We calculate, by simulations, numerical asymptotic distribution functions of likelihood ratio tests for fractional unit roots and cointegration rank. Because these distributions depend on a real-valued parameter b which must be estimated, simple tabulation is not feasible. Partly due to the...

We calculate numerically the asymptotic distribution functions of likelihood ratio tests for fractional unit roots and cointegration rank. Because these distributions depend on a real-valued parameter, b, which must be estimated, simple tabulation is not feasible. Partly due to the presence of...

We calculate numerically the asymptotic distribution functions of likelihood ratio tests for fractional unit roots and cointegration rank. Because these distributions depend on a real-valued parameter, b, which must be estimated, simple tabulation is not feasible. Partly due to the presence of...

We calculate numerically the asymptotic distribution functions of likelihood ratio tests for fractional unit roots and cointegration rank. Because these distributions depend on a real-valued parameter, b, which must be estimated, simple tabulation is not feasible. Partly due to the presence of...

(Logan, Mallows, Rice & Shepp 1973) analyse the limit probability distribution of the statistic <InlineEquation ID="IEq1"> <EquationSource Format="TEX">${S_n}\left( p \right)=\sum\nolimits_{i=1} {{X_i}/{{\left( {{{\sum\nolimits_{i=1} {|{X_j}|} }^p}} \right)}^{1/p}}}$</EquationSource> </InlineEquation> as n → ∞, when X{ini} is in the domain of attraction of a stable law with...</equationsource></inlineequation>