Parameter: λ₁₂ Identified

Algebraic Equations:

σ₁₃σ₁₄σ₂₂λ₁₂-σ₁₂σ₁₄σ₂₃λ₁₂-σ₁₂σ₁₃σ₂₄λ₁₂+σ₁₂σ₂₃σ₂₄+σ₁₂²σ₃₄λ₁₂-σ₁₂σ₂₂σ₃₄

Parameter: λ₂₃ Identified

Algebraic Equations:

σ₁₄σ₂₂λ₂₃-σ₁₄σ₂₃-σ₁₂σ₂₄λ₂₃+σ₁₂σ₃₄

Parameter: λ₂₄ Identified

Algebraic Equations:

σ₁₂λ₂₄-σ₁₄

Instrumental Variable:

1 | {}

Parameter: ω₁₁ Identified

Algebraic Equations:

-σ₁₁+ω₁₁

Parameter: ω₁₂ Identified

Algebraic Equations:

-σ₁₂σ₁₃σ₁₄σ₂₂+σ₁₂²σ₁₄σ₂₃+σ₁₂²σ₁₃σ₂₄-σ₁₁σ₁₂σ₂₃σ₂₄-σ₁₂³σ₃₄+σ₁₁σ₁₂σ₂₂σ₃₄+σ₁₃σ₁₄σ₂₂ω₁₂-σ₁₂σ₁₄σ₂₃ω₁₂-σ₁₂σ₁₃σ₂₄ω₁₂+σ₁₂²σ₃₄ω₁₂

Parameter: ω₁₃ Identified

Algebraic Equations:

-σ₁₃σ₁₄σ₂₂+σ₁₂σ₁₄σ₂₃+σ₁₂σ₁₃σ₂₄-σ₁₂²σ₃₄+σ₁₄σ₂₂ω₁₃-σ₁₂σ₂₄ω₁₃

Parameter: ω₂₂ Identified

Algebraic Equations:

-σ₁₃²σ₁₄²σ₂₂³+2σ₁₂σ₁₃σ₁₄²σ₂₂²σ₂₃-σ₁₂²σ₁₄²σ₂₂σ₂₃²+2σ₁₂σ₁₃²σ₁₄σ₂₂²σ₂₄-4σ₁₂²σ₁₃σ₁₄σ₂₂σ₂₃σ₂₄+2σ₁₂³σ₁₄σ₂₃²σ₂₄-σ₁₂²σ₁₃²σ₂₂σ₂₄²+2σ₁₂³σ₁₃σ₂₃σ₂₄²-σ₁₁σ₁₂²σ₂₃²σ₂₄²-2σ₁₂⁴σ₂₃σ₂₄σ₃₄+2σ₁₁σ₁₂²σ₂₂σ₂₃σ₂₄σ₃₄+σ₁₂⁴σ₂₂σ₃₄²-σ₁₁σ₁₂²σ₂₂²σ₃₄²+σ₁₃²σ₁₄²σ₂₂²ω₂₂-2σ₁₂σ₁₃σ₁₄²σ₂₂σ₂₃ω₂₂+σ₁₂²σ₁₄²σ₂₃²ω₂₂-2σ₁₂σ₁₃²σ₁₄σ₂₂σ₂₄ω₂₂+2σ₁₂²σ₁₃σ₁₄σ₂₃σ₂₄ω₂₂+σ₁₂²σ₁₃²σ₂₄²ω₂₂+2σ₁₂²σ₁₃σ₁₄σ₂₂σ₃₄ω₂₂-2σ₁₂³σ₁₄σ₂₃σ₃₄ω₂₂-2σ₁₂³σ₁₃σ₂₄σ₃₄ω₂₂+σ₁₂⁴σ₃₄²ω₂₂

Parameter: ω₂₄ Identified

Algebraic Equations:

σ₁₄σ₂₂-σ₁₂σ₂₄+σ₁₂ω₂₄

Parameter: ω₃₃ Identified

Algebraic Equations:

σ₁₄²σ₂₂σ₂₃²-2σ₁₂σ₁₄σ₂₃²σ₂₄-σ₁₄²σ₂₂²σ₃₃+2σ₁₂σ₁₄σ₂₂σ₂₄σ₃₃-σ₁₂²σ₂₄²σ₃₃+2σ₁₂²σ₂₃σ₂₄σ₃₄-σ₁₂²σ₂₂σ₃₄²+σ₁₄²σ₂₂²ω₃₃-2σ₁₂σ₁₄σ₂₂σ₂₄ω₃₃+σ₁₂²σ₂₄²ω₃₃

Parameter: ω₄₄ Identified

Algebraic Equations:

-σ₁₄²σ₂₂+2σ₁₂σ₁₄σ₂₄-σ₁₂²σ₄₄+σ₁₂²ω₄₄

Total Effect of X₁ on X₃: λ₁₂λ₂₃ Identified

Each Parameter Identified

Total Effect of X₁ on X₄: λ₁₂λ₂₄ Identified

Each Parameter Identified

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