Birth-Death Chain

Chain Parameters

States N: 12 Birth rate profile: Base λ: 0.6 Death rate profile: Base μ: 0.4

Statistics

Current state:—

Mean (exact):—

Variance:—

Ergodic?—

About

Stationary dist: π_n ∝ ρ_1·ρ_2·…·ρ_n where ρ_i = λ_{i-1}/μ_i (detailed balance). The chain is ergodic (positive recurrent) iff Σπ_n < ∞ and all states communicate. Birth rate λ_i, death rate μ_i at state i.