漸近隨機變數 的英文怎麼說

中文拼音 [jiānjìnsuíjībiànshǔ]
漸近隨機變數 英文
asymptotically random variable
  • 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...
  • 隨 : Ⅰ動詞1 （跟; 跟隨） follow 2 （順從） comply with; adapt to 3 （任憑; 由著） let （sb do as he li...
  • 機 : machineengine
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 漸近 : [數學] [物理學] asymptotic; approximation漸近操作（法） evolutionary operation; 漸近點 asymptotic...
  • 隨機 : random stochasticrandom
  1. In order to meet the needs of recent research in applied probability, such as finance and insurance, risk theory, random walk theory, queueing theory and branching processes and so on, the concepts of heavy - tailed random variables ( or heavy - tailed distributions ) are introduced. they are one of the important objects many scholars are concerned on. on the other hand, in a risk process, the number of these heavy - tailed variables " occurrence until the time t, i. e. all kinds of counting process, is one of the important objects, which many scholars are studying

    在應用概率的許多領域，如金融保險、風險理論、隨機游動理論、排隊論、分支過程等，重尾隨機變量或重尾分佈都是重要的對象之一，另一方面，在一個風險過程中，到t時刻時，這些重尾變量出現的個數，即各種記數過程，也是人們研究的主要對象之一，本文主要對重尾分佈的控制關系與極值過程的跳時點過程的精緻漸近性進行深入的討論。
  2. 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。
  3. Asymptotically random variable

    漸近隨機變數
  4. Two conclusions about suspending control system are given in this paper : 1. the single suspending system controlled by parameter self - turning control algorithm has better performance when the mass of single point suspending system, the resistance of electromagnet and the suspending gap are variable ; 2. the single suspending system controlled by global asymptotic stability control algorithm is global asymptotic stability and can restrain the stochastic noise

    通過對採用上述控制演算法的懸浮系統的理論分析和模擬研究，主要得到了以下幾方面結論: 1 .當系統懸浮質量、電磁鐵電阻和額定間隙參數變化時，設計的參數自校正控制演算法可使系統的動態性能指標保持在設定的指標; 2 .設計的全局穩定控制演算法，能夠保證二級結構單點懸浮系統的全局漸近穩定，且對隨機噪聲干擾有一定的抑制作用。
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