[問題] OLS 與 GLS

看板Statistics作者 (飛~)時間15年前 (2009/05/14 12:15), 編輯推噓1(108)
留言9則, 1人參與, 最新討論串1/1
我有個問題一直困擾很久,就是OLS跟GLS的差別在哪裡呢?我是知道當用OLS估計的結果 如果不具效率的話要改用GLS啦,但除此之外,有沒有分線性模型只能用OLS估計,非線 性模型要用GLS這樣的分別呢? -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 118.169.230.211

07/07 13:55, , 1F
simply put, one could apply GLS while the problem of
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heteoskedastic errors occur, so that we want to find
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07/07 13:56, , 3F
a nonsingular and squared matrix to transform the data
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07/07 13:56, , 4F
However, GLS is often unable to applied because we do
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07/07 13:57, , 5F
not know what Var(y) is (so does the transformed M).
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07/07 13:57, , 6F
Hence, we use FGLS instead. But another problem is
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that FGLS often doesn't have the nice properties in
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07/07 13:58, , 8F
finite sample and could be a less efficient estimator
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07/07 13:58, , 9F
than OLS.
07/07 13:58, 9F
文章代碼(AID): #1A2vhD5s (Statistics)