Limit behaviour of sums of independent random variables with respect to the uniform \(p\)-adic distribution

DOI10.1016/S0167-7152(00)00158-9zbMath0974.60032OpenAlexW2077196192MaRDI QIDQ5934109

Andrei Yu. Khrennikov

Publication date: 16 December 2001

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-7152(00)00158-9

zbMATH Keywords

\(p\)-adic metric\(p\)-adic probability distributionlimit behaviourlimit theorems

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Axioms; other general questions in probability (60A05) Probability theory on algebraic and topological structures (60B99) Limit theorems in probability theory (60F99)

Related Items

Existence of \(p\)-adic quasi Gibbs measure for countable state Potts model on the Cayley tree ⋮ Large deviations for scaled sums of \(p\)-adic-valued rotation-symmetric independent and identically distributed random variables

Cites Work

• p-adic space-time and string theory
• \(p\)-adic behaviour of Bernoulli probabilities
• \(p\)-adic probability and an interpretation of negative probabilities in quantum mechanics.
• Attractors of random dynamical systems over \(p\)-adic numbers and a model of ``noisy cognitive processes.
• Representations of the Weyl group in spaces of square integrable functions with respect top-adic valued Gaussian distributions
• p -adic stochastic hidden variable model
• On the Problem of Hidden Variables in Quantum Mechanics
• The Statistical Interpretation of Quantum Mechanics
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• \(p\)-adic probability interpretation of Bell's inequality
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item