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The application of rough set theory in incomplete information systems is a key problem in practice since missing values almost always occur in knowledge acquisition due to the error of data measuring, the limitation of data collection, or…

Artificial Intelligence · Computer Science 2019-06-14 Min Shu , Wei Zhu

Causal or unconfounded descriptive comparisons between multiple groups are common in observational studies. Motivated from a racial disparity study in health services research, we propose a unified propensity score weighting framework, the…

Methodology · Statistics 2019-07-10 Fan Li , Fan Li

Propensity score weighting is a common method for estimating treatment effects with survey data. The method is applied to minimize confounding using measured covariates that are often different between individuals in treatment and control.…

Methodology · Statistics 2026-02-06 Yukang Zeng , Fan Li , Guangyu Tong

This paper introduces a likelihood ratio (LR)-type test that possesses the robustness properties of \(C(\alpha)\)-type procedures in an extremum estimation setting. The test statistic is constructed by applying separate adjustments to the…

Econometrics · Economics 2025-10-21 Jean-Marie Dufour , Purevdorj Tuvaandorj

Given an incomplete ratings data over a set of users and items, the preference completion problem aims to estimate a personalized total preference order over a subset of the items. In practical settings, a ranked list of top-$k$ items from…

Social and Information Networks · Computer Science 2019-04-16 Shameem A Puthiya Parambath , Nishant Vijayakumar , Sanjay Chawla

The inverse probability weighting approach is popular for evaluating treatment effects in observational studies, but extreme propensity scores could bias the estimator and induce excessive variance. Recently, the overlap weighting approach…

Methodology · Statistics 2022-06-22 Chao Cheng , Fan Li , Laine Thomas , Fan Li

Existing approaches to sample size calculations for developing clinical prediction models have focused on ensuring that the expected value of a chosen performance measure meets a pre-specified target. For example, to limit…

Methodology · Statistics 2025-09-18 Menelaos Pavlou , Rumana Z. Omar , Gareth Ambler

Safe reinforcement learning (RL) is a standard paradigm for safety-critical decision making. However, real-world safety constraints can be complex, subjective, and even hard to explicitly specify. Existing works on constraint inference rely…

Machine Learning · Computer Science 2026-05-25 Chenglin Li , Grant Ruan , Hua Geng

Although quantile regression to calculate risk measures has been widely established in the financial literature, when considering data observed at mixed--frequency, an extension is needed. In this paper, a model is suggested built on a…

Statistical Finance · Quantitative Finance 2023-03-17 Vincenzo Candila , Giampiero M. Gallo , Lea Petrella

Empirical research in economics increasingly relies on restricted-access data held by multiple firms or agencies, making it impossible to construct the estimator of interest on the pooled sample. At the same time, heavy-tailed distributions…

Methodology · Statistics 2026-05-06 Wen Zhang , Songshan Yang , Liping Zhu

This paper proposes a novel class of generalized Expected-Shortfall (ES) norms constructed via distortion risk measures, establishing a unified analytical framework for risk quantification. The proposed norms extend conventional ES…

Risk Management · Quantitative Finance 2025-07-15 Shuyu Gong , Taizhong Hu , Zhenfeng Zou

This paper studies distributionally robust optimization for a rich class of risk measures with ambiguity sets defined by $\phi$-divergences. The risk measures are allowed to be non-linear in probabilities, are represented by Choquet…

Optimization and Control · Mathematics 2025-04-15 Guanyu Jin , Roger J. A. Laeven , Dick den Hertog

Although the CML (Capital Market Line), the Intertemporal-CAPM, the CAPM/SML (Security Market Line) and the Intertemporal Arbitrage Pricing Theory (IAPT) are widely used in portfolio management, valuation and capital markets financing;…

General Finance · Quantitative Finance 2020-05-05 Michael Nwogugu

We study Cressie Read power divergence (CRPD) estimation for moment based models, focusing on finite sample behavior. While generalized empirical likelihood estimators, dual to CRPD, are known to outperform generalized method of moments…

Econometrics · Economics 2026-03-25 Jieun Lee , Anil K. Bera

Financial institutions have to allocate so-called "economic capital" in order to guarantee solvency to their clients and counter parties. Mathematically speaking, any methodology of allocating capital is a "risk measure", i.e. a function…

Condensed Matter · Physics 2011-08-09 Dirk Tasche

Uncertainty reduction is vital for improving system reliability and reducing risks. To identify the best target for uncertainty reduction, uncertainty importance measure is commonly used to prioritize the significance of input variable…

Applications · Statistics 2025-06-12 Shi-Shun Chen , Xiao-Yang Li

In practical optimization problems, we typically model uncertainty as a random variable though its true probability distribution is unobservable to the decision maker. Historical data provides some information of this distribution that we…

Optimization and Control · Mathematics 2025-01-28 Arjun Ramachandra , Napat Rujeerapaiboon , Melvyn Sim

This paper discusses an alternative explanation for the empirical findings contradicting the positive relationship between risk (variance) and reward (expected return). We show that these contradicting results might be due to the false…

Risk Management · Quantitative Finance 2017-04-19 Mihaly Ormos , Dusan Timotity

Survival outcomes are common in comparative effectiveness studies and require unique handling because they are usually incompletely observed due to right-censoring. A ``once for all'' approach for causal inference with survival outcomes…

Methodology · Statistics 2021-12-21 Shuxi Zeng , Fan Li , Liangyuan Hu , Fan Li

We discuss the coherence properties of Expected Shortfall (ES) as a financial risk measure. This statistic arises in a natural way from the estimation of the "average of the 100p % worst losses" in a sample of returns to a portfolio. Here p…

Statistical Mechanics · Physics 2013-12-31 Carlo Acerbi , Dirk Tasche
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