Here we need to estimate p_i, q_i, and β. Thank you,
> Min∑_(i=1)^n▒∑_(t=1)^l▒[s_i (t)-min[s ̂_i (t)×α_t×exp(g_t ),C_i > (t) ] ]^2 > subject to > s_i (t)=f_i (t)[S_i+f_(i-1) (t)[S_(i-1)+f_(i-2) (t)[S_(i-2)+⋯f_2 (t) > [S_2+f_1 (t) S_1 ]…] ] ][1-f_(i+1) (t)] > f_i (t)=F_i (t)-F_i (t-1) > F_i (t)=(((1-e^(-(X_i (t)-X_i (0) )(p_i+q_i ) )))/(((q_i⁄p_i ) e^(- > (X_i (t)-X_i (0) )(p_i+q_i ) )+1)), if t≥τ_i and F_i (t)=0 if > t<τ_i > X_i (t)=(t-τ_i+1)+ln(〖pr〗_i (t)/〖pr〗_i (0))β > α_t≥0, g_t=const > 0<p_i<1, 0<q_i<1 > S_i>0, > ∀i=1,2,…,n > Where > s ̂_i (t)=p_i S_i +(q_i-p_i ) s_i (t-1)-(q_i/S_i ) [s_i (t-1) ]^2, > S_i=μ_i (t)M_i -- http://mail.python.org/mailman/listinfo/python-list
