sing the nonlinear programming (steepest decent) method, we want to estimate the parameters of a ARMAX model whose polynoomials are given in the following. A(q) =1+ ag*+a,g +ag B(q*) = b,g* C(q*)=1+cg +c,g y (t) B(q")

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Using the nonlinear programming (steepest decent) method, we want to estimate the parameters of an
ARMAX model whose polynoomials are given in the following.
A(g*) =1+ag++ag+ag
B(q ) = b,g
C(g")=1+cg* +cg*
1
B (g)
A g")
a) What is the minimum number of the observations?
b) Assume that we have some parametric observations as
U = [«(1),u(2).(3).u(4).u(5).u(6).u(7).u(8)
Y =[y (),y (2), y (3),v (4). y (5).y (6),y (7) y (8)
Considering whole steps of the mentioed method such as initial selection and updating of the parameters'
value (two updating steps is sufficient without considering the initialization step), write all the necessary
relations and parameters in respect to the obserations in a parametric and simplified form as possible.
Transcribed Image Text:Using the nonlinear programming (steepest decent) method, we want to estimate the parameters of an ARMAX model whose polynoomials are given in the following. A(g*) =1+ag++ag+ag B(q ) = b,g C(g")=1+cg* +cg* 1 B (g) A g") a) What is the minimum number of the observations? b) Assume that we have some parametric observations as U = [«(1),u(2).(3).u(4).u(5).u(6).u(7).u(8) Y =[y (),y (2), y (3),v (4). y (5).y (6),y (7) y (8) Considering whole steps of the mentioed method such as initial selection and updating of the parameters' value (two updating steps is sufficient without considering the initialization step), write all the necessary relations and parameters in respect to the obserations in a parametric and simplified form as possible.
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