“…For clarity of presentation of the main idea, we assume that the true value of the population parameters ψ (1) = (π, β,θ ,Λ 0 ) or ψ (2) = (π, θ , Λ 00 , Λ 01 ) are available. In practice, these can be estimated from family studies by well-established statistical methods (e.g., Gorfine et al, 2006; Zeng and Lin, 2007 for cohort family study, and Shih and Chatterjee, 2002; Hsu et al, 2004; Chatterjee et al, 2006; Chen et al, 2009; Gorfine et al, 2009; Graber-Naidich et al, 2011 for case-control family study).…”