漸近收斂速度 的英文怎麼說

中文拼音 [jiānjìnshōuliǎnsùdù]
漸近收斂速度 英文
asymptotic rate of convergence
  • 漸 : 漸副詞（逐步; 漸漸） gradually; by degrees
  • 近 : Ⅰ形容詞1 （空間或時間距離短） near; close 2 （接近） approaching; approximately; close to 3 （親...
  • 收 : Ⅰ動詞1 （把攤開的或分散的事物聚集、合攏） put away; take in 2 （收取） collect 3 （收割） harvest...
  • 斂 : Ⅰ動詞1 （收起; 收住） hold back; keep back 2 （約束） restrain 3 （收集; 徵收） gather; collect; ...
  • 速 : Ⅰ形容詞（迅速; 快） fast; rapid; quick; speedy Ⅱ名詞1 （速度） speed; velocity 2 （姓氏） a surna...
  • 度 : 度動詞[書面語] （推測; 估計） surmise; estimate
  • 漸近 : [數學] [物理學] asymptotic; approximation漸近操作（法） evolutionary operation; 漸近點 asymptotic...
  • 收斂 : 1 （減弱或消失） weaken or disappear 2 （約束言行） restrain oneself 3 [數學] convergence; constr...
  • 速度 : 1. [物理學] velocity; speed; blast; bat 2. [音樂] tempo3. （快慢的程度） speed; rate; pace; tempo
  1. On the other hand, they play an important role in the theories of esfimation for regression function. in this paper, we mainly get the large sample properties for partitioning estiona - tion and modified its estimation. for example, we proved their asymptolic normaity under nuture conditions by means of mortingle theory ; we also get their strong consistency for regression function under censored samples ; and finaly we genearzed the result to dependence sample and have strong consistency for the modified partitioning estimation of regression function

    因此本論文研究了回歸函數基於分割估計及改良基於分割估計的大樣本性質，利用鞅的有關理論，在比較自然的條件下，證明了其漸近正態性；首次構造了截尾樣本的回歸函數基於分割估計及改良基於分割估計，並證明其強相合性；同時把有關結果推廣到相依樣本下（如混合） ，獲得了改良基於分割估計的強相合性及收斂速度。
  2. In this paper, we give a kernel shape estimation of m ( x ) using variable bandwidth local linear refression approch, and discuss the asymptotic normality, the convergence rate of mean square and convergence rate with probability

    本文對上述模型，利用變窗寬局部線性回歸方法，給出了m （ x ）的核形估計，並討論了這一估計的漸近正態性、依概率收斂速度、和均方收斂速度。
  3. Multi - channel deconvolution, based on multi - channel signal analysis, is presented to recover receiver function from three - component teleseismic p waveforms clustered within certain backazimuth and epicenter distance, to increase the resolution of receiver function. wavelet inversion is also introduced to broadband receiver function, to solve for nonuniqueness cased by linear approximation of nonlinear problem, and broadband receiver function is decomposed into multi - resolution versions, and the inversion result for the low - resolution version is iteratively taken as the initial model for the high - resolution, and gradually obtain the inversion model for broadband receiver function

    為克服廣義線性反演對初始模型的依賴性，並保持其快速收斂的特點，本文首次將小波變換引入到接收函數波形反演，將接收函數分解到不同的分辨尺度上，分別進行廣義線性反演，並將低解析度的反演結果作為高解析度反演的初始模型，漸近地獲取寬頻帶接收函數的模型，克服了非線性問題線性化帶來的非唯一性。
  4. 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。
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