On the rate of convergence in limit theorems for random sums via Trotter-distance

DOI10.1186/1029-242X-2013-404zbMath1295.60028WikidataQ59299294 ScholiaQ59299294MaRDI QIDQ2441886

Tran Loc Hung, Truong Thi Hong Thanh

Publication date: 28 March 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

rate of convergencelimit theoremrandom sumTrotter distance

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Rate of convergence, degree of approximation (41A25)

Related Items (3)

On the weak laws of large numbers for compound random sums of independent random variables with convergence rates ⋮ On bounds in Poisson approximation for integer-valued independent random variables ⋮ On the rates of convergence in central limit theorems for compound random sums of independent random variables

Cites Work

• The generalized Trotter operator and weak convergence of dependent random variables in different probability metrics
• SOME RESULTS ON ASYMPTOTIC BEHAVIORS OF RANDOM SUMS OF INDEPENDENT IDENTICALLY DISTRIBUTED RANDOM VARIABLES
• The asymptotic distribution of the sum of a random number of random variables
• An elementary proof of the central limit theorem

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