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Due to their type of mathematical construction, the use of standard financial ratios in studies analysing the financial health of a group of firms leads to a series of statistical problems that can invalidate the results obtained. These…

We discuss Bayesian nonparametric procedures for the regression analysis of compositional responses, that is, data supported on a multivariate simplex. The procedures are based on a modified class of multivariate Bernstein polynomials and…

统计方法学 · 统计学 2021-08-31 Claudia Wehrhahn , Andrés F. Barrientos , Alejandro Jara

We employ distribution regression (DR) to estimate the joint distribution of two outcome variables conditional on chosen covariates. While Bivariate Distribution Regression (BDR) is useful in a variety of settings, it is particularly…

计量经济学 · 经济学 2025-08-19 Victor Chernozhukov , Iván Fernández-Val , Jonas Meier , Aico van Vuuren , Francis Vella

Zero-inflated explanatory variables are common in fields such as ecology and finance. In this paper we address the problem of having excess of zero values in some explanatory variables which are subject to multioutcome lasso-regularized…

统计方法学 · 统计学 2021-09-13 Jyrki Möttönen , Tero Lähderanta , Janne Salonen , Mikko J. Sillanpää

Missing data are inevitable in clinical trials, and trials that produce categorical ordinal responses are not exempted from this. Typically, missing values in the data occur due to different missing mechanisms, such as missing completely at…

统计方法学 · 统计学 2025-05-09 Arnab Kumar Maity , Huaming Tan , Vivek Pradhan , Soutir Bandyopadhyay

The human microbiome plays critical roles in human health and has been linked to many diseases. While advanced sequencing technologies can characterize the composition of the microbiome in unprecedented detail, it remains challenging to…

In longitudinal data a response variable is measured over time, or under different conditions, for a cohort of individuals. In many situations all intended measurements are not available which results in missing values. If the missing value…

统计方法学 · 统计学 2022-08-10 Ahmed M. Gad , Nesma M. Darwish

Aiming to generalize the label knowledge from a source domain with continuous outputs to an unlabeled target domain, Domain Adaptation Regression (DAR) is developed for complex practical learning problems. However, due to the continuity…

机器学习 · 计算机科学 2024-08-14 Hao-Ran Yang , Chuan-Xian Ren , You-Wei Luo

Missing values are unavoidable in many applications of machine learning and present challenges both during training and at test time. When variables are missing in recurring patterns, fitting separate pattern submodels have been proposed as…

机器学习 · 计算机科学 2023-11-27 Lena Stempfle , Ashkan Panahi , Fredrik D. Johansson

Machine learning often needs to model density from a multidimensional data sample, including correlations between coordinates. Additionally, we often have missing data case: that data points can miss values for some of coordinates. This…

机器学习 · 计算机科学 2018-05-29 Jarek Duda

Motivated by investigating spatio-temporal patterns of the distribution of continuous variables, we consider describing the conditional distribution function of the response variable incorporating spatio-temporal components given…

统计方法学 · 统计学 2025-08-08 Tomotaka Momozaki , Shonosuke Sugasawa , Tomoyuki Nakagawa , Hiroko Kato Solvang , Sam Subbey

Understanding variable dependence, particularly eliciting their statistical properties given a set of covariates, provides the mathematical foundation in practical operations management such as risk analysis and decision-making given…

统计方法学 · 统计学 2023-09-06 Yunyun Wang , Tatsushi Oka , Dan Zhu

We propose a general nonparametric Bayesian framework for binary regression, which is built from modeling for the joint response-covariate distribution. The observed binary responses are assumed to arise from underlying continuous random…

统计方法学 · 统计学 2016-09-06 Maria DeYoreo , Athanasios Kottas

In compositional data, detecting which part of the whole delineates heterogeneity is important. The aim is to propose a procedure to quantify this term in the multivariate regression context without abandoning the data's natural…

统计方法学 · 统计学 2023-02-21 P Solano

Much of statistics relies upon four key elements: a law of large numbers, a calculus to operationalize stochastic convergence, a central limit theorem, and a framework for constructing local approximations. These elements are…

最优化与控制 · 数学 2018-01-09 Anil Aswani

Practitioners often face the challenge of deploying prediction models in new environments with shifted distributions of covariates and responses. With observational data, such shifts are often driven by unobserved confounding, and can in…

机器学习 · 计算机科学 2026-04-02 Kulunu Dharmakeerthi , YoonHaeng Hur , Tengyuan Liang

To segment a sequence of independent random variables at an unknown number of change-points, we introduce new procedures that are based on thresholding the likelihood ratio statistic. We also study confidence regions based on the likelihood…

统计理论 · 数学 2018-10-16 Xiao Fang , Jian Li , David Siegmund

Environmental mixture approaches do not accommodate compositional outcomes, consisting of vectors constrained onto the unit simplex. This limitation poses challenges in effectively evaluating the associations between multiple concurrent…

统计方法学 · 统计学 2025-03-31 Hachem Saddiki , Joshua L. Warren , Corina Lesseur , Elena Colicino

In modeling multivariate time series for either forecast or policy analysis, it would be beneficial to have figured out the cause-effect relations within the data. Regression analysis, however, is generally for correlation relation, and…

机器学习 · 统计学 2021-11-23 Xingwei Hu

Randomized experiments have become important tools in empirical research. In a completely randomized treatment-control experiment, the simple difference in means of the outcome is unbiased for the average treatment effect, and covariate…

统计理论 · 数学 2021-01-01 Lihua Lei , Peng Ding