On the rates of convergence in central limit theorems for compound random sums of independent random variables
From MaRDI portal
Publication:2019667
DOI10.1134/S1995080221020128zbMath1469.60083OpenAlexW3154620714MaRDI QIDQ2019667
Publication date: 22 April 2021
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1995080221020128
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A central limit theorem for random sums of random variables
- Asymptotic results for random sums of dependent random variables
- The generalized Trotter operator and weak convergence of dependent random variables in different probability metrics
- On the rate of approximation in the central limit theorem
- General theorems on rates of convergence in distribution of random variables I. General limit theorems
- General theorems on rates of convergence in distribution of random variables II. Applications to the stable limit laws and weak law of large numbers
- On the rate of convergence in limit theorems for random sums via Trotter-distance
- On a probability metric based on Trotter operator
- SOME RESULTS ON ASYMPTOTIC BEHAVIORS OF RANDOM SUMS OF INDEPENDENT IDENTICALLY DISTRIBUTED RANDOM VARIABLES
- Normal Approximation by Stein’s Method
- Convergence Rates in the Central Limit Theorem for Sums of a Random Number of Independent Random Variables
- A central limit theorem for sums of a random number of independent random variables
- AN EXTENSION OF RANDOM SUMMATIONS OF INDEPENDENT AND IDENTICALLY DISTRIBUTED RANDOM VARIABLES
- Advanced Calculus with Applications in Statistics
- A study of chi-square-type distribution with geometrically distributed degrees of freedom in relation to distributions of geometric random sums
- The asymptotic distribution of the sum of a random number of random variables
- Probability: A Graduate Course
- An elementary proof of the central limit theorem
This page was built for publication: On the rates of convergence in central limit theorems for compound random sums of independent random variables