On the rate of convergence in the local limit theorem for densities

DOI10.1007/BF02432864zbMath0912.60044OpenAlexW2073595546MaRDI QIDQ1273364

V. Yu. Korolev, Yu. V. Zhukov

Publication date: 9 December 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02432864

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) (L^p)-limit theorems (60F25)

Related Items (6)

A local limit theorem for densities of the additive component of a finite Markov additive process ⋮ On convergence rate in the local limit theorem for densities under various moment conditions ⋮ Asymptotic expansion for the distribution density function of the compound Poisson process in large deviations ⋮ On convergence rate in the local limit theorem for densities ⋮ Topologically induced metastability in a periodic XY chain ⋮ Convergence rate estimates in local limit theorems for Poisson random sums

Cites Work

• Lower and upper bounds for characteristic functions
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