
Parameter: λ14 Identified
Algebraic Equations:
σ12λ14-σ24
Instrumental Variable:
2 | {}
2 | {3}
Parameter: λ34 Identified
Algebraic Equations:
σ12σ13λ34-σ12σ14+σ11σ24
Instrumental Variable:
2 | {1}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12+ω12
Parameter: ω13 Identified
Algebraic Equations:
-σ13+ω13
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω34 Identified
Algebraic Equations:
σ132σ24+σ12σ14σ33-σ11σ24σ33-σ12σ13σ34+σ12σ13ω34
Parameter: ω44 Identified
Algebraic Equations:
σ11σ132σ242-σ122σ142σ33+2σ11σ12σ14σ24σ33-σ112σ242σ33+2σ122σ13σ14σ34-2σ11σ12σ13σ24σ34-σ122σ132σ44+σ122σ132ω44
Constraint Set:
σ23
All constraints are determinantal
Trek-separation:
{2} ⊥ {3} | ({},{})
Algebraic Equations:
σ12λ14-σ24
Instrumental Variable:
2 | {}
2 | {3}
Parameter: λ34 Identified
Algebraic Equations:
σ12σ13λ34-σ12σ14+σ11σ24
Instrumental Variable:
2 | {1}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12+ω12
Parameter: ω13 Identified
Algebraic Equations:
-σ13+ω13
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω34 Identified
Algebraic Equations:
σ132σ24+σ12σ14σ33-σ11σ24σ33-σ12σ13σ34+σ12σ13ω34
Parameter: ω44 Identified
Algebraic Equations:
σ11σ132σ242-σ122σ142σ33+2σ11σ12σ14σ24σ33-σ112σ242σ33+2σ122σ13σ14σ34-2σ11σ12σ13σ24σ34-σ122σ132σ44+σ122σ132ω44
Vanishing Ideal
Constraint Set:
σ23
All constraints are determinantal
Trek-separation:
{2} ⊥ {3} | ({},{})