-limit estimator under the same model.

Simultaneous strong Gaussian approximations of the product-limit process and normed

product-limit quantile process are constructed with rate O..log n/...

by the kernel method is considered, when

censored data show some kind of dependence. We apply the strong Gaussian approximation

technique for studying the strong uniform consistency for kernel estimators of the

density function under a...

This note focuses on estimating the quantile function based on the kernel smooth estimator under a truncated dependent model. The Bahadurtype representation of the kernel smooth estimator is established, and from the Bahadur ...

that nonparametric estimator of the Lorenz curve is uniformly strongly consistent for the associated Lorenz curve. Also, a strong Gaussian approximation for the associated Lorenz process is established under appropriate assumptions. Using this strong Gaussian...

Lorenz curve and Gini

index. Strong Gaussian approximations for the associated Lorenz process are established

under appropriate assumptions. We apply the strong Gaussian approximation technique

to obtain a functional law...

-limit estimator

under the same model. Simultaneous strong Gaussian approximations of the

product-limit process and product-limit quantile process are constructed with rate

O log n − for some > 0. The strong Gaussian approximation...

In this paper, we consider the kernel-type estimator of the quantile function based on the

kernel smoother under a censored dependent model. The Bahadur-type representation of

the kernel smooth estimator is ...