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5083 5
2005-10-07
的实践后果是什么呀 好像没有多大关系吧
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2005-10-8 04:33:00

as long as the first two moment conditions on the error term hold, most of the properties of OLS technique. However, t and F test are no longer valid, or at least no exact distribution. but you can utilize CLT to have asymptotic results.

read the text!

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2005-10-8 04:35:00

as long as the first two moment conditions on the error term hold, most of the properties of OLS technique. However, t and F test are no longer valid, or at least no exact distribution. but you can utilize CLT to have asymptotic results.

read the text!

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2005-10-8 07:46:00

Thanks! But waht I'm asking is, if there is any practical consequense.

What I know is, when we appeal to large (asymptotic) sampal properties, we should use Z-test instead of t and Chi-square instead of F.

However, it seems to me that, practically few people use Z and Chi; and for most of the time, the test results of t and F are pretty close to Z and Chi. If this is the case, does that mean, the normality of error term is only a theoretial issue and we can actually ignore it in practice?

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2015-1-5 22:50:11
在样本量较小的情况下,如果扰动项不服从正太分布,那么此时被解释变量也为非正太分布,而参数估计建立在t分布的基础上构造的会存在分布的设定偏误,但当样本量较大时,参数分布会趋于正太分布,相对影响不大。
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2015-1-7 08:45:02
看一下大样本性质就知道了,大样本不需要误差项正态性假定
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