1) consistence inr-th order mean
r阶均方相合性
1.
On the basis of improving a lemma brought up by Parzen,given the consistence and uniform consistence inr-th order mean of kernel density estimation under embeded data.
密度核估计是一种具有广泛应用领域的非参数统计方法,在Parzen给出的一个基本引理的基础上,给出嵌套数据结构下密度核估计的r阶均方相合性及一致均方相合性。
2) the uniform consistence inr-th order mean
一致r阶均方相合性
4) uniformed consistency in r thmean
一致r阶平均相合性
5) r-thmean consistencey
r阶平均相合
1.
Considered Semiparametric regression model ,We use the least squares and usual nonparametric method to define the estimates βn and gn for β and g and obtain its r-thmean consistencey under suitable condition.
设半参数回归模型Y_i~(n)=β·x_i~(n)+g(t_i~(n))+ε_i~(n),i=1,2,…,n,本文综合最小二乘法和一般非参数估计方法,定义了β,g(t)的估计量β_n,g_n(t),在误差为某些相依序列时,得到了β_n,g_n(t)的r阶平均相合性。
6) square consistency
均方相合性
1.
As the error is a sequence of NA for the nonlinear regression model Y_(ni)=g(x_(ni))+ε_(ni),(1≤i≤n),and the linear regression model y_i=x_(i1)β_1+…+x_(ip)β_p+ε_i, i=1,2,…,n,the square consistency of a class of estimators is obtained.
考虑固定设计下的非线性回归模型Yni=g(xni)+εni,1≤i≤n,以及线性回归模型yi=xi1β1+…+xipβp+εi,i=1,2,…,n,当误差为NA序列时,获得了一类估计的均方相合性。
2.
In this paper,we obtain square consistency and uniform square consistency for regression model with linear time series error.
对于回归模型 Yni =g(xni) +εni,1≤i≤n ,g为未知函数 ,εni 为随机误差 ,用gn(x) =∑ni=1Wni(x,xn1 ,… ,xnn)Yni 估计g(x) ,在误差是一个弱平稳线性过程时 ,获得了gn(x)的均方相合性及一致均方相合性。
补充资料:连续性与非连续性(见间断性与不间断性)
连续性与非连续性(见间断性与不间断性)
continuity and discontinuity
11an父ux泊g四f“山。麻以角g、.连续性与非连续性(c。nt,n琳t:nuity一)_见间断性与不间断性。and diseo红ti-
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参考词条