In this paper a special conjugate Bayesian method, for reconstructing and estimating traffic flows, based on α-shifted-Gamma <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$ \Upgamma (\theta ,\,\lambda ) $$</EquationSource> </InlineEquation> models <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$ H(\alpha ,\,\theta ,\,\lambda ) $$</EquationSource> </InlineEquation> is given. If the numbers of users traveling through different routes are assumed to...</equationsource></inlineequation></equationsource></inlineequation>