“…The MOSUM-SQ statistic based on OLS-residuals is defined as: (G;OLS t2' A~* R u' g' A~* M u j=l ..... T-G+ 1, where M=(IT--X(X'X )-1 X'), X=(x I ..... xr)', c=(T-k-G)/G and G denotes the fixed number of terms included in the numerator of (9), where Oj--I Oj-1/a OG+j-I/'T-G-j+I (lO) Aj = OG/j-1 IG [ 1_ OT-G-j+ l/G +j-1 OT-G-j+ l j=l ..... T-G+I. and (11) A~*=Ir-A~;j=I ..... T-G+I, as ~=M y=M u, where Y=(Yl ..... Yr)'.We first notice the following relation between MQ(G;OLS)j and the test statistic s~, introduced inWestlund (1982).…”