Sg. Cecchetti et Ps. Lam, VARIANCE-RATIO TESTS - SMALL-SAMPLE PROPERTIES WITH AN APPLICATION TOINTERNATIONAL OUTPUT DATA, Journal of business & economic statistics, 12(2), 1994, pp. 177-186
Two aspects of statistical inference using variance-ratio statistics a
re studied, (1) the accuracy of asymptotic approximations in small sam
ples and (2) the size distortion arising from searching over many hori
zons in deciding whether to reject a model. A joint test combining var
iance-ratio statistics at various horizons is proposed, and a Monte Ca
rlo procedure for conducting exact inference is provided. The real out
put data of nine countries are used to discuss these issues.