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We consider settings where data are available on a nonparametric function and various partial derivatives. Such circumstances arise in practice, for example in the joint estimation of cost and input functions in economics. We show that when…

统计理论 · 数学 2009-09-29 Peter Hall , Adonis Yatchew

We introduce statistical constraints, a declarative modelling tool that links statistics and constraint programming. We discuss two statistical constraints and some associated filtering algorithms. Finally, we illustrate applications to…

人工智能 · 计算机科学 2014-09-09 Roberto Rossi , Steven Prestwich , S. Armagan Tarim

In practical applications, one often does not know the "true" structure of the underlying conditional quantile function, especially in the ultra-high dimensional setting. To deal with ultra-high dimensionality, quantile-adaptive marginal…

统计方法学 · 统计学 2024-04-26 Daoji Li , Yinfei Kong , Dawit Zerom

This paper explores the identification and estimation of nonseparable panel data models. We show that the structural function is nonparametrically identified when it is strictly increasing in a scalar unobservable variable, the conditional…

统计方法学 · 统计学 2018-11-09 Takuya Ishihara

For estimating conditional survival functions, non-parametric estimators can be preferred to parametric and semi-parametric estimators due to relaxed assumptions that enable robust estimation. Yet, even when misspecified, parametric and…

统计方法学 · 统计学 2014-12-23 Andrew Wey , John Connett , Kyle Rudser

Respondent-driven sampling is a widely-used network sampling technique, designed to sample from hard-to-reach populations. Estimation from the resulting samples is an area of active research, with software available to compute at least four…

应用统计 · 统计学 2010-12-21 Amber Tomas , Krista J. Gile

We consider high-dimensional estimation problems where the number of parameters diverges with the sample size. General conditions are established for consistency, uniqueness, and asymptotic normality in both unpenalized and penalized…

统计理论 · 数学 2025-04-08 Jana Gauss , Thomas Nagler

When a linear model is adjusted to control for additional explanatory variables the sign of a fitted coefficient may reverse. Here these reversals are studied using coefficients of determination. The resulting theory can be used to…

统计方法学 · 统计学 2015-03-11 Brian Knaeble , Seth Dutter

With the wide adoption of machine learning techniques, requirements have evolved beyond sheer high performance, often requiring models to be trustworthy. A common approach to increase the trustworthiness of such systems is to allow them to…

机器学习 · 计算机科学 2023-11-16 Andrea Pugnana , Carlos Mougan , Dan Saattrup Nielsen

In the era of big data, it is necessary to split extremely large data sets across multiple computing nodes and construct estimators using the distributed data. When designing distributed estimators, it is desirable to minimize the amount of…

统计理论 · 数学 2022-04-25 Azeem Zaman , Botond Szabó

Fast variational approximate algorithms are developed for Bayesian semiparametric regression when the response variable is a count, i.e. a non-negative integer. We treat both the Poisson and Negative Binomial families as models for the…

统计方法学 · 统计学 2013-09-18 Jan Luts , Matt P. Wand

We analyze the statistical properties of nonparametric regression estimators using covariates which are not directly observable, but have be estimated from data in a preliminary step. These so-called generated covariates appear in numerous…

统计理论 · 数学 2012-07-25 Enno Mammen , Christoph Rothe , Melanie Schienle

In this article, we develop a semiparametric Bayesian estimation and model selection approach for partially linear additive models in conditional quantile regression. The asymmetric Laplace distribution provides a mechanism for Bayesian…

统计计算 · 统计学 2013-07-11 Yuao Hu , Kaifeng Zhao , Heng Lian

To better understand the interplay of censoring and sparsity we develop finite sample properties of nonparametric Cox proportional hazard's model. Due to high impact of sequencing data, carrying genetic information of each individual, we…

统计理论 · 数学 2019-07-31 Jelena Bradic , Rui Song

Quantile regression is a tool for learning conditional distributions. In this paper we study quantile regression in the setting where a protected attribute is unavailable when fitting the model. This can lead to "unfair'' quantile…

统计理论 · 数学 2019-07-23 Dana Yang , John Lafferty , David Pollard

When data contains measurement errors, it is necessary to make assumptions relating the observed, erroneous data to the unobserved true phenomena of interest. These assumptions should be justifiable on substantive grounds, but are often…

机器学习 · 统计学 2020-12-24 Noam Finkelstein , Roy Adams , Suchi Saria , Ilya Shpitser

For the last two decades, high-dimensional data and methods have proliferated throughout the literature. Yet, the classical technique of linear regression has not lost its usefulness in applications. In fact, many high-dimensional…

Comparison and contrast are the basic means to unveil causation and learn which treatments work. To build good comparison groups, randomized experimentation is key, yet often infeasible. In such non-experimental settings, we illustrate and…

统计方法学 · 统计学 2024-01-30 Ambarish Chattopadhyay , Jose R. Zubizarreta

We consider identification and estimation of nonseparable sample selection models with censored selection rules. We employ a control function approach and discuss different objects of interest based on (1) local effects conditional on the…

计量经济学 · 经济学 2020-10-01 Iván Fernández-Val , Aico van Vuuren , Francis Vella

The manuscript discusses how to incorporate random effects for quantile regression models for clustered data with focus on settings with many but small clusters. The paper has three contributions: (i) documenting that existing methods may…

统计方法学 · 统计学 2022-02-24 Maria Laura Battagliola , Helle Sørensen , Anders Tolver , Ana-Maria Staicu
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