\newcommand{\d}[1]{\widehat{\delta}_{#1}} \newcommand{\g}[1]{\widehat{\gamma}_{#1}} \newcommand{\a}[1]{\widehat{\alpha}_{#1}} \newcommand{\B}[1]{\beta_{#1}} \newcommand{\b}[1]{\widehat{\beta}_{#1}} \newcommand{\B0}{{\beta_0}} \newcommand{\B1}{{\beta_1}} \newcommand{\B2}{{\beta_2}} \newcommand{\B3}{{\beta_3}} \newcommand{\b0}{\widehat{\beta}_0} \newcommand{\b1}{\widehat{\beta}_1} \newcommand{\b2}{\widehat{\beta}_2} \newcommand{\b3}{\widehat{\beta}_3} \newcommand{\b4}{\widehat{\beta}_4} \newcommand{\d0}{\widehat{\delta}_0} \newcommand{\d1}{\widehat{\delta}_1} \newcommand{\d2}{\widehat{\delta}_2} \newcommand{\d3}{\widehat{\delta}_3} \newcommand{\g0}{\widehat{\gamma}_0} \newcommand{\g1}{\widehat{\gamma}_1} \newcommand{\g2}{\widehat{\gamma}_2} \newcommand{\g3}{\widehat{\gamma}_3}