相乘性質 的英文怎麼說
中文拼音 [xiāngchéngxìngzhí]
相乘性質
英文
multiplication property-
Then discusses its properties, such as biased property, relative efficiency of generalized variance and superiority comparisons between generalized ridge estimation and generalized least squares estimation. shows iterative algorithm based on the mean dispersion error
該估計雖然具有偏崎，但其估計精度具有良好的性質，如：有偏性、方差一致最優性、相對于廣義最小二乘估計的廣義方差效率、 mde ? ?有效性等。We select ni / cr alloy resistor as element together with ceramic embedding hearth ; select small flat - and - disc heat - even hubby ceramic sample holder, select ni / cr & ni / si thermoelectric couple ( type k ) as thermoscope with threads 0. 5 mm in diameter which is installed in the middle of the holders symmetrically ; select aluminum silicate fire - retardant fiber as materials for heat preservation ; design some hardware, for example temperature controller & transporter, signal amplifier etc ; design controlling curve to heat stove ; and introduce the method of least squares nonlinear regression and subsection function to deal with data. in order to obtain the reasonable operation conditions and operation curve, we have also done many theory analysis and experiment discussions
通過理論和試驗探討，選用鎳鉻合金電阻絲作為加熱元件，配以陶瓷質埋入式爐膛；選用陶瓷質小尺寸扁平?圓盤均熱塊體型樣品支持器；選用0 . 5mm絲徑鎳鉻?鎳硅熱電偶（ k ）作為測溫元件；熱電偶對稱安置在樣品支持器容器的中部；選用硅酸鋁耐火纖維作保溫材料；合理選用和設計了溫度控制器、溫度變送器、信號放大電路等硬體；採用升溫曲線來控制爐膛供熱過程；採用最小二乘法非線性回歸與分段函數相結合的曲線模擬方法，進行圖形處理。We make the following assumption for when 2 is positive definite matrix, different estimators about matrix of regression coefficients and inefficiency of least squares estimate have been discussed in many documents. considered 2 is nonnegative definite matrix, this thesis derives best linear unbiased estimate of parameter matrix b and estimable parameter function kbl under the meaning of matrix nonnegative definite and the property of maximum probability of blue is investigated. next, we discuss some necessary and sufficient conditions of the equality of the lse and blue, then we derive the estimation of the deviation bet - ween the least squares and the best linear unbias estimators of the mean matrix, meanwhile a relative efficiency of lse ofb is proposed and its bound is given
當0時，眾多文獻討論了回歸系數陣的各種估計及lse的有效性，本文考慮了當0的情形，給出了回歸系數陣b及其可估參數函數kbl的在矩陣非負定意義下的最優估計（ blue ） ，研究了它的一個最大概率性質，並且討論了最小二乘估計成為最佳線性無偏估計的充分必要條件，在此基礎上給出了均值矩陣的最小二乘估計與blue的偏差估計，定義了lse相對于blue的一個相對效率，並給出了它的界。But in more situations the random variables generating counting processes may not independent identically distributed, and in all kinds of dependent relations, negative association ( na ) and positive association ( pa ) are commonly seen. the research and apply in this aspect are rather valuable. in chap 2 we prove wald inequalities and fundamental renewal theorems of renewal counting processes generated by na sequences and pa sequences ; in chap 3 we are enlightened by cheng and wang [ 8 ], extend some results in gut and steinebach [ 7 ], obtain the precise asymptotics for renewal counting processes and depict the convergence rate and limit value of renewal counting processes precisely ; at last, in the study of na sequences, su, zhao and wang ( 1996 ) [ 9 ], lin ( 1997 ) [ 10 ] have proved the weak convergence for partial sums of stong stationary na sequences. however product sums are the generalization of partial sums and also the special condition of more general u - statistic
但在更多的場合中，構成計數過程的隨機變量未必相互獨立，而在各種相依關系中，負相協（ na ）和正相協（ pa ）是頗為常見的關系，這方面的研究和應用也是頗有價值的，本文的第二章證明了na列和pa列構成的更新計數過程的wald不等式和基本更新定理的一些初步結果；本文的第三章則是受到cheng和wang [ 8 ]的啟發，推廣了gut和steinebach [ 7 ] ）中的一些結論，從而得到了更新計數過程在一般吸引場下的精緻漸近性，對更新計數過程的收斂速度及極限狀態進行精緻的刻畫；最後，在有關na列的研究中，蘇淳，趙林成和王岳寶（ 1996 ） 》 [ 9 ] ，林正炎（ 1997 ） [ 10 ]已經證明了強平穩na列的部分和過程的弱收斂性，而乘積和是部分和的一般化，也是更一般的u統計量的特況，它與部分和有許多密切的聯系又有一些實質性的區別，因此，本文的第四章就將討論強平穩na列的乘積和過程的弱收斂性，因為計數過程也是一種部分和，也可以構成乘積和，這個結果為研究計數過程的弱收斂性作了一些準備。分享友人