Precise asymptotics for a series of T. L. Lai

DOI10.1090/S0002-9939-04-07524-0zbMath1042.60013OpenAlexW2106748095MaRDI QIDQ4813770

Aurel Spătaru

Publication date: 13 August 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-04-07524-0

zbMATH Keywords

moderate deviationstail probabilities of sums of independent identically distributed random variablesLai law

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Related Items (14)

Precise asymptotics in the law of the logarithm for random fields in Hilbert space ⋮ Precise asymptotics of weighted sequences and their applications ⋮ A kind of complete moment convergence for self-normalized sums ⋮ Asymptotic property for some series of probability ⋮ Asymptotics related to a series of T.L. Lai ⋮ A kind of complete moment convergence for sums of independent and nonidentically distributed random variables ⋮ Precise asymptotics for complete moment convergence of \(U\)-statistics of i.i.d. random variables ⋮ A general pattern of asymptotic behavior of the \(R/S\) statistics for linear processes ⋮ A converse to precise asymptotic results ⋮ A general law of complete moment convergence for self-normalized sums ⋮ Uniform bounds in normal approximation under negatively associated random fields ⋮ Precise asymptotics in the law of logarithm under dependence assumptions ⋮ Dynamic Pricing with Multiple Products and Partially Specified Demand Distribution ⋮ Exact rates in complete moment convergence of self-normalized sums for multidimensionally indexed random variables

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