Alternative Equation Formats

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MathML

r w ( b ) = Δ i = 1 ρ τ k ( Y i x i b ) + Δ i = 0 { w i ( τ k ) ρ τ k ( Y i x i b ) + ( 1 w i ( τ k ) ) ρ τ k ( Y x i b ) }

Math Rendered as SVG

Math as LaTeX Source

\[ \begin{array}{lll} r_ w(b) & =\sum _{\Delta _ i=1} \rho _{\tau _ k}(Y_ i - {x}_ i' { b})\\ & +\sum _{\Delta _ i=0} \left\{ w_{i}(\tau _ k) \, \rho _{\tau _ k}(Y_ i - {x}_ i' b) + (1 - w_{i}(\tau _ k)) \rho _{\tau _ k}(Y^* - { x}_ i' b) \right\} \end{array} \]