1984
DOI: 10.1007/bf00156459
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Sequential moving sums of squares of OLS residuals in parameter stability testing

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Cited by 6 publications
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“…where yt is the observation on the dependent variable, xt is a (k x 1) vector of fixed observations on the independent variables, ut is a stochastic disturbance, and fit is (k x 1) vector of parameters, which may, or may not, vary with time (Westlund, 1982).…”
Section: The Methodologymentioning
confidence: 99%
See 1 more Smart Citation
“…where yt is the observation on the dependent variable, xt is a (k x 1) vector of fixed observations on the independent variables, ut is a stochastic disturbance, and fit is (k x 1) vector of parameters, which may, or may not, vary with time (Westlund, 1982).…”
Section: The Methodologymentioning
confidence: 99%
“…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).…”
mentioning
confidence: 99%