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The estimation of Remaining Useful Life (RUL) plays a pivotal role in intelligent manufacturing systems and Industry 4.0 technologies. While recent advancements have improved RUL prediction, many models still face interpretability and…

机器学习 · 计算机科学 2024-11-26 Tian Niu , Zijun Xu , Heng Luo , Ziqing Zhou

It is standard practice for covariates to enter a parametric model through a single distributional parameter of interest, for example, the scale parameter in many standard survival models. Indeed, the well-known proportional hazards model…

统计方法学 · 统计学 2020-08-10 Kevin Burke , Gilbert MacKenzie

Estimation of crossed random effects models commonly requires computational costs that grow faster than linearly in the sample size $N$, often as fast as $\Omega(N^{3/2})$, making them unsuitable for large data sets. For non-Gaussian…

统计方法学 · 统计学 2025-05-01 Ruggero Bellio , Swarnadip Ghosh , Art B. Owen , Cristiano Varin

In paired randomized experiments individuals in a given matched pair may differ on prognostically important covariates despite the best efforts of practitioners. We examine the use of regression adjustment as a way to correct for persistent…

统计方法学 · 统计学 2017-11-27 Colin B. Fogarty

Statistical models incorporating change points are common in practice, especially in the area of biomedicine. This approach is appealing in that a specific parameter is introduced to account for the abrupt change in the response variable…

统计理论 · 数学 2008-12-18 Hongling Zhou , Kung-Yee Liang

One of the most common ways researchers compare survival outcomes across treatments when confounding is present is using Cox regression. This model is limited by its underlying assumption of proportional hazards; in some cases, substantial…

应用统计 · 统计学 2021-02-02 Elizabeth A. Handorf , Marc Smaldone , Sujana Movva , Nandita Mitra

We investigate the complexity of logistic regression models which is defined by counting the number of indistinguishable distributions that the model can represent (Balasubramanian, 1997). We find that the complexity of logistic models with…

机器学习 · 统计学 2019-03-04 Nicola Bulso , Matteo Marsili , Yasser Roudi

In two-way contingency tables under an asymmetric situation, where the row and column variables are defined as explanatory and response variables, respectively, quantifying the extent to which the explanatory variable contributes to…

统计方法学 · 统计学 2026-04-17 Wataru Urasaki , Kouji Tahata , Sadao Tomizawa

This work proposes a statistical model for crossover trials with multiple skewed responses measured in each period. A 3 $\times$ 3 crossover trial data where different drug doses were administered to subjects with a history of seasonal…

统计方法学 · 统计学 2026-04-09 Savita Pareek , Kalyan Das , Siuli Mukhopadhyay

Logistic regression is the most commonly used method for constructing predictive models for binary responses. One significant drawback to this approach, however, is that the asymptotes of the logistic response function are fixed at 0 and 1,…

统计方法学 · 统计学 2026-02-09 Anthony Almudevar , Jacob Almudevar

The likelihood ratio is a crucial quantity for statistical inference in science that enables hypothesis testing, construction of confidence intervals, reweighting of distributions, and more. Many modern scientific applications, however,…

高能物理 - 唯象学 · 物理学 2024-12-11 Shahzar Rizvi , Mariel Pettee , Benjamin Nachman

In epidemiological cohort studies, the relative risk (also known as risk ratio) is a major measure of association to summarize the results of two treatments or exposures. Generally, it measures the relative change in disease risk as a…

统计方法学 · 统计学 2022-07-05 Gopal Nath , Krishna K. Saha , Suojin Wang

The application of machine learning models can be significantly impeded by the occurrence of distributional shifts, as the assumption of homogeneity between the population of training and testing samples in machine learning and statistics…

机器学习 · 统计学 2023-06-06 Wenlu Tang , Zicheng Liu

We consider a lognormal diffusion process having a multisigmoidal logistic mean, useful to model the evolution of a population which reaches the maximum level of the growth after many stages. Referring to the problem of statistical…

The output of predictive models is routinely recalibrated by reconciling low-level predictions with known derived quantities defined at higher levels of aggregation. For example, models predicting turnout probabilities at the individual…

统计方法学 · 统计学 2021-12-14 Evan T. R. Rosenman , Santiago Olivella

We deal with a general class of extreme-value regression models introduced by Barreto- Souza and Vasconcellos (2011). Our goal is to derive an adjusted likelihood ratio statistic that is approximately distributed as \c{hi}2 with a high…

统计理论 · 数学 2012-08-14 Silvia L. P. Ferrari , Eliane C. Pinheiro

In this paper we consider a group sequentially monitored trial on a survival endpoint, monitored using a weighted log-rank (WLR) statistic with deterministic weight function. We introduce a summary statistic in the form of a weighted…

统计方法学 · 统计学 2017-11-30 Grant Izmirlian

In this paper we apply divergence measures to empirical likelihood applied to logistic regression models. We define a family of empirical test statistics based on divergence measures, called empirical phi-divergence test statistics,…

统计理论 · 数学 2021-12-06 A. Felipe , P. Garcia-Segador , N. Martin , P. Miranda , L. Pardo

The analysis of survey data is a frequently arising issue in clinical trials, particularly when capturing quantities which are difficult to measure. Typical examples are questionnaires about patient's well-being, pain, or consent to an…

统计方法学 · 统计学 2024-01-31 Johannes Wieditz , Clemens Miller , Jan Scholand , Marcus Nemeth

Partial least squares (PLS) regression combines dimensionality reduction and prediction using a latent variable model. Since partial least squares regression (PLS-R) does not require matrix inversion or diagonalization, it can be applied to…

统计方法学 · 统计学 2014-08-05 Tzu-Yu Liu , Laura Trinchera , Arthur Tenenhaus , Dennis Wei , Alfred O. Hero
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