1) statistic self similarity process
弱自相似随机过程
1.
Those splendid characters of the Hilbert transform let the processes that taking wavelet transform after taking Hilbert transform for the statistic self similarity processes B H(t) become another processes, that firstly taking Hilbert transform for the wavelet function (t) and forming a new wavelet function ψ(t) , secondly taking the wavelet transform for B H(t).
非平稳 1/ f类分形随机过程是一类重要的弱自相似随机过程 ,其典型例子是分形布朗运动 。
2) self similar process
自相似过程
1.
In this paper we discuss fractal propertion of Sample path of multiparamenter self similar process and obtain the dimension of weak variation for a multiparameter self similar process.
讨论了多指标自相似过程的样本轨道分形性质,得到了其弱变差的维
3) self-similar process
自相似过程
1.
The author introduced the definitions of two-parameter strong Selfsimilar process and two-parameter self-similar process, and given some examples ofthis processx T heir simple propertics and marginal distributions were discussed.
定义了一类两参数强自相似过程和两参数自相似过程,给出了这种过程的一些具体例子,讨论了它们的基本性质及其边缘分布。
4) weakly stationary stochastic process
弱平稳随机过程
5) weakly continuous stochastic process
弱连续随机过程
6) self-similar random cascade
自相似随机级联
补充资料:独立增量随机过程
独立增量随机过程
tochastic process with independent increments
独立增里随机过程「劝刘巨浦c拌.义冠弓初山侧吻创如t加盆,曰n臼lts;cjl抖浦.咸nP0uecc c Ite3洲cltMuM.uP-“P啊eHll,刚』 一种随机过程(s勿比邵石cp~)X(t),对任意自然数”和所有实数O蕊:,<口,簇:2<吞2簇…蕊,。<口。,增量X(乃;)一X(‘J),…,X(刀。)一X(,。)是相互独立随机变量,独立增量随机过程称为齐次的(holll。罗11印us),如果X(:+h)一X(。),0(戊,o
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