On the normal approximation under some condition for a differential equation of the characteristic function

DOI10.1007/s10986-016-9308-1zbMath1342.60036OpenAlexW2325416928WikidataQ115381971 ScholiaQ115381971MaRDI QIDQ282139

Jonas Kazys Sunklodas

Publication date: 12 May 2016

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-016-9308-1

zbMATH Keywords

upper boundsrandom sumsKolmogorov distancenormal approximationWasserstein distanceindependent identically distributed random variables\(L_s\) norms

Mathematics Subject Classification ID

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

Related Items (1)

On the rate of convergence in limit theorems for negative-binomial random sums

Cites Work

• On the normal approximation of a binomial random sum
• \(L_1\) bounds for asymptotic normality of random sums of independent random variables
• On the rate of convergence of \(L_p\) norms in the CLT for Poisson and gamma random variables
• On the normal approximation of a sum of a random number of independent random variables
• Some estimates of normal approximation for the distribution of a sum of a random number of independent random variables
• On the normal approximation of a negative binomial random sum
• An improvement of the Berry–Esseen inequality with applications to Poisson and mixed Poisson random sums
• New Berry-Esseen and Wasserstein bounds in the CLT for non-randomly centered random sums by probabilistic methods
• Normal Approximation by Stein’s Method
• On the Convergence Rate in the Central Limit Theorem for Weakly Dependent Random Variables
• The number of two-dimensional maxima
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the normal approximation under some condition for a differential equation of the characteristic function