A non uniform bound for half-normal approximation of the number of returns to the origin of symmetric simple random walk

DOI10.1080/03610926.2017.1300286zbMath1388.60064OpenAlexW2593633489MaRDI QIDQ4638681

K. Neammanee, Tatpon Siripraparat

Publication date: 27 April 2018

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2017.1300286

zbMATH Keywords

Stein's methodsymmetric simple random walkhalf-normal distributionconcentration inequality approachnumber of returns to the originuniform and non uniform bounds

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

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Cites Work

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• Stein's method of exchangeable pairs for the Beta distribution and generalizations
• Poisson approximation for dependent trials
• New rates for exponential approximation and the theorems of Rényi and Yaglom
• Variance-gamma approximation via Stein's method
• Exponential approximation and Stein's method of exchangeable pairs
• Stein's method and the Laplace distribution
• Half-normal approximation for statistics of symmetric simple random walk
• Stein's method for the half-normal distribution with applications to limit theorems related to the simple symmetric random walk