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In order to estimate the population mean in the presence of both non-response and measurement errors that are uncorrelated, the paper presents some novel estimators employing ranked set sampling by utilizing auxiliary information.Up to the…

Methodology · Statistics 2023-11-06 Rajesh Singh , Anamika Kumari

Loss functions are widely used to compare several competing forecasts. However, forecast comparisons are often based on mismeasured proxy variables for the true target. We introduce the concept of exact robustness to measurement error for…

Econometrics · Economics 2021-06-22 Yannick Hoga , Timo Dimitriadis

Standardness is a popular assumption in the literature on set estimation. It also appears in statistical approaches to topological data analysis, where it is common to assume that the data were sampled from a probability measure that…

Statistics Theory · Mathematics 2025-02-27 Alejandro Cholaquidis , Leonardo Moreno , Beatriz Pateiro-López

Causal inference with observational studies often suffers from unmeasured confounding, yielding biased estimators based on the unconfoundedness assumption. Sensitivity analysis assesses how the causal conclusions change with respect to…

Methodology · Statistics 2024-04-01 Sizhu Lu , Peng Ding

This paper develops and implements a nonparametric test of Random Utility Models. The motivating application is to test the null hypothesis that a sample of cross-sectional demand distributions was generated by a population of rational…

Statistics Theory · Mathematics 2018-12-06 Yuichi Kitamura , Jörg Stoye

Economic choices are often stochastic: the same person may make a different choice when facing the same alternatives repeatedly. Standard models assume that the degree of randomness reflects the size of utility differences, but choice…

Theoretical Economics · Economics 2026-05-05 Shuhua Si

Nonlinear machine-learning models are increasingly used to discover causal relationships in time-series data, yet the interpretation of their outputs remains poorly understood. In particular, causal scores produced by regularized neural…

Machine Learning · Computer Science 2026-05-27 Valentina Kuskova , Dmitry Zaytsev , Michael Coppedge

We present a new framework for the assessment and calibration of medium range ensemble temperature forecasts. The method is based on maximising the likelihood of a simple parametric model for the temperature distribution, and leads to some…

Atmospheric and Oceanic Physics · Physics 2009-11-10 Stephen Jewson , Anders Brix , Christine Ziehmann

We consider the conditional randomization test as a way to account for covariate imbalance in randomized experiments. The test accounts for covariate imbalance by comparing the observed test statistic to the null distribution of the test…

Complex statistical machine learning models are increasingly being used or considered for use in high-stakes decision-making pipelines in domains such as financial services, health care, criminal justice and human services. These models are…

Applications · Statistics 2017-07-04 Alexandra Chouldechova , Max G'Sell

Probability forecasts are intended to account for the uncertainties inherent in forecasting. It is suggested that from an end-user's point of view probability is not necessarily sufficient to reflect uncertainties that are not simply the…

Statistics Theory · Mathematics 2015-01-22 Kevin Judd

When providing probabilistic forecasts for uncertain future events, it is common to strive for calibrated forecasts, that is, the predictive distribution should be compatible with the observed outcomes. Several notions of calibration are…

Methodology · Statistics 2015-05-21 Christof Strähl , Johanna F. Ziegel

Robust estimators, like the median of a point set, are important for data analysis in the presence of outliers. We study robust estimators for locationally uncertain points with discrete distributions. That is, each point in a data set has…

Discrete Mathematics · Computer Science 2018-03-14 Kevin Buchin , Jeff M. Phillips , Pingfan Tang

We present a general framework for a comparative theory of variability measures, with a particular focus on the recently introduced one-parameter families of inter-Expected Shortfall differences and inter-expectile differences, that are…

Risk Management · Quantitative Finance 2022-04-05 Fabio Bellini , Tolulope Fadina , Ruodu Wang , Yunran Wei

Calibration measures quantify how much a forecaster's predictions violates calibration, which requires that forecasts are unbiased conditioning on the forecasted probabilities. Two important desiderata for a calibration measure are its…

Machine Learning · Computer Science 2025-03-05 Mingda Qiao , Eric Zhao

The properties of the normal distribution under linear transformation, as well the easy way to compute the covariance matrix of marginals and conditionals, offer a unique opportunity to get an insight about several aspects of uncertainties…

Data Analysis, Statistics and Probability · Physics 2018-02-12 Giulio D'Agostini

We use a decision-theoretic framework to study the problem of forecasting discrete outcomes when the forecaster is unable to discriminate among a set of plausible forecast distributions because of partial identification or concerns about…

Econometrics · Economics 2020-12-18 Timothy Christensen , Hyungsik Roger Moon , Frank Schorfheide

Explainability methods are used to benchmark the extent to which model predictions align with human rationales i.e., are 'right for the right reasons'. Previous work has failed to acknowledge, however, that what counts as a rationale is…

Computation and Language · Computer Science 2023-10-16 Terne Sasha Thorn Jakobsen , Laura Cabello , Anders Søgaard

Prediction polling is an increasingly popular form of crowdsourcing in which multiple participants estimate the probability or magnitude of some future event. These estimates are then aggregated into a single forecast. Historically,…

Methodology · Statistics 2016-04-25 Ville A. Satopää , Shane T. Jensen , Robin Pemantle , Lyle H. Ungar

Conformal prediction is a model-free machine learning method for constructing prediction regions at a guaranteed coverage probability level. However, a data scientist often faces three challenges in practice: (i) the determination of a…

Machine Learning · Statistics 2026-03-31 Liang Hong , Noura Raydan Nasreddine