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Ruthlessbaby · 2018年12月21日

问一道题:NO.PZ201709270100000502 第2小题 [ CFA II ]

* 问题详情,请 查看题干

问题如下图:

选项:

A.

B.

C.

解释:

时间序列天然的是残差均值为0且残差稳定吗?题目里没有说呀,为什么答案直接说残差的方差存在且稳定

1 个答案

菲菲_品职助教 · 2018年12月29日

同学你好,本题实质上是在考察协方差平稳的三个条件。

我们需要先通过表1的结果进行判断,b0和b1都是等于0的,并且残值的自相关系数也都是等于0的。所以方程被简化为yt=εt,这个方程是满足协方差平稳的三个条件的,所以选择协方差平稳。

再来看你的问题,你说题目并没有告知残差的这些条件,即如何判断“yt=εt,这个方程是满足协方差平稳的三个条件的”。这个其实老师在上课的时候也给我们讲解过。

由回归分析的假设我们可以知道,残差项的均值为0,方差为同方差,即constant,以及第三条,残差项是不相关的,那么他们的协方差也是等于0的。所以就满足了协方差平稳的三个条件。

所以这道题考的比较综合,又考了协方差平稳的条件,又考了回归分析的假设。确实是一道比较灵活的题目。

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