Open AccessPermutation Invariant Strong Law of Large Numbers for Exchangeable Sequences
Author(s) -
Stefan Tappe
Publication year - 2021
Publication title -
journal of probability and statistics
Language(s) - English
Resource type - Journals
eISSN - 1687-9538
pISSN - 1687-952X
DOI - 10.1155/2021/3637837
Subject(s) - mathematics , permutation (music) , invariant (physics) , law of large numbers , combinatorics , random permutation , discrete mathematics , random variable , pure mathematics , statistics , symmetric group , physics , acoustics , mathematical physics
We provide a permutation invariant version of the strong law of large numbers for exchangeable sequences of random variables. The proof consists of a combination of the Komlós–Berkes theorem, the usual strong law of large numbers for exchangeable sequences, and de Finetti’s theorem.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom