Compound Poisson approximations for sums of 1-dependent random variables. II
From MaRDI portal
Publication:392753
DOI10.1007/s10986-011-9107-7zbMath1286.60028OpenAlexW4236558532MaRDI QIDQ392753
Jūratė Petrauskienė, Vydas Čekanavičius
Publication date: 15 January 2014
Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10986-011-9107-7
compound Poisson distributionlocal norm\(m\)-dependent variablessigned compound Poisson measuretotal-variation norm
Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)
Related Items (1)
Cites Work
- Compound Poisson approximations for sums of 1-dependent random variables. I
- Precision of approximation of the generalized binomial distribution by convolutions of Poisson measures
- Approximations of distributions of sums of lattice random variables. I
- On a relationship between Uspensky's theorem and Poisson approximations
- On a class of approximative computation methods in the individual risk model
- Total variation asymptotics for sums of independent integer random variables
- Non-uniform theorems for discrete measures
- Approximation of Binomial Distributions by Infinitely Divisible Ones
- On the rate of Poisson convergence
- Approximation in Variation of the Distribution of a Sum of Independent Bernoulli Variables with a Poisson Law
- A method for the derivation of limit theorems for sums of m-dependent random variables
- Poisson Approximation via the Convolution with Kornya--Presman Signed Measures
- Approximation der Verteilungen von Summen unabhängiger nichtnegativer ganzzahliger Zufallsgrößen durch Poissonsche Verteilungen
- Sharp constants in the Poisson approximation
This page was built for publication: Compound Poisson approximations for sums of 1-dependent random variables. II
