A uniform central limit theorem for dependent variables
Konrad Furmańczyk
Abstract
Open-access reader
Konrad Furmańczyk
Abstract
Open-access reader
Niemiro and Zieliński (2007) have recently obtained uniform asymptotic normality for the Bernoulli scheme. This paper concerns a similar problem. We show the uniform central limit theorem for a sequence of stationary random variables.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
Niemiro and Zieliński (2007) have recently obtained uniform asymptotic normality for the Bernoulli scheme. This paper concerns a similar problem. We show the uniform central limit theorem for a sequence of stationary random variables.
Key concepts: Central limit theorem, Uniform limit theorem, Mathematics, Bernoulli's principle, Limit (mathematics), Random variable, Sequence (biology), Asymptotic distribution