
Parameter: λ14 Identified
Algebraic Equations:
σ11σ23λ14-σ14σ23+σ12σ34
Parameter: λ24 Identified
Algebraic Equations:
σ23λ24-σ34
Instrumental Variable:
3 | {}
3 | {1}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12+ω12
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ23+ω23
Parameter: ω24 Identified
Algebraic Equations:
σ12σ14σ23-σ11σ23σ24-σ122σ34+σ11σ22σ34+σ11σ23ω24
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω44 Identified
Algebraic Equations:
σ142σ232-2σ12σ14σ23σ34+2σ11σ23σ24σ34+σ122σ342-σ11σ22σ342-σ11σ232σ44+σ11σ232ω44
Constraint Set:
σ13
All constraints are determinantal
Trek-separation:
{1} ⊥ {3} | ({},{})
Algebraic Equations:
σ11σ23λ14-σ14σ23+σ12σ34
Parameter: λ24 Identified
Algebraic Equations:
σ23λ24-σ34
Instrumental Variable:
3 | {}
3 | {1}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12+ω12
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ23+ω23
Parameter: ω24 Identified
Algebraic Equations:
σ12σ14σ23-σ11σ23σ24-σ122σ34+σ11σ22σ34+σ11σ23ω24
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω44 Identified
Algebraic Equations:
σ142σ232-2σ12σ14σ23σ34+2σ11σ23σ24σ34+σ122σ342-σ11σ22σ342-σ11σ232σ44+σ11σ232ω44
Vanishing Ideal
Constraint Set:
σ13
All constraints are determinantal
Trek-separation:
{1} ⊥ {3} | ({},{})