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We revisit a classical question of how individual consumer preferences and incomes shape aggregate behavior. We develop a method that applies to populations with homothetic preferences and reduces the hard problem of aggregation to simply…

Theoretical Economics · Economics 2024-05-13 Fedor Sandomirskiy , Philip Ushchev

The presence of multiple fields during inflation might seed a detectable amount of non-Gaussianity in the curvature perturbations, which in turn becomes observable in present data sets like the cosmic microwave background (CMB) or the large…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-27 Sebastian Dorn , Erandy Ramirez , Kerstin E. Kunze , Stefan Hofmann , Torsten A. Enßlin

We present a proposal to deal with the non-normality issue in the context of regression models with measurement errors when both the response and the explanatory variable are observed with error. We extend the normal model by jointly…

Methodology · Statistics 2020-07-28 C. R. B. Cabral , N. L. de Souza , J. Leão

Regression calibration is a popular approach for correcting biases in estimated regression parameters when exposure variables are measured with error. This approach involves building a calibration equation to estimate the value of the…

In this paper, we formulate a method for minimising the expectation value of the procurement cost of electricity in two popular spot markets: {\it day-ahead} and {\it intra-day}, under the assumption that expectation value of unit prices…

Economics · Quantitative Finance 2023-03-03 Naoya Yamaguchi , Maiya Hori , Yoshinari Ideguchi

We propose a new approach to estimating the random coefficient logit demand model for differentiated products when the vector of market-product level shocks is sparse. Assuming sparsity, we establish nonparametric identification of the…

Econometrics · Economics 2025-07-28 Zhentong Lu , Kenichi Shimizu

We present a new uncertainty principle for risk-aware statistical estimation, effectively quantifying the inherent trade-off between mean squared error ($\mse$) and risk, the latter measured by the associated average predictive squared…

Information Theory · Computer Science 2021-12-13 Nikolas P. Koumpis , Dionysios S. Kalogerias

We propose a dynamical theory of market liquidity that predicts that the average supply/demand profile is V-shaped and {\it vanishes} around the current price. This result is generic, and only relies on mild assumptions about the order flow…

Trading and Market Microstructure · Quantitative Finance 2011-11-02 Bence Toth , Yves Lemperiere , Cyril Deremble , Joachim de Lataillade , Julien Kockelkoren , Jean-Philippe Bouchaud

Pearson's $\rho$ is the most used measure of statistical dependence. It gives a complete characterization of dependence in the Gaussian case, and it also works well in some non-Gaussian situations. It is well known, however, that it has a…

Statistics Theory · Mathematics 2018-09-28 Dag Tjøstheim , Håkon Otneim , Bård Støve

Science students must deal with the errors inherent to all physical measurements and be conscious of the necessity to express their as a best estimate and a range of uncertainty. Errors are routinely classified as statistical or systematic.…

Physics Education · Physics 2020-06-03 Martin Monteiro , Cecilia Stari , Cecilia Cabeza , Arturo C. Marti

It is standard practice in online retail to run pricing experiments by randomizing at the article-level, i.e. by changing prices of different products to identify treatment effects. Due to customers' cross-price substitution behavior, such…

Applications · Statistics 2024-02-23 Lars Roemheld , Justin Rao

We introduce a novel framework for individual-level welfare analysis. It builds on a parametric model for continuous demand with a quasilinear utility function, allowing for heterogeneous coefficients and unobserved individual-good-level…

Econometrics · Economics 2024-11-25 Junlong Feng , Sokbae Lee

Electricity price forecasts are typically evaluated using accuracy measures such as RMSE and MAE, although these metrics often fail to reflect their economic value in operational decisions. This paper investigates which statistical…

Computational Finance · Quantitative Finance 2026-04-01 Katarzyna Maciejowska , Arkadiusz Lipiecki , Bartosz Uniejewski

This paper analyzes the bank lending channel and the heterogeneous effects on the euro area, providing evidence that the channel is indeed working. The analysis of the transmission mechanism is based on structural impulse responses to an…

Econometrics · Economics 2018-07-12 Martin Guth

Understanding individual customers' sensitivities to prices, promotions, brands, and other marketing mix elements is fundamental to a wide swath of marketing problems. An important but understudied aspect of this problem is the dynamic…

Applications · Statistics 2024-06-03 Ryan Dew , Yuhao Fan

Firms that price perishable resources -- airline seats, hotel rooms, seasonal inventory -- now routinely use demand predictions, but these predictions vary widely in quality. Under hard capacity constraints, acting on an inaccurate…

Optimization and Control · Mathematics 2026-03-27 Ruicheng Ao , Jiashuo Jiang , David Simchi-Levi

Suppose that two large, multi-dimensional data sets are each noisy measurements of the same underlying random process, and principle components analysis is performed separately on the data sets to reduce their dimensionality. In some…

Machine Learning · Statistics 2024-06-27 Donniell E. Fishkind , Cencheng Shen , Youngser Park , Carey E. Priebe

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

We study a pricing setting where each customer is offered a contextualized price based on customer and/or product features. Often only historical sales data are available, so we observe whether a customer purchased a product at the price…

Machine Learning · Computer Science 2023-02-24 Max Biggs , Ruijiang Gao , Wei Sun

We examine identification of differentiated products demand when one has "micro data" linking individual consumers' characteristics and choices. Our model nests standard specifications featuring rich observed and unobserved consumer…

Econometrics · Economics 2022-05-03 Steven T. Berry , Philip A. Haile