Strong renewal theorems and local large deviations for multivariate random walks and renewals
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Publication:2631873
DOI10.1214/19-EJP308zbMath1412.60063arXiv1807.03575OpenAlexW2842626107MaRDI QIDQ2631873
Publication date: 16 May 2019
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.03575
Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Large deviations (60F10) Renewal theory (60K05)
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Cites Work
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- Generalized Poland-Scheraga denaturation model and two-dimensional renewal processes
- Domains of attraction and regular variation in \({\mathbb{R}}^ d\)
- On the multi-dimensional renewal theorem
- Regular variation in \({\mathbb{R}}^ k\) and vector-normed domains of attraction
- Large deviations for random walks under subexponentiality: The big-jump domain
- Matrix normalized sums of independent identically distributed random vectors
- A note on conjugate \(\Pi\)-variation and a weak limit theorem for the number of renewals
- Operator-stable distributions and stable marginals
- Conjugate \(\pi\)-variation and process inversion
- A bivariate local limit theorem
- A bivariate stable characterization and domains of attraction
- One-sided local large deviation and renewal theorems in the case of infinite mean
- Pinning of a renewal on a quenched renewal
- On a multivariate strong renewal theorem
- Notes on random walks in the Cauchy domain of attraction
- Local large deviations and the strong renewal theorem
- Functional large deviations for multivariate regularly varying random walks
- New large-deviation local theorems for sums of independent and identically distributed random vectors when the limit distribution is \(\alpha\)-stable
- Random walks and Riesz kernels
- A discrete renewal theorem with infinite mean
- Affine normability of partial sums of I.I.D. random vectors: A characterization
- Regular Variation in R k
- Renewal Theorems in $R^d $
- Green's Functions for Random Walks on ZN
- DNA melting structures in the generalized Poland-Scheraga model
- The Martin Boundary for Random Walk
- An Analogue of the Renewal Theorem in Higher Dimensions
- Operator-Stable Probability Distributions on Vector Groups
- Strong Renewal Theorems with Infinite Mean
- Large deviations of sums of independent random variables
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