位置：成果数据库 > 期刊 > 期刊详情页
Conditional mean convergence theorems of conditionally dependent random variables under conditions of integrability
  • ISSN号：1000-4424
  • 期刊名称：《高校应用数学学报：A辑》
  • 时间：0
  • 分类：O174.41[理学—数学;理学—基础数学] O211.5[理学—概率论与数理统计;理学—数学]
  • 作者机构：[1]Department of Statistics, Anhui University, Hefei 230601, China
  • 相关基金：Acknowledgements The authors thank Editor Lu and two anonymous referees for their constructive suggestions and comments which helped in significantly improving an earlier version of this paper. This work is supported by the National Natural Science Foundation of China （11171001, 11201001, 11426032）, the Natural Science Foundation of Anhui Province （1308085QA03, 1408085QA02）, the Science Fund for Distinguished Young Scholars of Anhui Province （1508085J06）, and Introduction Projects of Anhui University Academic and Technology Leaders.
作者： Xinghui WANG Shuhe HU[1]
关键词： 平均收敛定理, 随机变量, 条件均值, 负相关, 负相依, Conditional negatively quadrant dependent （NQD） random variable, conditional negatively associated （NA） random variable, conditional mean convergence, conditionally residual h-integrability
中文摘要：

我们给有条件地有为一连串的随机的变量的代表 r 的剩余 h-integrability 并且建立有条件的吝啬的集中有条件地，否定地，依赖、有条件地否定的象限在这 integrability 下面联系了随机的变量。这些结果概括并且改善已知的。

英文摘要：

We give the conditionally residual h-integrability with exponent r for an array of random variables and establish the conditional mean convergence of conditionally negatively quadrant dependent and conditionally negative associated random variables under this integrability. These results generalize and improve the known ones.

同期刊论文项目
统计推断理论和方法及其在生物医学、数据分析与计算等方面的应用
期刊论文 102
若干相依序列的概率极限理论和方法及其在保险与金融数学中的应用
期刊论文 89
相依数据下回归模型参数、非参数估计量的渐近性质
期刊论文 11
同项目期刊论文
Predictive power to assist phase 3 go/no go decision based on phase 2 data on a different endpoint
Predicting survival in non-small cell lung cancer by preceding tumor assessment data
常利力下带干扰的双复合Poisson风险过程的生存概率
实时采集中异常值的自动甄别与纠错方法研究
L-1-deficiency of the sample quantile estimator with respect to a kernel quantile estimator
A note on estimation of the mean residual life function with left-truncated and right-censored data
On the strong convergence and some inequalities for negatively superadditive dependent sequences
Complete Convergence for Weighted Sums and Arrays of Rowwise Extended Negatively Dependent Random Va
AANA序列的强大数定律和强收敛速度
A note on complete convergence of weighted sums for array of rowwise AANA random variables
相依函数型数据条件密度估计的渐近性质
Asymptotic Properties of Maximum Quasi-Likelihood Estimates in Generalized Linear Models with "
On Complete Convergence for Weighted Sums of rho*-Mixing Random Variables
On the strong convergence rate for weighted sums of arrays of rowwise negatively orthant dependent r
Strong convergence results for weighted sums of (rho)over-tilde-mixing random variables
Bernstein-Type Inequality for Widely Dependent Sequence and Its Application to Nonparametric Regress
Strong and Weak Convergence for Asymptotically Almost Negatively Associated Random Variables
Strong Law of Large Numbers of Partial Sums for Pairwise NQD Sequences
The Berry-Esseen bounds for kernel density estimator under dependent sample
Complete convergence and complete moment convergence for a class of random variables
Probability inequalities for END sequence and their applications
Berry-Esseen bound of sample quantiles for phi-mixing random variables
混合序列的Bernstein型不等式及其逆矩
Complete Convergence for Moving Average Process of Martingale Differences
The consistency for estimator of nonparametric regression model based on NOD errors
Some Baum-Katz type results for -mixing random variables with different distributions
Hajek-R,nyi-type inequality and strong law of large numbers for some dependent sequences
Berry-Esseen bound of sample quantiles for negatively associated sequence
Nonparametric Estimation of Volatility Function with Variable Bandwidth Parameter
Error variance estimation in semi-functional partially linear regression models
Uniform tail asymptotics for the aggregate claims with stochastic discount in the renewal risk model
Complete convergence of weighted sums for arrays of rowwise phi-mixing random variables
Variance Components Testing in ANOVA-Type Mixed Models
On the Rate of Complete Convergence for Weighted Sums of Arrays of Rowwise phi-Mixing Random Variabl
On complete convergence of weighted sums for arrays of rowwise extended negatively dependent random
Complete moment convergence for randomly weighted sums of martingale differences
Complete Consistency of the Estimator of Nonparametric Regression Models Based on (rho)over-tilde-Mi
Complete convergence for weighted sums of arrays of rowwise. (rho)over-tilde-mixing random variables
Some probability inequalities for a class of random variables and their applications
On Strong Convergence for Weighted Sums of a Class of Random Variables
Some inequalities for conditional demimartingales and conditional N-demimartingales
Asymptotic normality of conditional density estimation in the single index model for functional time
Some inequalities for demimartingales and N-demimartingales
Complete convergence for arrays of rowwise negatively orthant dependent random variables
On complete convergence for arrays of rowwise weakly dependent random variables
Attenuation of treatment effect due to measurement variability in assessment of progression-free sur
Extensions of the Borel-Cantelli lemma in general measure spaces
The Berry-Esseen bound of sample quantiles for NA sequence
Complete Convergence and Complete Moment Convergence for Martingale Difference Sequence
On complete convergence for widely orthant-dependent random variables and its applications in nonpar
On Bahadur representation for sample quantiles under alpha-mixing sequence
Nonparametric regression estimation for functional stationary ergodic data with missing at random
Exponential Inequality for (rho)over-tilde-Mixing Sequences and its Applications
Strong convergence for sequences of asymptotically almost negatively associated random variables
线性模型中回归系数和误差方差同时的经验Bayes估计及其优良性
On the Strong Consistency of M-Estimates in Linear Models for Negatively Superadditive Dependent Err
Conditional mean convergence theorems of conditionally dependent random variables under conditions o
Complete moment convergence of pairwise NQD random variables
Some results for demimartingales and N-demimartingales
On the maximal inequalities for conditional demimartingales
The Superiorities of Empirical Bayes Estimation of Variance Components in Random Effects Model
Superiority of empirical Bayes estimation of error variance in linear model
On Complete Convergence of Moving Average Process for AANA Sequence
The Berry-Esseen type bound of sample quantiles for strong mixing sequence
On Complete Convergence of Weighted Sums for Arrays of Rowwise Asymptotically Almost Negatively Asso
ND序列部分和的大偏差和强收敛性
On some maximal inequalities for demimartingales and N-demimartingales based on concave Young functi
NOD随机阵列加权和的完全收敛性
（α,β）混合序列的强极限定理（英文）
Strong Laws of Large Numbers for Weighted Sums of Ч-mixing Sequence
两样本相等性的面积统计量检验
Convergence Properties for Arrays of Rowwise φ-Mixing Random Variables
Strong Consistency of M Estimator in Linear Model for φ-mixing Samples
自然联系函数下自适应设计广义线性模型的渐近性质
The Bahadur representation of sample quantiles for weakly dependent sequences
Complete moment convergence and complete convergence for weighted sums of NSD random variables
Some probability inequalities of least squares estimator in nonlinear regression model with strong m
The consistency for the estimators of semiparametric regression model based on weakly dependent erro
END 随机变量移动平均过程的完全矩收敛性
On the Bahadur Representation of Sample Quantiles for Widely Orthant Dependent Sequences
END随机变量移动平均过程的完全矩收敛性
The strong consistency of the estimator of fixed-design regression model under negatively dependent
Strong convergence properties and strong stability for weighted sums of AANA random variables
Strong convergence properties for -mixing random variables
Complete convergence of the maximum partial sums of arrays of rowwise of AANA random variables
Conditional convergence for randomly weighted sums of random variables based on conditionally residu
Bernstein-type inequality for WOD sequence and its application to nonparametric regression models
Strong convergence results for weighted sums of -mixing random variables
(α,β)混合序列的强极限定理(英文)
Complete Convergence for Arrays of Rowwise Asymptotically Almost Negatively Associated Random Variab
Some exponential inequalities for acceptable random variables and complete convergence
Convergence Rates in the Strong Law of Large Numbers for Martingale Difference Sequences
φ混合序列的一些收敛性质
NOD随机阵列的若干强极限定理
Conditional Density Estimation in the Single Functional Index Model for alpha-Mixing Functional Data
Complete convergence for weighted sums of arrays of rowwise -mixing random variables
Almost sure convergence theorem and strong stability for weighted sums of NSD random variables
The Berry-Esséen bound of sample quantiles for NA sequence
Complete moment convergence and completeconvergence for weighted sums of NSD random variables
Moment inequalities for m-negatively associatedrandom variables and their applications
Complete consistency of the estimator of nonparametric regression models based on mixing sequences
Conditional mean convergence theorems ofconditionally dependent random variablesunder conditions of
On the strong law of large numbers for weighted sums of negatively superadditive dependent random va
Strong and weak convergence for asmmptotically almost negatively associated random variables
On strong law of large numbers and growth rate for a class of random variables
Complete Moment Convergence for Arrays of Rowwise-Mixing Random Variables
On Bahadur representation for sample quantiles under α-mixing sequence
On complete convergence for weighted sums of -mixing random variables
A note on the Berry-Esséen bound of sample quantiles for varphi-mixing sequence
A note on the inverse moment for the non negative random variables
Complete convergence for arrays of rowwise negatively superadditive-dependent random variables and i
On the rate of complete convergence for weighted sums of arrays of rowwise varphi-mixing random vari
On the Strong Convergence and Complete Convergence for Pairwise NQD Random Variables
Some maximal type inequalities for N-demimartingales and related results
The Convergence of Double-Indexed Weighted Sums of Martingale Differences and Its Application
Weak laws of large numbers for arrays of dependent random variables
On complete convergence of weighted sums under extended negative dependence
Complete convergence for weighted sums of a class of random variables
Complete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent
Exponential Inequality for rho^-Mixing Sequences and its Applications
Extensions of the Borel–Cantelli lemma in general measure spaces
On asymptotic approximation of inverse moments for a class of nonnegative random variables
On complete convergence for an extended negatively dependent sequence
On complete convergence for arrays of rowwise AANA random variables
On the strong consistency of M-estamates in linear models for negatively superadditive dependent err
Complete consistency for the estimator of nonparametric regression models based on extended negative
Exponential probability inequalities for WNOD randomvariables and their applications
Exponential probability inequality for m-END random variables and its applications
The consistency for the estimators of semiparametricregression model based on weakly dependent error
Strong laws of large numbers for weighted sums of asymptotically almost negatively associated random
Complete convergence for weighted sums of NSD random variables and its application in the EV regress
Moment inequality of the minimum for nonnegative negatively orthant dependent random variables
On the Bahadur representation of sample quantiles for widely orthant dependent sequence
On Complete Convergence for Nonstationary ？-Mixing Random Variables
END随机变量阵列加权和的完全收敛性
Some results for demimartingales andN-demimartingales
Complete consistency of the estimator of nonparametric regression model under ND sequence
Applications of the Rosenthal-type inequality for negatively superadditive dependent random variable
Complete convergence for weighted sums of LNQD random variables
Complete convergence of weighted sums for arrays of rowwise ？-mixing random variables
The consistency of the nearest neighbor estimator of the density function based on WOD samples
Complete convergence and completemoment convergence for a class of randomvariables
The Berry-Esséen bounds for kernel densityestimator under dependent sample
Chow-type maximal inequality for conditional demimartingales and its applications
NOD随机阵列的若干强极限定理
φ混合序列的一些收敛性质
Strong Laws of Large Numbers for Weighted Sums of Ч-mixing Sequence
Strong Law of Large Numbers for Array of Rowwise AANA Random Variables
END随机变量序列加权和的完全收敛性
矩条件下NA随机变量的强极限定理
On the Strong Rates of Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables
φ混合序列的完全矩收敛性
φ~混合序列加权和的强收敛性
WOD随机变量加权和的完全收敛性
武警院校指挥类“合训”学员军事素质科学评价研究
基于层次分析法和熵权法的军人心理健康评定
Strong Consistency of M Estimator in Linear Model for φ-mixing Samples
期刊信息
  • 《高校应用数学学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:浙江大学 中国工业与应用数学学会
  • 主编：林正炎 李大潜
  • 地址：杭州市玉泉浙江大学数学系
  • 邮编：310027
  • 邮箱：amjcu@zjy.edu.cn
  • 电话：0571-87951602
  • 国际标准刊号：ISSN：1000-4424
  • 国内统一刊号：ISSN：33-1110/O
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:3669