在较弱的条件下,从条件过程和无条件过程两个角度讨论了乘积误差模型解的渐近性质,得到了条件过程收敛于无条件过程的充分条件,任意阶矩有限的充要条件以及外生变量与内生变量持续性的充要条件.所得到的结论不但适用于已得到应用的平稳乘积误差模型,也适用于包含单位根的乘积误差模型和满足条件的其他类型的非平稳过程.
Under general conditions the asymptotic behaviors of the conditional process and unconditonal process of multiplicative error model are investigated in this paper.We develop sufficient conditions for the convergence of conditional process to nonconditional process,necessary and sufficient conditions for the finiteness of absolute moments of any order and for the persistence of endogenous variables and exogenous variables. The results can be used in stationary multiplicative error model ,multiplicative error model with a unit root and other nonstationary processes which satisfy certain conditions.