linear minimum variance estimation in Chinese

TranslationMobile

"linear" in Chinese : adj. 1.線的，直線的。 2.長(zhǎng)度的。 3.【數(shù)學(xué)】 ...
"minimum" in Chinese : n. (pl. minimums, -ma ) 最小，最 ...
"variance" in Chinese : n. 1.變化，變動(dòng)，變更；變度，變量；【統(tǒng)計(jì)】(平)方 ...
"estimation" in Chinese : n. 1.估計(jì)，評(píng)價(jià)。 2.預(yù)算，預(yù)算額；概算。 3.尊 ...
"minimum variance estimation" in Chinese : 最小方差估計(jì)
"minimum variance unbiased estimation" in Chinese : 最薪差不偏倚估計(jì)
"estimation of variance" in Chinese : 估計(jì)方差
"estimation variance" in Chinese : 估計(jì)方差
"linear estimation" in Chinese : 線性估計(jì)
"minimum variance" in Chinese : 最小方差; 最薪差
"estimation of population variance" in Chinese : 總體方差估計(jì)
"estimation of variance of noise" in Chinese : 噪聲方差估計(jì)
"global estimation variance" in Chinese : 整體估計(jì)方差
"improved estimation on variance" in Chinese : 矯正方差估計(jì)
"minimum distance estimation" in Chinese : 最小距離估計(jì)

For a general linear model ( input matrix is deterministic ) , under a certain conditions on variance matrix invertibility , the two estimates can be identical provided that they have the same priori information on the parameter under estimation . even if the above information is unknown only for the optimally weighted ls estimate , the sufficient condition and necessary condition , under which the two estimates are identical , is derived . more significantly , we know how to design input of the linear system to make the performance of the optimally weighted ls estimation identical to that of the linear minimum variance estimation in case of being lack of prior information
在一般線性模型(即輸入矩陣為確定性)下，當(dāng)兩種估計(jì)都利用有關(guān)被估參數(shù)的先驗(yàn)信息時(shí)，二者在方差陣可逆的一定條件下可達(dá)到一致；當(dāng)最優(yōu)加權(quán)最小二乘估計(jì)不利用此先驗(yàn)信息時(shí)，存在二者一致的充分條件和必要條件，進(jìn)而找到一種設(shè)計(jì)輸入矩陣的方法，使得在先驗(yàn)信息缺乏的條件下，仍可利用最優(yōu)加權(quán)最小二乘估計(jì)達(dá)到與線性最小方差估計(jì)一樣優(yōu)越的估計(jì)性能。

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