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In the study of heavy tail data, several models have been introduced. If the interest is in the tail of the distribution, block maxima or excess over thresholds are the typical approaches, wasting relevant information in the bulk of the…

Methodology · Statistics 2026-02-10 Luis E. Nieto-Barajas

Diffusion models have emerged as powerful generative frameworks with widespread applications across machine learning and artificial intelligence systems. While current research has predominantly focused on linear diffusions, these…

Machine Learning · Statistics 2025-10-06 Kulunu Dharmakeerthi , Yousef El-Laham , Henry H. Wong , Vamsi K. Potluru , Changhong He , Taosong He

Analysis of competing risks data plays an important role in the lifetime data analysis. Recently Feizjavadian and Hashemi (Computational Statistics and Data Analysis, vol. 82, 19-34, 2015) provided a classical inference of a competing risks…

Methodology · Statistics 2021-05-04 Debashis Samanta , Debasis Kundu

Randomized neural networks (RdNNs) enable efficient, backpropagation-free training by freezing randomly initialized input-to-hidden weights, which permits a closed-form solution for the output layer. However, conventional random…

Machine Learning · Computer Science 2026-05-14 Mushir Akhtar , M. Tanveer , Mohd. Arshad

Compared to mean regression and quantile regression, the literature on modal regression is very sparse. A unifying framework for Bayesian modal regression is proposed, based on a family of unimodal distributions indexed by the mode, along…

Methodology · Statistics 2024-07-02 Qingyang Liu , Xianzheng Huang , Rai Bai

In recommendation systems (RS), user behavior data is observational rather than experimental, resulting in widespread bias in the data. Consequently, tackling bias has emerged as a major challenge in the field of recommendation systems.…

Information Retrieval · Computer Science 2023-08-21 ZiJie Song , JiaWei Chen , Sheng Zhou , QiHao Shi , Yan Feng , Chun Chen , Can Wang

This paper introduces a new three-parameters model called the Weibull-G exponential distribution (WGED) distribution which exhibits bathtub-shaped hazard rate. Some of it's statistical properties are obtained including quantile, moments,…

Statistics Theory · Mathematics 2016-06-24 Abdelfattah Mustafa , B. S. El-Desouky , Shamsan AL-Garash

Considered here are robust subgroup-classifier learning and testing in change-plane regressions with heavy-tailed errors, which can identify subgroups as a basis for making optimal recommendations for individualized treatment. A new…

Methodology · Statistics 2024-08-27 Xu Liu , Jian Huang , Yong Zhou , Xiao Zhang

The probability and structure of co-occurrences of extreme values in multivariate data may critically depend on auxiliary information provided by covariates. In this contribution, we develop a flexible generalized additive modeling…

Methodology · Statistics 2018-02-06 Linda Mhalla , Thomas Opitz , Valérie Chavez-Demoulin

Weakly-supervised anomaly detection can outperform existing unsupervised methods with the assistance of a very small number of labeled anomalies, which attracts increasing attention from researchers. However, existing weakly-supervised…

Machine Learning · Computer Science 2024-06-14 Xu Tan , Junqi Chen , Sylwan Rahardja , Jiawei Yang , Susanto Rahardja

This paper is devoted to study a new three- parameters model called the Exponential Flexible Weibull extension (EFWE) distribution which exhibits bathtub-shaped hazard rate. Some of it's statistical properties are obtained including…

Statistics Theory · Mathematics 2016-05-27 Beih S. El-Desouky , Abdelfattah Mustafa , Shamsan AL-Garash

Dynamic Treatment Regimes (DTRs) provide a systematic framework for optimizing sequential decision-making in chronic disease management, where therapies must adapt to patients' evolving clinical profiles. Inverse probability weighting (IPW)…

Methodology · Statistics 2026-03-26 Chloe Si , David A. Stephens , Erica E. M. Moodie

Deep neural networks (DNNs) are recently shown to be vulnerable to backdoor attacks, where attackers embed hidden backdoors in the DNN model by injecting a few poisoned examples into the training dataset. While extensive efforts have been…

Artificial Intelligence · Computer Science 2023-03-14 Zaixi Zhang , Qi Liu , Zhicai Wang , Zepu Lu , Qingyong Hu

Within Bayesian nonparametrics, dependent Dirichlet process mixture models provide a highly flexible approach for conducting inference about the conditional density function. However, several formulations of this class make either rather…

Methodology · Statistics 2024-05-14 María Xosé Rodríguez-Álvarez , Vanda Inácio , Nadja Klein

Our goal is to develop a Bayesian model averaging technique in linear regression models that accommodates heavier tailed error densities than the normal distribution. Motivated by the use of the Huber loss function in the presence of…

Methodology · Statistics 2024-11-26 Shamriddha De , Joyee Ghosh

Low-fidelity wake models are used for wind farm design and control optimization. To generalize to a wind farm model, individually-modeled wakes are commonly superimposed using approximate superposition models. Wake models parameterize…

Fluid Dynamics · Physics 2023-06-22 Michael J. LoCascio , Catherine Gorle , Michael F. Howland

In this work, we revisit the estimation of the model parameters of a Weibull distribution based on iid observations, using the maximum likelihood estimation (MLE) method which does not yield closed expressions of the estimators. Among other…

Computation · Statistics 2025-01-22 Buu-Chau Truong , Peter Mphekgwana , Nabendu Pal

Robust statistics traditionally focuses on outliers, or perturbations in total variation distance. However, a dataset could be corrupted in many other ways, such as systematic measurement errors and missing covariates. We generalize the…

Statistics Theory · Mathematics 2020-12-15 Banghua Zhu , Jiantao Jiao , Jacob Steinhardt

We study random design linear regression with no assumptions on the distribution of the covariates and with a heavy-tailed response variable. In this distribution-free regression setting, we show that boundedness of the conditional second…

Statistics Theory · Mathematics 2022-02-25 Jaouad Mourtada , Tomas Vaškevičius , Nikita Zhivotovskiy

Models for extreme values are generally derived from limit results, which are meant to be good enough approximations when applied to finite samples. Depending on the speed of convergence of the process underlying the data, these…

Statistics Theory · Mathematics 2019-02-20 Thomas Lugrin , Anthony C. Davison , Jonathan A. Tawn