NBD theorem: VMR=1+μ/k; σ²=μ(k+μ)/k; Poisson k→∞ VMR=1; geometric k=1; E[X²]

Layer 3 — Biologyin the parasitology subtree

Sympy-exact symbolic witness of the negative-binomial aggregation canonical variance-to-mean identities. Setup: μ, k_agg — positive symbols; σ², E[X²] derived. Variance-to-mean ratio: VMR = σ²/μ = 1 + μ/k_agg (sympy canonical '1 +…

Related concepts

Explore NBD theorem: VMR=1+μ/k; σ²=μ(k+μ)/k; Poisson k→∞ VMR=1; geometric k=1; E[X²] on the interactive knowledge graph →