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This paper considers a wide family of semiparametric repeated measures regression models, in which the main interest is on estimating population-level quantities such as mean, variance, probabilities etc. Examples of our framework include…

Statistics Theory · Mathematics 2008-12-18 Arnab Maity , Tatiyana V. Apanasovich , Raymond J. Carroll

Personalization of machine learning (ML) predictions for individual users/domains/enterprises is critical for practical recommendation systems. Standard personalization approaches involve learning a user/domain specific embedding that is…

Estimating the structures at high or low quantiles has become an important subject and attracted increasing attention across numerous fields. However, due to data sparsity at tails, it usually is a challenging task to obtain reliable…

Methodology · Statistics 2021-11-08 Yingying Zhang , Yuefeng Si , Guodong Li , Chil-Ling Tsai

Quantile regression is a statistical method for estimating conditional quantiles of a response variable. In addition, for mean estimation, it is well known that quantile regression is more robust to outliers than $l_2$-based methods. By…

Methodology · Statistics 2021-08-18 Steven Siwei Ye , Oscar Hernan Madrid Padilla

Random samples are lossy summaries which allow queries posed over the data to be approximated by applying an appropriate estimator to the sample. The effectiveness of sampling, however, hinges on estimator selection. The choice of…

Statistics Theory · Mathematics 2014-04-10 Edith Cohen

A general adaptive approach rooted in stratified sampling (SS) is proposed for sample-based uncertainty quantification (UQ). To motivate its use in this context the space-filling, orthogonality, and projective properties of SS are compared…

Methodology · Statistics 2015-12-14 Michael D. Shields , Kirubel Teferra , Adam Hapij , Raymond P. Daddazio

Quantile regression is a powerful statistical methodology that complements the classical linear regression by examining how covariates influence the location, scale, and shape of the entire response distribution and offering a global view…

Applications · Statistics 2013-09-11 Lu Xiaoming , Fan Zhaozhi

This paper deals with the estimation of population sizes for respondent-driven sampling (RDS), a variant of link-tracing sampling that leverages social networks over a number of waves to recruit individuals from hidden populations. The RDS…

Methodology · Statistics 2023-07-24 Mamadou Yauck

This paper focuses on drawing statistical inference based on a novel variant of maxima or minima nomination sampling (NS) designs. These sampling designs are useful for obtaining more representative sample units from the tails of the…

Methodology · Statistics 2021-06-01 Zeinab Akbari Ghamsari , Ehsan Zamanzade , Majid Asadi

Some ratio estimators for estimating the population mean of the variable under study, which make use of information regarding the population proportion possessing certain attribute, are proposed. Under simple random sampling without…

General Mathematics · Mathematics 2009-07-27 Rajesh Singh , Pankaj Chauhan , Nirmala Sawan , Florentin Smarandache

We present large sample results for partitioning-based least squares nonparametric regression, a popular method for approximating conditional expectation functions in statistics, econometrics, and machine learning. First, we obtain a…

Statistics Theory · Mathematics 2020-07-20 Matias D. Cattaneo , Max H. Farrell , Yingjie Feng

The weak convergence of the quantile processes, which are constructed based on different estimators of the finite population quantiles, is shown under various well-known sampling designs based on a superpopulation model. The results related…

Statistics Theory · Mathematics 2024-12-02 Anurag Dey , Probal Chaudhuri

We study the problem of modeling univariate distributions via their quantile functions. We introduce a flexible family of distributions whose quantile function is a linear combination of basis quantiles. Because the model is linear in its…

Methodology · Statistics 2026-02-05 Cheng Peng , Yizhou Li , Stan Uryasev

Singh and Kumar (2011) suggested estimators for calculating population variance using auxiliary attributes. This paper proposes a family of estimators based on an adaptation of the estimators presented by Kadilar and Cingi (2004) and Singh…

Statistics Theory · Mathematics 2014-03-04 Rajesh Singh , Sachin Malik

Current methods for population mean estimation from data collected by Respondent Driven Sampling (RDS) are based on the Horvitz-Thompson estimator together with a set of assumptions on the sampling model under which the inclusion…

Methodology · Statistics 2014-11-10 Adityanand Guntuboyina , Russell Barbour , Robert Heimer

\noindent Randomized nomination sampling (RNS) is a rank-based sampling technique which has been shown to be effective in several nonparametric studies involving environmental and ecological applications. In this paper, we investigate…

Methodology · Statistics 2015-12-18 Mohammad Nourmohammadi , Mohammad Jafari Jozani , Brad Johnson

Quantile regression is a fundamental problem in statistical learning motivated by a need to quantify uncertainty in predictions, or to model a diverse population without being overly reductive. For instance, epidemiological forecasts, cost…

Machine Learning · Statistics 2023-04-18 Rasool Fakoor , Taesup Kim , Jonas Mueller , Alexander J. Smola , Ryan J. Tibshirani

It is highly important for governments and health organizations to monitor the prevalence of breast cancer as a leading source of cancer-related death among women. However, the accurate diagnosis of this disease is expensive, especially in…

Methodology · Statistics 2021-04-21 M. Mahdizadeha , Ehsan Zamanzade

Population quantiles and their functions are important parameters in many applications. For example, the lower quantiles often serve as crucial quality indices for forestry products. Given several independent samples from populations…

Statistics Theory · Mathematics 2013-08-14 Jiahua Chen , Yukun Liu

Predictive Maintenance (PdM) is pivotal in Industry 4.0 and 5.0, proactively enhancing efficiency through accurate equipment Remaining Useful Life (RUL) prediction, thus optimizing maintenance scheduling and reducing unexpected failures and…

Artificial Intelligence · Computer Science 2025-06-23 Davide Frizzo , Francesco Borsatti , Gian Antonio Susto