弱平穩序列 的英文怎麼說

中文拼音 [ruòpíngwěnxùliè]
弱平穩序列 英文
weakly stationary sequence
  • 弱 : Ⅰ形容詞1 （氣力小; 勢力差） weak; feeble 2 （年幼） young 3 （差; 不如） inferior 4 （接在分數或...
  • 平 : Ⅰ形容詞1 （沒有高低凹凸 不頃斜） flat; level; even; smooth 2 （高度相同; 不相上下） on the same l...
  • 穩 : 形容詞1 （穩定; 穩當） steady; stable; firm 2 （穩重） steady; staid; sedate 3 （穩妥） sure; rel...
  • 列 : Ⅰ動1 （排列） arrange; form a line; line up 2 （安排到某類事物之中） list; enter in a list Ⅱ名詞1...
  1. This paper consists of two parts : in the first part, we will discuss the prob - lem of the pth - mean, complete consistency for the estimators of a nonparamet - ric and linear model with l ~ p - mixingale errors ; in the second part, we will dis - cuss the problem of the rth - mean 、 complete consistency for the estimators of themodels above with weak stationary linear process errors and the uniformly mean consistency. to the nonparametric model y _ ni = g ( x _ ni ) + _ ni, 1 i n, let g _ n ( x ) = w _ ni ( x, w _ n1, … ? xnn ) y _ ni estimate the unknown function g ( x ). to the linear model y _ i - x _ i1 1 + … ? + x _ iq ? _ q, we use lse _ nj to estimate the unknown parametric _ j

    本篇論文主要是由兩大部分內容構成：一是關于誤差是l ~ p ?混合序列的線性回歸模型參數的最小二乘估計與非參數回歸模型未知函數的權函數估計的p ~ -階平均相合性和完全收斂性問題；另一部分是關于誤差是弱平穩線性過程的線性模型參數的最小二乘估計與非參數回歸模型未知函數的權函數估計的r ?階平均相合性和完全收斂性以及權函數估計的一致平均相合性問題。
  2. A important result is the one - orde r expression of ar ( p ) yt = dyt - 1 + e, from paralleling a high - order differential equation transformation into a one - order differential equation system, the one - order expression exposes that the ar ( p ) is only a certain more - multivariable power series process and, if a process is described as an ar ( p ), the sufficient and necessary condition is the spectrum norm a of the coefficient matrix d less than one. simplification of ar ( p ) not only brings about orthogonal f ( h ) but also provides global foretelling formula

    作者用高階微分方程化一階微分方程組的方法，獲得多元弱平穩序列p階自回歸模型的一步滑動平均表達式，證明了ar （ p ）的是一個更高維的冪級數的線性過程，從而，說明了ar （ p ）關于序列依概率成立的充要條件是：該模型更高維的冪級數的線性過程的表達式中系數矩陣d的譜范數1 。
  3. It comes up with a new notion, d - solution, which is applied to the distance estimation, by virtue of hilbert space ; furthermore, the dissertation has gained a necessary condition which is identity of minimum mean - square value in linear function classes, so that d - solution extends minimum mean - square value within the domain of nonlinear function equation or equation system ; and, the dissertation studies in detail the classical moment estimation and maximal likelihood estimation on the parameters of ar ( p ), a series of theorems in the estimation section shows the moment estimators are consistent on the ground of large samples jikewise, those distribution functions of the estimated parameters accord to maximum likelihood estimation converge gauss distribution if the white noise is gaussan

    首先，藉助hilbert空間理論，提出了距離估計的d -解，給出了d -解的必要條件，這個條件在線性函數類里即是極小二乘估計法， d -解的必要條件滿足的方程實質上將極小二乘估計法推廣到多函數及非線性函數類。再而，詳細地研究了多元弱平穩序列自回歸模型ar （ p ）的參數經典的矩的替代估計和極大似然估計，獲得矩的替代估計的一致性的結果。對基於gauss白噪聲假設多元弱平穩序列自回歸模型的均值、白噪聲的協方差陣的極大似然估計都有依分佈收斂到多元正態分佈的統計性質。
  4. This dissertation deals with how to estimate parameters of a model of multivariable weak stable auto - regression equation on time series ( marked by ar ( p ) ) and formulizes properties of them

    本文系統地研究了多元弱平穩序列自回歸模型ar （ p ）的參數估計方法及性狀。
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