This paper considers approximations to the distribution of the least squares estimator of @a in the model @y"t = @a@y"t"-"1 + @u"t where the @u"t are independently distributed N(0, @s^2) and @y"0 is fixed. An Edgeworth approximation for this case is calculated, and compared with results for the stationary case. For |@a| > 1 and fixed @y"0, the asymptotic distribution is found in closed form; when |@a| > 1 and @y"0 = 0, an Edgeworth-type approximation is again calculated; this is compared with exact results.
MLA
Satchell, S. E.. “Approximation to the Finite Sample Distribution for Nonstable First Order Stochastic Difference Equations.” Econometrica, vol. 52, .no 5, Econometric Society, 1984, pp. 1271-1290, https://www.jstor.org/stable/1910999
Chicago
Satchell, S. E.. “Approximation to the Finite Sample Distribution for Nonstable First Order Stochastic Difference Equations.” Econometrica, 52, .no 5, (Econometric Society: 1984), 1271-1290. https://www.jstor.org/stable/1910999
APA
Satchell, S. E. (1984). Approximation to the Finite Sample Distribution for Nonstable First Order Stochastic Difference Equations. Econometrica, 52(5), 1271-1290. https://www.jstor.org/stable/1910999
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