ASYMPTOTIC ALGEBRAS (Asymptotic Analysis and Microlocal Analysis of PDE)
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Optimal subsampling for regression with mixed‐type predictors
Abstract Subsampling has emerged as an appealing strategy to mitigate the computational and storage challenges imposed by large datasets. Recent subsampling techniques have shown notable computational gains for data dominated by numerical predictors. However, real‐world datasets frequently contain both numerical and categorical predictors.
Jiaqing Zhu, Lin Wang, Fasheng Sun
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The distribution of the ratio of products of independent zero mean normal random variables. [PDF]
Gaunt RE, Sutcliffe HL.
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Abstract Homogeneous normalized random measures with independent increments represent a broad class of Bayesian nonparametric priors and thus are widely used. In this article, we obtain the strong law of large numbers, the central limit theorem (CLT), and the functional central limit theorem (fCLT) of such measures when the concentration parameter a ...
Junxi Zhang, Shui Feng, Yaozhong Hu
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An exact and interpretable test for detecting aging behavior in reliability and survival data. [PDF]
Nafisah IA, Kayid M.
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Extreme conditional quantile estimation for time series
Abstract We consider the estimation of an extreme conditional quantile QY(1−p|x0)$$ {Q}_Y\left(1-p|{x}_0\right) $$ for a heavy‐tailed distribution in the case of a strictly stationary time series (Xt,Yt)t∈ℤ$$ {\left({X}_t,{Y}_t\right)}_{t\in \mathbb{Z}} $$. Here, QY(·|x0)$$ {Q}_Y\left(\cdotp |{x}_0\right) $$ denotes the conditional quantile function of
Yuri Goegebeur +2 more
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Deconfounded-Debiased Estimation and Inference for High-Dimensional Mediation Analysis With Pervasive Hidden Confounders. [PDF]
Li Z, Pan L, Yu Y, Qin G, Fu B.
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Statistics of the Compression Ratio of a Variable-to-Variable Code: Exact Moments and Asymptotic Behavior. [PDF]
Merhav N.
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Wave Propagation in a Periodically Layered Medium, Taking into Account the Effect of Microstructure Size: A Tolerance Modelling Method. [PDF]
Jędrysiak J.
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