−(λ1t1 + λ2t2)

α], 0 < α ≤ 1, λ1, λ2 > 0. Construct an independent CRM that is equivalent to the specified dependent competing risks model.