Relative error prediction from censored data under α-mixing condition

Q4 Mathematics Theory of Stochastic Processes Pub Date : 2024-07-18 DOI:10.3842/tsp-0731915872-49
S. Khardani, W. Nefzi, C. Thabet
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Abstract

In this paper, we address the case of a randomly right-censored model when the data exhibit some kind of dependency. We build and study a new nonparametric regression estimator by using the mean squared relative error as a loss function. Under classical conditions, we establish the uniform consistency with rate and asymptotic normality of the estimator suitably normalized.
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在 α 混合条件下从有删减数据中预测相对误差
在本文中,我们讨论了当数据表现出某种依赖性时随机右删失模型的情况。我们使用均方相对误差作为损失函数,建立并研究了一种新的非参数回归估计器。在经典条件下,我们建立了估计器与率的均匀一致性和适当归一化的渐近正态性。
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Theory of Stochastic Processes
Theory of Stochastic Processes Mathematics-Applied Mathematics
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Stochastic process generated by 1-D Ising model with competing interactions Relative error prediction from censored data under α-mixing condition On the properties of multivariate isotropic Random fields on the Ball Generalized BSDEs for time inhomogeneous Lévy processes under non-deterministic Lipschitz coefficient The stochastic approximation method for semi-recursive multivariate kernel-type regression estimation
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