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RISStrong Gaussian approximations of product-limit and quantile processes for truncated data under strong mixing
-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/...
A local limit theorem for densities of the additive component of a finite Markov Additive Process
Strong uniform consistency of kernel density estimators under a censored dependent model
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...
Gaussian approximation of suprema of empirical processes
A Note on the Smooth Estimator of the Quantile Function with Left-Truncated Data
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 ...
Asymptotic behaviors of the Lorenz curve for left truncated and dependent data
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...