On variational bounds in the compound Poisson approximation of the individual risk model
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Publication:882462
DOI10.1016/j.insmatheco.2006.06.003zbMath1183.91075OpenAlexW2144940752MaRDI QIDQ882462
Publication date: 23 May 2007
Published in: Insurance Mathematics \& Economics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.insmatheco.2006.06.003
compound Poisson approximationindividual risk modeltotal variation distancemagic factorssigned Kornya-Presman measures
Related Items (6)
Compound Poisson approximation ⋮ Approximation of symmetric three-state Markov chain by compound Poisson law ⋮ Compound Poisson approximations for symmetric vectors ⋮ A Charlier-Parseval approach to Poisson approximation and its applications ⋮ Refined total variation bounds in the multivariate and compound Poisson approximation ⋮ Asymptotics for the sum of three state Markov dependent random variables
Cites Work
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- Error bounds for the compound Poisson approximation
- Approximation of aggregate claims distributions by compound Poisson distributions
- Approximation of the generalized Poisson binomial distribution: Asymptotic expansions
- Kerstan's method for compound Poisson approximation.
- On Hipp's compound Poisson approximations via concentration functions
- An approximation theorem for the Poisson binomial distribution
- Approximation of Binomial Distributions by Infinitely Divisible Ones
- On the rate of Poisson convergence
- On the Accuracy of Approximation of Distributions of Sums of Independent Random Variables—Which are Nonzero with a Small Probability—By Means of Accompanying Laws
- Estimates in Total Variation for Convolutions of Compound Distributions
- Kerstan's Method in the Multivariate Poisson Approximation: An Expansion in the Exponent
- Multidimensional Version of the Second Uniform Limit Theorem of Kolmogorov
- A Functional Approach to Approximations for the Individual Risk Model
- Verallgemeinerung eines Satzes von Prochorow und Le Cam
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