Limiting behaviour for arrays of rowwise widely orthant dependent random variables under conditions of R − h-integrability and its applications
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Publication:5087033
DOI10.1080/17442508.2018.1563605zbMath1495.60014OpenAlexW2907889314MaRDI QIDQ5087033
Andrei I. Volodin, Manuel Ordóñez Cabrera, Yi Wu, Tien-Chung Hu, Xue-jun Wang
Publication date: 8 July 2022
Published in: Stochastics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17442508.2018.1563605
complete convergencecomplete moment convergencenonparametric regression model\(L^r\) convergencewidely orthant dependent random variablescomplete consistency\(R\)-\(h\)-integrability
Nonparametric estimation (62G05) Central limit and other weak theorems (60F05) Strong limit theorems (60F15) (L^p)-limit theorems (60F25)
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Cites Work
- The consistency for estimator of nonparametric regression model based on NOD errors
- Uniform asymptotics of the finite-time ruin probability for all times
- Basic renewal theorems for random walks with widely dependent increments
- Complete and complete moment convergence for weighted sums of widely orthant dependent random variables
- Consistent nonparametric multiple regression for dependent heterogeneous processes: the fixed design case
- Mean convergence theorems for weighted sums of arrays of residually \(h\)-integrable random variables concerning the weights under dependence assumptions
- Precise large deviations for dependent random variables with heavy tails
- Consistent regression estimation with fixed design points under dependence conditions
- Fixed design regression for time series: Asymptotic normality
- Consistent nonparametric regression. Discussion
- Negative association of random variables, with applications
- Asymptotic lower bounds of precise large deviations with nonnegative and dependent random variables
- Uniform asymptotics for the finite-time ruin probabilities of two kinds of nonstandard bidimensional risk models
- Uniform asymptotics for the finite-time ruin probability of a dependent risk model with a constant interest rate
- Bernstein-type inequality for widely dependent sequence and its application to nonparametric regression models
- Applications of the Rosenthal-type inequality for negatively superadditive dependent random variables
- Complete convergence and complete moment convergence for martingale difference sequence
- Complete moment convergence for randomly weighted sums of martingale differences
- Complete moment convergence for i.i.d. random variables
- On complete convergence for widely orthant-dependent random variables and its applications in nonparametric regression models
- Asymptotic properties for estimates of nonparametric regression models based on negatively associated sequences
- Conditional convergence for randomly weighted sums of random variables based on conditional residual \(h\)-integrability
- Weak laws of large numbers for arrays of dependent random variables
- On asymptotic approximation of inverse moments for a class of nonnegative random variables
- On the Bahadur representation of sample quantiles for widely orthant dependent sequences
- Complete consistency for the estimator of nonparametric regression models based on extended negatively dependent errors
- Limiting behaviour for arrays of row-wise END random variables under conditions of h-integrability
- WEAK LAWS OF LARGE NUMBERS FOR ARRAYS UNDER A CONDITION OF UNIFORM INTEGRABILITY
- Some Concepts of Dependence
- Complete Convergence and the Law of Large Numbers
- Fixed-design regression for linear time series
- Fixed-design regression for linear time series
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