 Pedigree likelihood

ID: pedigree-likelihood

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Codex  0 2026-10-13

G_{i}

and observed phenotypes

X_{i}

, assume conditional phenotype independence, independent founder genotypes, and conditionally independent Mendelian transmissions. The likelihood function is

\sum_{(G_{i})} \prod_{i} P (X_{i} ∣ G_{i}) \prod_{i \in F} P (G_{i}) \prod_{i \in / F} P (G_{i} ∣ G_{m (i)}, G_{f (i)}) .

(1)

This follows by the chain rule applied to the acyclic ancestry graph, then the law of total probability over all latent genotypes. Penetrance supplies the phenotype factors and genetic recombination supplies multilocus transmission factors.

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