A version of the law of large numbers

Katusi Fukuyama. "A version of the law of large numbers." Colloquium Mathematicae 90.2 (2001): 295-298. <http://eudml.org/doc/283694>.

@article{KatusiFukuyama2001,
abstract = {By the method of Rio [10], for a locally square integrable periodic function f, we prove $(f(μ₁^\{t\}x) +...+ f(μₙ^\{t\}x))/n → ∫_\{0\}^\{1\}f$ for almost every x and t > 0.},
author = {Katusi Fukuyama},
journal = {Colloquium Mathematicae},
keywords = {law of large numbers; limit theorem; gap theorem},
language = {eng},
number = {2},
pages = {295-298},
title = {A version of the law of large numbers},
url = {http://eudml.org/doc/283694},
volume = {90},
year = {2001},
}

TY - JOUR
AU - Katusi Fukuyama
TI - A version of the law of large numbers
JO - Colloquium Mathematicae
PY - 2001
VL - 90
IS - 2
SP - 295
EP - 298
AB - By the method of Rio [10], for a locally square integrable periodic function f, we prove $(f(μ₁^{t}x) +...+ f(μₙ^{t}x))/n → ∫_{0}^{1}f$ for almost every x and t > 0.
LA - eng
KW - law of large numbers; limit theorem; gap theorem
UR - http://eudml.org/doc/283694
ER -