Any one with an idea of estimating the Technological/Logistic substitution 
model. The model is specified as:
fi(t(j)) = 1/[1-exp(-alpa(t(i))-beta(i)]    for t <tb and alpha >0
fi(t(j)) = 1-sum(f(j-1))- sum(f(j+1))       for tb <=t <= tc
fi(t(j)) = 1/[1+ exp(alpas(t(i)-betas(i))]  for t >=tc and alphas >0.
 
The models assume that n technologies are introduced to the market, where 1 is 
the oldest and technology n is the newest, i and j are subscripts representing 
the type of technology, fi is the market share, t is a subscript denoting time, 
alpha, alphas, beta, and betas are parameters, tb and tc are time periods 
during which the technology i starts to enter the saturation and decline phase, 
respectively.
 
Any suggestion, reading is helpful.  

Peter Maclean
Department of Economics
UDSM

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