Seasonal Unit root test
Posted: Fri May 15, 2009 5:24 am
Hello there!
I would like to known whether the way I am writing the programme for seasonal unit root test developed by Beaulieu and Miron (1993) are correct? Particularly, in the generated series section.
Genr trend = @trend
Series D12Y = D(Y,0,12)
Series Y1 = Y + Y(-1) + Y(-2) + Y(-3) + Y(-4) + Y(-5) + Y(-6) + Y(-7) + Y(-8) + Y(-9) + Y(-10) + Y(-11)
Series Y2 = - Y + Y(-1) - Y(-2) + Y(-3) - Y(-4) + Y(-5) - Y(-6) + Y(-7) - Y(-8) + Y(-9) - Y(-10) + Y(-11)
Series Y3 = - Y(-1) + y(-3) - Y(-5) + Y(-7) - Y(-9) + Y(-11)
Series Y4 = - Y + Y(-2) - Y(-4) + Y(-6) - Y(-8) + Y(-10)
Series Y5 = 0.5*(- Y - Y(-1) + 2*Y(-2) - Y(-3) - Y(-4) + 2*Y(-5) - Y(-6) - Y(-7) + 2*Y(-8) - Y(-9) - Y(-10) + 2*Y(-11))
Series Y6 = (@sqrt(3)/2)*(Y - Y(-1) + Y(-3) - Y(-4) + Y(-6) - Y(-7) + Y(-9) - Y(-10))
Series Y7 = 0.5*(Y - Y(-1) - 2*Y(-2) - Y(-3) + Y(-4) + 2*Y(-5) + Y(-6) - Y(-7) - 2*Y(-8) - Y(-9) + Y(-10) + 2*Y(-11))
Series Y8 = (@sqrt(3)/2)*(Y - Y(-1) + Y(-3) + Y(-4) - Y(-6) - Y(-7) + Y(-9) + Y(-10))
Series Y9 = 0.5*(- @sqrt(3)*Y + Y(-1) - Y(-3) + @sqrt(3)*Y(-4) - 2*Y(-5) + @sqrt(3)*Y(-6) - Y(-7) + Y(-9) - @sqrt(3)*Y(-10) + 2*Y(-11))
Series Y10 = 0.5*(Y - @sqrt(3)*Y(-1) + 2*y(-2) - @sqrt(3)*y(-3) + y(-4) - y(-6) + @sqrt(3)*y(-7) - 2*y(-8) + @sqrt(3)*y(-9) - y(-10))
Series Y11 = 0.5*(@sqrt(3)*Y + Y(-1) - Y(-3) - @sqrt(3)*Y(-4) - 2*Y(-5) - @sqrt(3)*Y(-6) - Y(-7) + Y(-9) + @sqrt(3)*Y(-10) + 2*Y(-11))
Series Y12 = 0.5*(- Y - @sqrt(3)*Y(-1) - 2*Y(-2) - @sqrt(3)*Y(-3) - y(-4) + Y(-6) + @sqrt(3)*Y(-7) + 2*y(-8) + @sqrt(3)*Y(-9) + Y(-10))
'create seasonal dummies
for !i=1 to 11
series s!i = @seas(!i) - @seas(12)
next
EQUATION EQ.LS D12Y Y1(-1) Y2(-1) Y3(-1) Y4(-1) Y5(-1) Y6(-1) Y7(-1) Y8(-1) Y9(-1) Y10(-1) Y11(-1) Y12(-1) C TREND S1 S2 S3 S4 S5 S6 S7 S8 S9 S10 S11 D12Y(-1 to -12)
Thank you,
Regards,
tcfoon
I would like to known whether the way I am writing the programme for seasonal unit root test developed by Beaulieu and Miron (1993) are correct? Particularly, in the generated series section.
Genr trend = @trend
Series D12Y = D(Y,0,12)
Series Y1 = Y + Y(-1) + Y(-2) + Y(-3) + Y(-4) + Y(-5) + Y(-6) + Y(-7) + Y(-8) + Y(-9) + Y(-10) + Y(-11)
Series Y2 = - Y + Y(-1) - Y(-2) + Y(-3) - Y(-4) + Y(-5) - Y(-6) + Y(-7) - Y(-8) + Y(-9) - Y(-10) + Y(-11)
Series Y3 = - Y(-1) + y(-3) - Y(-5) + Y(-7) - Y(-9) + Y(-11)
Series Y4 = - Y + Y(-2) - Y(-4) + Y(-6) - Y(-8) + Y(-10)
Series Y5 = 0.5*(- Y - Y(-1) + 2*Y(-2) - Y(-3) - Y(-4) + 2*Y(-5) - Y(-6) - Y(-7) + 2*Y(-8) - Y(-9) - Y(-10) + 2*Y(-11))
Series Y6 = (@sqrt(3)/2)*(Y - Y(-1) + Y(-3) - Y(-4) + Y(-6) - Y(-7) + Y(-9) - Y(-10))
Series Y7 = 0.5*(Y - Y(-1) - 2*Y(-2) - Y(-3) + Y(-4) + 2*Y(-5) + Y(-6) - Y(-7) - 2*Y(-8) - Y(-9) + Y(-10) + 2*Y(-11))
Series Y8 = (@sqrt(3)/2)*(Y - Y(-1) + Y(-3) + Y(-4) - Y(-6) - Y(-7) + Y(-9) + Y(-10))
Series Y9 = 0.5*(- @sqrt(3)*Y + Y(-1) - Y(-3) + @sqrt(3)*Y(-4) - 2*Y(-5) + @sqrt(3)*Y(-6) - Y(-7) + Y(-9) - @sqrt(3)*Y(-10) + 2*Y(-11))
Series Y10 = 0.5*(Y - @sqrt(3)*Y(-1) + 2*y(-2) - @sqrt(3)*y(-3) + y(-4) - y(-6) + @sqrt(3)*y(-7) - 2*y(-8) + @sqrt(3)*y(-9) - y(-10))
Series Y11 = 0.5*(@sqrt(3)*Y + Y(-1) - Y(-3) - @sqrt(3)*Y(-4) - 2*Y(-5) - @sqrt(3)*Y(-6) - Y(-7) + Y(-9) + @sqrt(3)*Y(-10) + 2*Y(-11))
Series Y12 = 0.5*(- Y - @sqrt(3)*Y(-1) - 2*Y(-2) - @sqrt(3)*Y(-3) - y(-4) + Y(-6) + @sqrt(3)*Y(-7) + 2*y(-8) + @sqrt(3)*Y(-9) + Y(-10))
'create seasonal dummies
for !i=1 to 11
series s!i = @seas(!i) - @seas(12)
next
EQUATION EQ.LS D12Y Y1(-1) Y2(-1) Y3(-1) Y4(-1) Y5(-1) Y6(-1) Y7(-1) Y8(-1) Y9(-1) Y10(-1) Y11(-1) Y12(-1) C TREND S1 S2 S3 S4 S5 S6 S7 S8 S9 S10 S11 D12Y(-1 to -12)
Thank you,
Regards,
tcfoon