On estimation of limiting variance of partial sums of functions of associated random variables

- Estimators of limiting variance of partial sums are discussed.
- Estimators are based on block bootstrap methods.
- Limiting behavior of the estimators is discussed.
- As applications estimators of limiting variance of U-statistics are obtained.

We discuss three different estimators for estimating the limiting variance of partial sums of functions of associated random variables. The first two estimators are based on a Subsampling method, while the third is obtained using Circular block bootstrap. As an application, we also obtain estimators for the limiting variance for U-statistics based on stationary associated random variables.