Renorming divergent perpetuities
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Publication:638760
DOI10.3150/10-BEJ297zbMath1232.60017arXiv1107.2753OpenAlexW3105968362MaRDI QIDQ638760
Jacek Wesołowski, Pawel Hitczenko
Publication date: 14 September 2011
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1107.2753
Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Implicit renewal theory and tails of solutions of random equations
- On distributional properties of perpetuities
- Perpetuities with thin tails revisited
- Extremes and related properties of random sequences and processes
- Random difference equations and renewal theory for products of random matrices
- Regular variation in the tail behaviour of solutions of random difference equations
- Limit distributions for products of sums.
- Asymptotics for products of sums and \(U\)-statistics
- A note on the invariance principle of the product of sums of random variables
- On a stochastic difference equation and a representation of non–negative infinitely divisible random variables
- SOME PROPERTIES OF A RANDOM LINEAR DIFFERENCE EQUATION1
- Bursting Oscillations Induced by Small Noise
- On the Continuity of the Distribution of a Sum of Dependent Variables Connected with Independent Walks on Lines
- Hoare's Selection Algorithm: A Markov Chain Approach
- Limit laws for a stochastic process and random recursion arising in probabilistic modelling
- Perpetuities with thin tails
- Perpetuities and asymptotic change-point analysis
