Moment inequality for \(\varphi \)-mixing sequences and its applications
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Publication:962428
DOI10.1155/2009/379743zbMath1188.60010OpenAlexW2163701074WikidataQ59219994 ScholiaQ59219994MaRDI QIDQ962428
Hu Shuhe, Yang Wenzhi, Shen Yan, Wang Xuejun
Publication date: 7 April 2010
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/227305
Hájek-Rényi-type inequality, strong law of large numbersmaximal inequality for \(\varphi\)-mixing sequences
Related Items (6)
Empirical likelihood of the distribution function in the finite point under ϕ-mixing samples ⋮ On the strong law of large numbers for weighted sums of random variables ⋮ Uniformly strong consistency and the rates of asymptotic normality for the edge frequency polygons ⋮ Testing for (in)finite moments ⋮ Maximal inequalities for some dependent sequences and their applications ⋮ Statistical inference for a heteroscedastic regression model with φ-mixing errors
Cites Work
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- On extending the Brunk-Prokhorov strong law of large numbers for martingale differences
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- A uniform central limit theorem for nonuniform \(\phi\)-mixing random fields
- Almost sure invariance principles for mixing sequences of random variables
- Weak convergence of multidimensional empirical processes for stationary \(\varphi\)-mixing processes
- On the Central Limit Theorem for $\varphi$-Mixing Arrays of Random Variables
- The invariance principle for ϕ-mixing sequences
- A General Approach to the Strong Law of Large Numbers
- A Note on Weak Convergence of Empirical Processes for Sequences of $\phi$- Mixing Random Variables
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