
Parameter: λ34 Identified
Algebraic Equations:
σ23λ34-σ24,
σ13λ34-σ14
Instrumental Variable:
1 | {}
1 | {2}
2 | {}
2 | {1}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω13 Identified
Algebraic Equations:
-σ13+ω13
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ23+ω23
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω34 Identified
Algebraic Equations:
σ24σ33-σ23σ34+σ23ω34,
σ14σ33-σ13σ34+σ13ω34
Parameter: ω44 Identified
Algebraic Equations:
-σ242σ33+2σ23σ24σ34-σ232σ44+σ232ω44,
-σ14σ24σ33+2σ13σ24σ34-σ13σ23σ44+σ13σ23ω44,
-σ142σ33+2σ13σ14σ34-σ132σ44+σ132ω44
Constraint Set:
σ12,
σ14σ23-σ13σ24
All constraints are determinantal
Trek-separation:
{1} ⊥ {2} | ({},{})
{1,2} ⊥ {3,4} | ({},{3})
Algebraic Equations:
σ23λ34-σ24,
σ13λ34-σ14
Instrumental Variable:
1 | {}
1 | {2}
2 | {}
2 | {1}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω13 Identified
Algebraic Equations:
-σ13+ω13
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ23+ω23
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω34 Identified
Algebraic Equations:
σ24σ33-σ23σ34+σ23ω34,
σ14σ33-σ13σ34+σ13ω34
Parameter: ω44 Identified
Algebraic Equations:
-σ242σ33+2σ23σ24σ34-σ232σ44+σ232ω44,
-σ14σ24σ33+2σ13σ24σ34-σ13σ23σ44+σ13σ23ω44,
-σ142σ33+2σ13σ14σ34-σ132σ44+σ132ω44
Vanishing Ideal
Constraint Set:
σ12,
σ14σ23-σ13σ24
All constraints are determinantal
Trek-separation:
{1} ⊥ {2} | ({},{})
{1,2} ⊥ {3,4} | ({},{3})