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We empirically show that Bayesian inference can be inconsistent under misspecification in simple linear regression problems, both in a model averaging/selection and in a Bayesian ridge regression setting. We use the standard linear model,…

Statistics Theory · Mathematics 2018-10-30 Peter Grünwald , Thijs van Ommen

This paper investigates how the discount factor and payoff functions can be identified in stationary infinite-horizon dynamic discrete choice models. In single-agent models, we show that common nonparametric assumptions on per-period…

Econometrics · Economics 2025-07-29 Yu Hao , Hiroyuki Kasahara , Katsumi Shimotsu

We study the impact of weak identification in discrete choice models, and provide insights into the determinants of identification strength in these models. Using these insights, we propose a novel test that can consistently detect weak…

Econometrics · Economics 2021-01-21 David T. Frazier , Eric Renault , Lina Zhang , Xueyan Zhao

Virtually any model we use in machine learning to make predictions does not perfectly represent reality. So, most of the learning happens under model misspecification. In this work, we present a novel analysis of the generalization…

Machine Learning · Computer Science 2020-10-23 Andres R. Masegosa

Sequences of repeated gambles provide an experimental tool to characterize the risk preferences of humans or artificial decision-making agents. The difficulty of this inference depends on factors including the details of the gambles offered…

Artificial Intelligence · Computer Science 2023-08-15 James Price , Colm Connaughton

The problem of linear predictions has been extensively studied for the past century under pretty generalized frameworks. Recent advances in the robust statistics literature allow us to analyze robust versions of classical linear models…

Machine Learning · Statistics 2022-03-15 Saptarshi Chakraborty , Debolina Paul , Swagatam Das

We develop our previous works concerning the identification of the collection of significant factors determining some, in general, non-binary random response variable. Such identification is important, e.g., in biological and medical…

Statistics Theory · Mathematics 2014-06-05 Alexander V. Bulinski , Alexander S. Rakitko

Survival models incorporating random effects to account for unmeasured heterogeneity are being increasingly used in biostatistical and applied research. Specifically, unmeasured covariates whose lack of inclusion in the model would lead to…

Methodology · Statistics 2020-05-06 Alessandro Gasparini , Mark S. Clements , Keith R. Abrams , Michael J. Crowther

Recent work by Ram\'irez et al. [2] has introduced Multi-Channel Factor Analysis (MFA) as an extension of factor analysis to multi-channel data that allows for latent factors common to all channels as well as factors specific to each…

Signal Processing · Electrical Eng. & Systems 2024-07-29 Gray Stanton , David Ramírez , Ignacio Santamaria , Louis Scharf , Haonan Wang

We consider the uncapacitated facility location problem with (linear) penalty function and show that a modified JMS algorithm, combined with a randomized LP rounding technique due to Byrka-Aardal[1], Li[14] and Li et al.[16] yields 1.488…

Data Structures and Algorithms · Computer Science 2016-09-29 Xian Qiu , Walter Kern

Gene expression datasets are usually of high dimensionality and therefore require efficient and effective methods for identifying the relative importance of their attributes. Due to the huge size of the search space of the possible…

Machine Learning · Computer Science 2022-06-10 Fernando Jiménez , Gracia Sánchez , José Palma , Luis Miralles-Pechuán , Juan Botía

Noise affects the performance of quantum technologies, hence the importance of elaborating operative figures of merit that can capture its impact in exact terms. In quantum metrology, the introduction of the Fisher information measurement…

Quantum Physics · Physics 2024-09-30 Francesco Albarelli , Ilaria Gianani , Marco G. Genoni , Marco Barbieri

We study the finite mutually exclusive outcome version of risk-constrained Kelly optimization with explicit state prices. The market has outcome probabilities $p_i>0$, state prices $q_i>0$, terminal wealths $W_i=c+x_i/q_i$, and a…

Optimization and Control · Mathematics 2026-04-14 Christopher D. Long

While traditional equity factor investing relies heavily on slow-moving fundamental accounting metrics, these models frequently suffer from factor crowding and miss real-time, sentiment-driven market dislocations. This study explores how…

Statistical Finance · Quantitative Finance 2026-05-22 Jin Du , Alexander Walter , Maxim Ulrich

Bayesian inference is a popular approach to calibrating uncertainties, but it can underpredict such uncertainties when model misspecification is present, impacting its reliability to inform decision making. Recently, the statistics and…

Computational Engineering, Finance, and Science · Computer Science 2026-01-09 Rebekah White , Rileigh Bandy , Teresa Portone

This article is an extension of the results of two earlier articles. In [J. Schubert, On nonspecific evidence, Int. J. Intell. Syst. 8 (1993) 711-725] we established within Dempster-Shafer theory a criterion function called the metaconflict…

Artificial Intelligence · Computer Science 2007-05-23 Johan Schubert

Latent factor model estimation typically relies on either using domain knowledge to manually pick several observed covariates as factor proxies, or purely conducting multivariate analysis such as principal component analysis. However, the…

Methodology · Statistics 2023-01-04 Runzhe Wan , Yingying Li , Wenbin Lu , Rui Song

Most real-world classification problems deal with imbalanced datasets, posing a challenge for Artificial Intelligence (AI), i.e., machine learning algorithms, because the minority class, which is of extreme interest, often proves difficult…

Machine Learning · Computer Science 2025-04-28 Gissel Velarde , Michael Weichert , Anuj Deshmunkh , Sanjay Deshmane , Anindya Sudhir , Khushboo Sharma , Vaibhav Joshi

The Capital Asset Pricing Model (CAPM) is one of the original models in explaining risk-return relationship in the financial market. However, when applying the CAPM into reality, it demonstrates a lot of shortcomings. While improving the…

Statistical Finance · Quantitative Finance 2015-11-24 Linh Nghiem

Estimating the covariance of asset returns, i.e., the risk model, is a key component of financial portfolio construction and evaluation. Most risk modeling approaches produce a factor model that decomposes the asset variability into two…

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