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An assumed density approximate likelihood is derived for a class of partially observed stochastic compartmental models which permit observational over-dispersion. This is achieved by treating time-varying reporting probabilities as latent…

统计方法学 · 统计学 2025-05-22 Michael Whitehouse

Quantile regression and conditional density estimation can reveal structure that is missed by mean regression, such as multimodality and skewness. In this paper, we introduce a deep learning generative model for joint quantile estimation…

统计方法学 · 统计学 2023-11-14 Shijie Wang , Minsuk Shin , Ray Bai

In many remote sensing applications one wants to estimate variables or parameters of interest from observations. When the target variable is available at a resolution that matches the remote sensing observations, standard algorithms such as…

We present a novel statistical approach to incorporating uncertainty awareness in model-free distributional reinforcement learning involving quantile regression-based deep Q networks. The proposed algorithm, $\textit{Calibrated Evidential…

机器学习 · 计算机科学 2024-06-05 Alex Christopher Stutts , Danilo Erricolo , Theja Tulabandhula , Amit Ranjan Trivedi

$\ell_1$-penalized quantile regression is widely used for analyzing high-dimensional data with heterogeneity. It is now recognized that the $\ell_1$-penalty introduces non-negligible estimation bias, while a proper use of concave…

统计方法学 · 统计学 2021-09-14 Kean Ming Tan , Lan Wang , Wen-Xin Zhou

This paper studies Cox's regression hazard model with an unobservable random frailty where no specific distribution is postulated for the frailty variable, and the marginal lifetime distribution allows both parametric and non-parametric…

统计方法学 · 统计学 2015-10-09 Vahed Maroufy , Paul Marriott

In this work we discuss the progress of Bayesian quantile regression models since their first proposal and we discuss the importance of all parameters involved in the inference process. Using a representation of the asymmetric Laplace…

统计方法学 · 统计学 2016-01-28 Bruno Santos , Heleno Bolfarine

Domain generalization (DG) seeks predictors which perform well on unseen test distributions by leveraging data drawn from multiple related training distributions or domains. To achieve this, DG is commonly formulated as an average- or…

In this study, we consider preliminary test and shrinkage estimation strategies for quantile regression models. In classical Least Squares Estimation (LSE) method, the relationship between the explanatory and explained variables in the…

统计理论 · 数学 2017-09-07 Bahadır Yüzbaşı , Yasin Asar , M. Şamil Şık , Ahmet Demiralp

Quantile regression is a statistical method which, unlike classical regression, aims to predict the conditional quantiles. Classical quantile regression methods face difficulties, particularly when the quantile under consideration is…

统计方法学 · 统计学 2025-08-22 Lucien M. Vidagbandji , Alexandre Berred , Cyrille Bertelle , Laurent Amanton

In this paper, we investigate a divide and conquer approach to Kernel Ridge Regression (KRR). Given n samples, the division step involves separating the points based on some underlying disjoint partition of the input space (possibly via…

机器学习 · 统计学 2016-08-08 Rashish Tandon , Si Si , Pradeep Ravikumar , Inderjit Dhillon

Nonparametric regression is a standard statistical tool with increased importance in the Big Data era. Boundary points pose additional difficulties but local polynomial regression can be used to alleviate them. Local linear regression, for…

其他统计学 · 统计学 2017-04-04 Srinjoy Das , Dimitris N. Politis

The joint Value at Risk (VaR) and expected shortfall (ES) quantile regression model of Taylor (2017) is extended via incorporating a realized measure, to drive the tail risk dynamics, as a potentially more efficient driver than daily…

风险管理 · 定量金融 2018-05-23 Richard Gerlach , Chao Wang

We develop a predictive inference procedure that combines conformal prediction (CP) with unconditional quantile regression (QR) -- a commonly used tool in econometrics that involves regressing the recentered influence function (RIF) of the…

机器学习 · 计算机科学 2023-04-05 Ahmed M. Alaa , Zeshan Hussain , David Sontag

In this paper, we consider distributed maximum likelihood estimation (MLE) with dependent quantized data under the assumption that the structure of the joint probability density function (pdf) is known, but it contains unknown deterministic…

信息论 · 计算机科学 2013-09-17 Xiaojing Shen , Pramod K. Varshney , Yunmin Zhu

Parameter estimation and associated uncertainty quantification is an important problem in dynamical systems characterized by ordinary differential equation (ODE) models that are often nonlinear. Typically, such models have analytically…

统计计算 · 统计学 2024-03-26 Wai Meng Kwok , Sarat Chandra Dass , George Streftaris

Dimensionality reduction (DR) of data is a crucial issue for many machine learning tasks, such as pattern recognition and data classification. In this paper, we present a quantum algorithm and a quantum circuit to efficiently perform linear…

量子物理 · 物理学 2023-04-03 Kai Yu , Gong-De Guo , Song Lin

We develop a collection of methods for adjusting the predictions of quantile regression to ensure coverage. Our methods are model agnostic and can be used to correct for high-dimensional overfitting bias with only minimal assumptions.…

统计方法学 · 统计学 2025-11-10 Isaac Gibbs , John J. Cherian , Emmanuel J. Candès

We introduce a semiparametric approach for forecasting Value-at-Risk (VaR) and Expected Shortfall (ES) by modeling the conditional scale of financial returns, defined as the difference between two specified quantiles, via restricted…

计量经济学 · 经济学 2026-03-18 Xiaochun Liu , Richard Luger

We give a row sampling algorithm for the quantile loss function with sample complexity nearly linear in the dimensionality of the data, improving upon the previous best algorithm whose sampling complexity has at least cubic dependence on…

数据结构与算法 · 计算机科学 2020-06-16 Yi Li , Ruosong Wang , Lin Yang , Hanrui Zhang