• Daneshyari
  • Topics
    • Physical Sciences and Engineering
      Life Sciences
      Health Sciences
      Social Sciences and Humanities
Physical Sciences and Engineering Mathematics Statistics and Probability

Decidable lim sup and Borel–Cantelli-like lemmas for random sequences

Article ID Journal Published Year Pages File Type
1152068 Statistics & Probability Letters 2013 8 Pages PDF
Abstract

We prove computable versions of limsuplimsup events and Borel–Cantelli-like results for algorithmically random sequences using a coefficient from Kolmogorov complexity. In particular we show that under suitable conditions on events, limsuplimsup is layerwise decidable.

Keywords
60F1003D3268Q3060A05Compressibility coefficientKolmogorov complexity
Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
Preview
Decidable lim sup and Borel–Cantelli-like lemmas for random sequences
Authors
George Davie,
Related Articles
Geometric ergodicity of Rao and Teh’s algorithm for homogeneous Markov jump processes
A weighted simulation-based estimator for incomplete longitudinal data models
Posterior property of Student-tt linear regression model using objective priors
Estimation of extreme conditional quantiles through an extrapolation of intermediate regression quantiles
Nonparametric Bayes modeling with sample survey weights
Bin sizes in time-inhomogeneous infinite Polya processes
A note on Parisian ruin with an ultimate bankruptcy level for Lévy insurance risk processes
A random matrix from a stochastic heat equation
A characterization of the generalized Laplace distribution by constant regression on the sample mean
Bayesian inference for extreme quantiles of heavy tailed distributions
Journal
Statistics & Probability Letters
Journal: Statistics & Probability Letters
Related Categories
60F10
03D32
68Q30
60A05
Compressibility coefficient
Kolmogorov complexity
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
Related Journals
Advances in Life Course Research
Fuzzy Sets and Systems
Information Sciences
International Journal of Approximate Reasoning
Computational Statistics & Data Analysis
Fuzzy Information and Engineering
AEU - International Journal of Electronics and Communications
Performance Evaluation
Insurance: Mathematics and Economics
Journal of Econometrics
Spatial Statistics
Social Networks
Journal of the Korean Statistical Society
Journal of Multivariate Analysis
Journal of Statistical Planning and Inference
Statistical Methodology
Stochastic Processes and their Applications
Chemometrics and Intelligent Laboratory Systems
Transactions of A. Razmadze Mathematical Institute
Journal of the Nigerian Mathematical Society
Annales de l'Institut Henri Poincare (B) Probability and Statistics
Daneshyari provides fulltext access to millions of research papers.