Smith (1969, Section 21 10) quotes an example on genetic linkage in which we have observations x (x 1 , x 2 , x 3 , x 4 ) with cell probabilities The values quoted are x 1 461, x 2 130, x 3 161 and X 4 515 Divide x 1 into Yo and Y 1 and X 4 into y 4 and Y 5 to produce augmented data y (y 0 , Y 1 , ...

To apply the EM algorithm for estimating parameters in this genetic linkage example we need to follo ...

Smith (1969, Section 21.10) quotes an example on genetic linkage in which we have observations x =

Question:

Smith (1969, Section 21.10) quotes an example on genetic linkage in which we have observations x = (x₁, x₂ , x₃ , x₄) with cell probabilities

( +n, n ;( n), (1 n)+k). The values quoted are x₁ = 461, x₂ = 130, x₃= 161 and X₄ = 515. Divide x₁ into Yo and Y₁ and X₄ into y₄ and Y₅ to produce augmented data y = (y₀, Y₁, Y₂, y₃, Y₄, Y₅) and use the EM algorithm to estimate n.