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Showing 1 to 10 of 10 for “"Self-normalization"”.

  1. Statistical inference with complex datasets: from self normalization to machine learning

    Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-10-20 without embargo terms

    uiuc Repository record for Statistical inference with complex datasets: from self normalization to machine learning (opens in a new tab)

  2. Semantic modeling of the natural language of Wikipedia annotations

    … We show that the isotropy property leads to self-normalization allowing for the design of an efficient parameter estimation algorithm that we christen wiki2vec. The self-normalization property of IBOE is validated empirically on the Wikipedia corpus and is also of independent mathematical …

    uiuc Repository record for Semantic modeling of the natural language of Wikipedia annotations (opens in a new tab)

  3. Statistical inference for dependent data

    … data. Specifically, in Chapter 1, we develop a self-normalization based test to test the structural stability of temporally dependent functional observations. We propose new tests to detect the differences of the covariance operators and their associated characteristics of two functional time …

    uiuc Repository record for Statistical inference for dependent data (opens in a new tab)

  4. Photoelectron holography of metal adsorbates on semiconductor surfaces

    … effects of certain experimental variations in a self-normalization of the photoemission data. Angle resolved photoemission from a monolayer of Bi adsorbed on Si(lll) shows fine-structure oscillations in the branching ratio of the Bi 5d core level due to diffraction effects. These oscillations are …

    uiuc Repository record for Photoelectron holography of metal adsorbates on semiconductor surfaces (opens in a new tab)

  5. Statistical issues and developments in time series analysis and educational measurement

    … arbitrary tuning parameter. By adopting a self-normalization idea, we modify the subsampling procedure of Hall et al.(1998) and the resulting procedure does not require consistent variance estimation. The modi ed subsampling procedure only involves the choice of the subsampling widow width, …

    uiuc Repository record for Statistical issues and developments in time series analysis and educational measurement (opens in a new tab)

  6. Change point detection for high dimensional data and valid inference for Bayesian linear models

    … in real-time. Unlike existing work based on self-normalization, we introduce a class of estimators for $q$-norm of the covariance matrix and prove their ratio consistency. To facilitate fast computation, we further develop recursive algorithms to improve the computational efficiency of the …

    uiuc Repository record for Change point detection for high dimensional data and valid inference for Bayesian linear models (opens in a new tab)

  7. Statistical inference for high-dimensional data

    … the trimming technique and utilizing the self-normalization principle. Under the fixed-b asymptotics, where we fix the proportion of trimming parameter over the sample size, we derive the limiting distributions of our test statistic under both the null and local alternatives of a single …

    uiuc Repository record for Statistical inference for high-dimensional data (opens in a new tab)

  8. Inference of time series regression models with weakly dependent errors

    In this thesis we develop inferential methods for time series models with weakly dependent errors in the following three aspects. The first aspect concerns the issue of the size-distortion in the presence of strong temporal dependence, which is well-known in the literature. There are recently …

    uiuc Repository record for Inference of time series regression models with weakly dependent errors (opens in a new tab)

  9. Likelihood Ratio Combination of Multiple Biomarkers and Change Point Detection in Functional Time Series

    … functions. In our study, we propose a novel self-normalized test for functional time series implemented via a non-overlapping block bootstrap to circumvent reliance on FPCA. The SN factor ensures both monotonic power and adaptability for detecting diverse change functions on complex data. We …

    vt Repository record for Likelihood Ratio Combination of Multiple Biomarkers and Change Point Detection in Functional Time Series (opens in a new tab)