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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…

机器学习 · 统计学 2023-04-18 Rasool Fakoor , Taesup Kim , Jonas Mueller , Alexander J. Smola , Ryan J. Tibshirani

Sampling is an important tool for estimating large, complex sums and integrals over high dimensional spaces. For instance, important sampling has been used as an alternative to exact methods for inference in belief networks. Ideally, we…

人工智能 · 计算机科学 2013-01-18 Luis E. Ortiz , Leslie Pack Kaelbling

Network surveys of key populations at risk for HIV are an essential part of the effort to understand how the epidemic spreads and how it can be prevented. Estimation of population values from the sample data has been probematical, however,…

应用统计 · 统计学 2019-09-12 Steve Thompson

We introduce extensions of stability selection, a method to stabilise variable selection methods introduced by Meinshausen and B\"uhlmann (J R Stat Soc 72:417-473, 2010). We propose to apply a base selection method repeatedly to random…

统计方法学 · 统计学 2016-10-26 Andre Beinrucker , Ürün Dogan , Gilles Blanchard

The martingale method is used to establish concentration inequalities for a class of dependent random sequences on a countable state space, with the constants in the inequalities expressed in terms of certain mixing coefficients. Along the…

概率论 · 数学 2009-01-22 Leonid , Kontorovich , Kavita Ramanan

Considering the increasing size of available data, the need for statistical methods that control the finite sample bias is growing. This is mainly due to the frequent settings where the number of variables is large and allowed to increase…

统计理论 · 数学 2018-10-12 Stéphane Guerrier , Mucyo Karemera , Samuel Orso , Maria-Pia Victoria-Feser

Background: Heritability is a central measure in genetics quantifying how much of the variability observed in a trait is attributable to genetic differences. Existing methods for estimating heritability are most often based on random-effect…

应用统计 · 统计学 2022-08-26 The Tien Mai , Paul Turner , Jukka Corander

To analyse a very large data set containing lengthy variables, we adopt a sequential estimation idea and propose a parallel divide-and-conquer method. We conduct several conventional sequential estimation procedures separately, and properly…

统计方法学 · 统计学 2018-12-27 Zhanfeng Wang , Yuan-chin Ivan Chang

Doubly robust estimators of causal effects are a popular means of estimating causal effects. Such estimators combine an estimate of the conditional mean of the outcome given treatment and confounders (the so-called outcome regression) with…

统计方法学 · 统计学 2019-01-17 David Benkeser , Weixin Cai , Mark J van der Laan

We study the problem of reducing the variance of Monte Carlo estimators through performing suitable changes of the sampling measure which are induced by feedforward neural networks. To this end, building on the concept of vector stochastic…

计算金融 · 定量金融 2023-06-05 Aleksandar Arandjelović , Thorsten Rheinländer , Pavel V. Shevchenko

Motivated by two case studies using primary care records from the Clinical Practice Research Datalink, we describe statistical methods that facilitate the analysis of tall data, with very large numbers of observations. Our focus is on…

统计方法学 · 统计学 2018-05-14 Kirsty Rhodes , Rebecca Turner , Rupert Payne , Ian White

Distributional regression aims to estimate the full conditional distribution of a target variable, given covariates. Popular methods include linear and tree-ensemble based quantile regression. We propose a neural network-based…

统计方法学 · 统计学 2024-07-08 Xinwei Shen , Nicolai Meinshausen

Statistical and structural modeling represent two distinct approaches to data analysis. In this paper, we propose a set of novel methods for combining statistical and structural models for improved prediction and causal inference. Our first…

计量经济学 · 经济学 2020-06-11 Jiaming Mao , Jingzhi Xu

Over a year after the start of the COVID-19 epidemics, we are still facing the virus and it is hard to correctly predict its future spread over weeks to come, as well as the impacts of potential political interventions. Current epidemic…

多智能体系统 · 计算机科学 2021-12-03 Benoit Doussin , Carole Adam , Didier Georges

We propose an iterative estimating equations procedure for analysis of longitudinal data. We show that, under very mild conditions, the probability that the procedure converges at an exponential rate tends to one as the sample size…

统计理论 · 数学 2007-12-18 Jiming Jiang , Yihui Luan , You-Gan Wang

The wild bootstrap is a popular resampling method in the context of time-to-event data analyses. Previous works established the large sample properties of it for applications to different estimators and test statistics. It can be used to…

统计方法学 · 统计学 2023-10-27 Marina T. Dietrich , Dennis Dobler , Mathisca C. M. de Gunst

Multi-stage (designed) procedures, obtained by splitting the sampling budget suitably across stages, and designing the sampling at a particular stage based on information about the parameter obtained from previous stages, are often…

统计方法学 · 统计学 2014-01-08 Atul Mallik , Moulinath Banerjee , George Michailidis

As an alternative to the well-known methods of "chaining" and "bracketing" that have been developed in the study of random fields, a new method, which is based on a {\em stochastic maximal inequality} derived by using the formula for…

概率论 · 数学 2017-08-16 Yoichi Nishiyama

A common problem in Bayesian inference is the sampling of target probability distributions at sufficient resolution and accuracy to estimate the probability density, and to compute credible regions. Often by construction, many target…

统计计算 · 统计学 2020-02-20 Alvin J. K. Chua

The mixed effects model for repeated measures (MMRM) has been widely used for the analysis of longitudinal clinical data collected at a number of fixed time points. We propose a robust extension of the MMRM for skewed and heavy-tailed data…

统计方法学 · 统计学 2019-08-12 Yongqiang Tang