Precision of approximation of the generalized binomial distribution by convolutions of Poisson measures
From MaRDI portal
Publication:1094739
DOI10.1007/BF00971345zbMath0631.60019MaRDI QIDQ1094739
Publication date: 1986
Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)
Related Items (42)
Total variation asymptotics for sums of independent integer random variables ⋮ Signed Poisson approximations for Markov chains ⋮ A Pólya Approximation to the Poisson-Binomial Law ⋮ Compound Poisson approximation ⋮ Poisson perturbations ⋮ A semigroup approach to Poisson approximation with respect to the point metric ⋮ On approximation by a Poisson type convolution ⋮ Mod-\(\phi\) convergence: approximation of discrete measures and harmonic analysis on the torus ⋮ Pseudo-Poisson approximation for Markov chains ⋮ On multivariate Le Cam theorem and compound Poisson measures ⋮ Approximation by generalized measures of Poisson type ⋮ Approximation of the generalized Poisson binomial distribution: Asymptotic expansions ⋮ Asymptotic expansions in the approximation by the Poisson law ⋮ A large sample property in approximating the superposition of i.i.d. finite point processes ⋮ Compound Poisson approximations for sums of 1-dependent random variables. II ⋮ Compound Poisson approximations for sums of 1-dependent random variables. I ⋮ A Charlier-Parseval approach to Poisson approximation and its applications ⋮ Compound Poisson and signed compound Poisson approximations to the Markov binomial law ⋮ Integral additive arithmetic functions and the Poisson distribution ⋮ Lower bound estimates for discrete approximations to sums of weakly dependent random variables ⋮ On the asymptotics of locally dependent point processes ⋮ An expansion in the exponent for compound binomial approximations ⋮ Approximation of mixture of distributions ⋮ A polynomial birth-death point process approximation to the Bernoulli process ⋮ Lower-bound estimates for Poisson-type approximations ⋮ On the accuracy of Poisson approximation ⋮ Poisson type approximations for the Markov binomial distribution ⋮ Poisson approximations for sequences of random variables ⋮ Polynomial birth-death distribution approximation in the Wasserstein distance ⋮ Approximation of distributions of integral additive functions by discrete charges. I ⋮ Large deviations for integer centered Poisson approximation ⋮ On a centered Poisson approximation ⋮ When is the Conway-Maxwell-Poisson distribution infinitely divisible? ⋮ Poisson approximation ⋮ Probabilities of large deviations for the \(\chi^2\) approximation ⋮ Asymptotic expansions for generalized Poisson measures ⋮ Asymptotic estimation of the parameters of multivariate point processes. ⋮ On the stability of splitting difference schemes with respect to boundary conditions ⋮ On Hipp's compound Poisson approximations via concentration functions ⋮ Remarks on estimates in the total-variation metric ⋮ On the approximation by convolution of the generalized Poisson measure and the Gaussian distribution. I ⋮ On the accuracy of approximation of the binomial distribution by the Poisson law
Cites Work
- A note on the degree of normal approximation to the distribution function of the mean of samples from finite populations
- An approximation theorem for the Poisson binomial distribution
- Two Uniform Limit Theorems for Sums of Independent Random Variables
- Approximation der Verteilungen von Summen unabhängiger nichtnegativer ganzzahliger Zufallsgrößen durch Poissonsche Verteilungen
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Precision of approximation of the generalized binomial distribution by convolutions of Poisson measures
