
Parameter: λ12 Identified
Algebraic Equations:
σ14λ12-σ24
Instrumental Variable:
3 | {4}
4 | {}
4 | {3}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12σ14+σ11σ24+σ14ω12
Parameter: ω14 Identified
Algebraic Equations:
-σ14+ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ142σ22+2σ12σ14σ24-σ11σ242+σ142ω22
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω34 Identified
Algebraic Equations:
-σ34+ω34
Parameter: ω44 Identified
Algebraic Equations:
-σ44+ω44
Constraint Set:
σ23,
σ13
All constraints are determinantal
Trek-separation:
{1,2} ⊥ {3} | ({},{})
{1,2} ⊥ {3,4} | ({1},{})
{1,2} ⊥ {4,3} | ({},{4})
{1,2} ⊥ {2,3} | ({},{2})
{1,2} ⊥ {1,3} | ({},{1})
Algebraic Equations:
σ14λ12-σ24
Instrumental Variable:
3 | {4}
4 | {}
4 | {3}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12σ14+σ11σ24+σ14ω12
Parameter: ω14 Identified
Algebraic Equations:
-σ14+ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ142σ22+2σ12σ14σ24-σ11σ242+σ142ω22
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω34 Identified
Algebraic Equations:
-σ34+ω34
Parameter: ω44 Identified
Algebraic Equations:
-σ44+ω44
Vanishing Ideal
Constraint Set:
σ23,
σ13
All constraints are determinantal
Trek-separation:
{1,2} ⊥ {3} | ({},{})
{1,2} ⊥ {3,4} | ({1},{})
{1,2} ⊥ {4,3} | ({},{4})
{1,2} ⊥ {2,3} | ({},{2})
{1,2} ⊥ {1,3} | ({},{1})