asymptotics 中文意思是什麼

In the last section of this chapter section 2. 4, we ' ll apply the dominant relations in the closure of sums ; in chap 3, we ' ll discuss the precise asymptotics

4節給出了上述控制關系在和的分佈的封閉性等方面的初步應用；在第三章我們將對精緻漸近性問題進行研究。

Problem set 2 : continuum approximations of non - stationary random walks, random walk in a harmonic well, steps with fat tails, saddle - point asymptotics

問題2 ：非穩定型隨機漫步的連續極限，具調合井的隨機漫步，具備巨大尾部的漫步，鞍點近似解。

Problem set 3 : asymptotics of percentile order statistics, non - reversing random walk, self - trapping random walk, self - avoiding random walk

問題3 ：有序統計百分數的近似、非可逆隨機漫步、自已誘捕隨機漫步、自已避免隨機漫步。

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。

In the paper, asymptotics of based on a depth function reweighted estimators of multivariate location and scatter are discussed

摘要討論了基於深度函數的再加權估計的收斂性問題，得到以常見的深度函數為權數得到的再加權估計都是收斂的。

Remark on the asymptotics of solutions to the time - dependent cahn - hilliard equation

方程解的漸近行為的注記

Asymptotics of coefficient polynomials of cubic hermite - pad approximation to e - x

逼近系數多項式的漸近估計

Oscillatory and asymptotics for certain second order elliptic differential equations

某些二階橢圓型方程的振動性和漸近性

At last, in section 3. 3, we ' ll emphasize on the precise asymptotics for the point process of the jump times of an extremal process

3節給出極值過程的跳時點過程的精緻漸近性的定理及推論。

We ' ll introduce some definitions and some previous results in section 3. 1, and introduce the precise asymptotics for the counting process of record times of i. i. d

我們將在3 1節介紹一些定義及已有的結果，在3

Problem set 5 : shape of the limiting distribution for unbiased, subdiffusive ctrw ; mean escape time from a symmetric potential well, low temperature asymptotics

問題5 ：不偏的次ctrw極限公布的形狀；從對稱型勢位能逃脫平均時間，低溫盡近似。