Table 5 Conditional probability distribution of Y_j values for pair of sibs

AA-AA

ξ_j²

p(AA_f)p(AA_m) + τ

1/2 (p(AA_f)p(A_m) + p(A_f)p(AA_m)) + τ

p(A_f) p(A_m) + τ

BB-BB

ξ_j²

P(BB_f)p(BB_m) +τ

1/2 (p(BB_f)p(B_m) + p(B_f)p(BB_m))+τ

p(B_f)p(B_m)+ τ

AB-AB

ξ_j²

p(AA_f)p(BB_m) + p(BB_f)p(AA_m) + 1/2p(AB_f) p(AB_m) -2τ

p(B_f)p(A_m) + p(A_f)p(B_m) - 1/4 [p(AB_f)+ p(AB_m)] - 2 τ

p(A_f)p(B_m) + p(B_f)p(A_m)-2τ

AA-AB

(a-d +ξ_j)²

1/2 (p(AB_f)p(AA_m) + p(AA_f)p(AB_m))

1/4(p(A_f)p(AB_m) + p(AB_f)p(A_m))

0

AB-AA

(-a + d + ξ_j)²

1/2 (p(AB_f)p(AA_m) + p(AA_f)p(AB_m))

1/4(p(A_f)p(AB_m)+ p(AB_f)p(A_m))

0

AB-BB

(a + d +ξ_j)²

1/2 (p(AB_f)p(BB_m) + p(BB_f)p(AB_m))

1/4(p(B_f)p(AB_m) + p(AB_f)p(B_m))

0

BB-AB

(-a-d +ξ_j)²

1/2 (p(AB_f)p(BB_m) + p(BB_f)p(AB_m))

1/4(p(B_f)p(AB_m) + p(AB_f)p(B_m))

0

AA-BB

(2a +ξ_j)²

1/4 p(AB_f) p(AB_m)

0

0

BB-AA

(-2a + ξ_j)²

1/4 p(AB_f) p(AB_m)

0

0

Total

1

1

1