On the Baum-Katz theorem for randomly weighted sums of negatively associated random variables with general normalizing sequences and applications in some random design regression models
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Publication:6579405
DOI10.1007/s00362-023-01483-4MaRDI QIDQ6579405
Son Ta Cong, Hang Bui Khanh, Dung Le Van, Cuong Tran Manh
Publication date: 25 July 2024
Published in: Statistical Papers (Search for Journal in Brave)
complete convergencerandomly weighted sumnon parametric regression model with random designsimple linear regression model with random design
Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Strong limit theorems (60F15)
Cites Work
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- On the strong convergence for weighted sums of random variables
- A comparison theorem on moment inequalities between negatively associated and independent random variables
- Equivalent conditions of complete moment and integral convergence for a class of dependent random variables
- Negative association of random variables, with applications
- The Marcinkiewicz-Zygmund-type strong law of large numbers with general normalizing sequences
- On the strong convergence for weighted sums of negatively associated random variables
- Complete moment and integral convergence for sums of negatively associated random variables
- On the strong law of large numbers for weighted sums of random variables
- Fixed-design semiparametric regression for linear time series
- Complete moment convergence for m-ANA random variables and statistical applications
- Complete moment convergence for double-indexed randomly weighted sums and its applications
- Strong laws for randomly weighted sums of random variables and applications in the bootstrap and random design regression
- A general result on complete convergence for weighted sums of linear processes and its statistical applications
- Convergence Rates in the Law of Large Numbers
- Complete Convergence and the Law of Large Numbers
- Probability: A Graduate Course
- Fixed-design regression for linear time series
- On the strong law of large numbers
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