ajdmom.mdl_2fsv.cov.vvee_IEI_IEII_vnvn

ajdmom.mdl_2fsv.cov.vvee_IEI_IEII_vnvn(n2, n3, n4, n5, n6, n7, n8)[source]

Multiply \(IEI\_IEII\) by \(v_{1,n}v_{2,n}e^{-k_1(n+1)h}e^{-k_2(n+1)h}\)

Compute \(E[v_{1,n}^{n_2}v_{2,n}^{n_3}e^{-n_4k_1(n+1)h}e^{-n_6k_2(n+1)h} eI_{1,n+1}^{n_4} I_{1,n+1}^{n_5} eI_{2,n+1}^{n_6} I_{2,n+1}^{n_7} I_{n+1}^{*n_8}|v_{1,n}v_{2,n}]\) and expand \(v_{1,n}\) and \(v_{2,n}\).

Parameters:
  • n2 (int) – times of \(v_{1,n}\) being selected.

  • n3 (int) – times of \(v_{2,n}\) being selected.

  • n4 (int) – times of \(eI_{1,n+1}\) being selected.

  • n5 (int) – times of \(I_{1,n+1}\) being selected.

  • n6 (int) – times of \(eI_{2,n+1}\) being selected.

  • n7 (int) – times of \(I_{2,n+1}\) being selected.

  • n8 (int) – times of \(I_{n+1}^{*}\) being selected.

Returns:

poly with attribute keyfor = (‘e^{-k1*nh}eI_{1,n}’,’e^{-k2*nh}eI_{2,n}’, ‘(n_1m*k1+n_2m*k2)^{-i_m},…,(n_11*k1+n_21*k2)^{-i_1}’, ‘e^{-(n1*k1+n2*k2)h}’,’h’, ‘v_{1,n-1}’,’theta1’,’sigma_v1’, ‘v_{2,n-1}’,’theta2’,’sigma_v2’).

Return type:

Poly