
Parameter: λ14 Identified
Algebraic Equations:
σ13λ14-σ34
Instrumental Variable:
3 | {}
3 | {2}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω13 Identified
Algebraic Equations:
-σ13+ω13
Parameter: ω14 Identified
Algebraic Equations:
-σ13σ14+σ11σ34+σ13ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω44 Identified
Algebraic Equations:
2σ13σ14σ34-σ11σ342-σ132σ44+σ132ω44
Constraint Set:
σ24,
σ23,
σ12
All constraints are determinantal
Trek-separation:
{2} ⊥ {1,3,4} | ({},{})
{1,2} ⊥ {1,3,4} | ({1},{})
{3,2} ⊥ {1,3,4} | ({3},{})
{4,2} ⊥ {1,3,4} | ({4},{})
{2,3} ⊥ {1,4} | ({},{1})
{1,3,2} ⊥ {1,3,4} | ({1,3},{})
{1,4,2} ⊥ {1,3,4} | ({1,4},{})
{3,4,2} ⊥ {1,3,4} | ({3,4},{})
Algebraic Equations:
σ13λ14-σ34
Instrumental Variable:
3 | {}
3 | {2}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω13 Identified
Algebraic Equations:
-σ13+ω13
Parameter: ω14 Identified
Algebraic Equations:
-σ13σ14+σ11σ34+σ13ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω44 Identified
Algebraic Equations:
2σ13σ14σ34-σ11σ342-σ132σ44+σ132ω44
Vanishing Ideal
Constraint Set:
σ24,
σ23,
σ12
All constraints are determinantal
Trek-separation:
{2} ⊥ {1,3,4} | ({},{})
{1,2} ⊥ {1,3,4} | ({1},{})
{3,2} ⊥ {1,3,4} | ({3},{})
{4,2} ⊥ {1,3,4} | ({4},{})
{2,3} ⊥ {1,4} | ({},{1})
{1,3,2} ⊥ {1,3,4} | ({1,3},{})
{1,4,2} ⊥ {1,3,4} | ({1,4},{})
{3,4,2} ⊥ {1,3,4} | ({3,4},{})