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We present a novel procedure for scaling relatively high frequency tail probability and quantile estimates for the conditional distribution of returns.

Risk Management · Quantitative Finance 2011-03-31 John Cotter

This paper considers panel data models where the conditional quantiles of the dependent variables are additively separable as unknown functions of the regressors and the individual effects. We propose two estimators of the quantile partial…

Econometrics · Economics 2020-09-30 Liang Chen

In this paper it is reconsidered the prediction problem in time series framework by using a new non-parametric approach. Through this reconsideration, the prediction is obtained by a weighted sum of past observed data. These weights are…

Machine Learning · Statistics 2021-01-27 Pedro Cadahía , Jose Manuel Bravo Caro

We investigate nonparametric drift estimation for multidimensional jump diffusions based on continuous observations. The results are derived under anisotropic smoothness assumptions and the estimators' performance is measured in terms of…

Statistics Theory · Mathematics 2023-10-02 Niklas Dexheimer

We introduce a novel regression model for the conditional left and right tail of a possibly heavy-tailed response. The proposed model can be used to learn the effect of covariates on an extreme value setting via a Lasso-type specification…

Methodology · Statistics 2021-08-11 Miguel de Carvalho , Soraia Pereira , Paula Pereira , Patrícia de Zea Bermudez

A continuous-time nonlinear regression model with L\'evy-driven linear noise process is considered. Sufficient conditions of consistency and asymptotic normality of the Whittle estimator for the parameter of the noise spectral density are…

Probability · Mathematics 2019-09-24 A. V. Ivanov , N. N. Leonenko , I. V. Orlovskyi

In this paper we introduce an efficient fat-tail measurement framework that is based on the conditional second moments. We construct a goodness-of-fit statistic that has a direct interpretation and can be used to assess the impact of…

Statistical Finance · Quantitative Finance 2022-11-01 Damian Jelito , Marcin Pitera

We consider generic stochastic optimization problems in the presence of side information which enables a more insightful decision. The side information constitutes observable exogenous covariates that alter the conditional probability…

Optimization and Control · Mathematics 2021-10-22 Prateek R. Srivastava , Yijie Wang , Grani A. Hanasusanto , Chin Pang Ho

We investigate a way of comparing and classifying tails of random variables. Our approach extends the notion of classical indices, such as exponential and moment indices, which are widely used measuring heaviness of tail functions. A…

Probability · Mathematics 2013-10-07 Jaakko Lehtomaa

Quantile regression is an increasingly important empirical tool in economics and other sciences for analyzing the impact of a set of regressors on the conditional distribution of an outcome. Extremal quantile regression, or quantile…

Methodology · Statistics 2018-01-08 Victor Chernozhukov , Ivan Fernandez-Val

This paper proposes a new approach to estimating the distribution of a response variable conditioned on observing some factors. The proposed approach possesses desirable properties of flexibility, interpretability, tractability and…

Methodology · Statistics 2023-03-16 Cheng Peng , Stanislav Uryasev

Recently, several spectra have emerged, designed to encapsulate the distributional characteristics of non-Gaussian stationary processes. This article introduces parametric families of generalized spectra based on the characteristic…

Statistics Theory · Mathematics 2026-03-31 Yuichi Goto , Gaspard Bernard

We propose a parsimonious quantile regression framework to learn the dynamic tail behaviors of financial asset returns. Our model captures well both the time-varying characteristic and the asymmetrical heavy-tail property of financial time…

Risk Management · Quantitative Finance 2020-10-19 Xing Yan , Weizhong Zhang , Lin Ma , Wei Liu , Qi Wu

We study the consistency and weak convergence of the conditional tail function and conditional Hill estimators under broad dependence assumptions for a heavy-tailed response sequence and a covariate sequence. Consistency is established…

Statistics Theory · Mathematics 2026-02-04 Martin Bladt , Laurits Glargaard , Theodor Henningsen

Conditional expectations given past observations in stationary time series are usually estimated directly by kernel estimators, or by plugging in kernel estimators for transition densities. We show that, for linear and nonlinear…

Statistics Theory · Mathematics 2016-08-14 Ursula U. Müller , Anton Schick , Wolfgang Wefelmeyer

In this paper we study the distribution tails and the moments of a condition number which arises in the study of homogeneous systems of linear inequalities. We consider the case where this system is defined by a Gaussian random matrix and…

Numerical Analysis · Mathematics 2025-10-20 Dennis Cheung , Felipe Cucker , Raphael Hauser

Truncated conditional expectation functions are objects of interest in a wide range of economic applications, including income inequality measurement, financial risk management, and impact evaluation. They typically involve truncating the…

Econometrics · Economics 2021-09-14 Tomasz Olma

In this paper a new smooth backfitting estimate is proposed for additive regression models. The estimate has the simple structure of Nadaraya--Watson smooth backfitting but at the same time achieves the oracle property of local linear…

Statistics Theory · Mathematics 2007-06-13 Enno Mammen , Byeong U. Park

We consider strictly stationary heavy tailed time series whose finite-dimensional exponent measures are concentrated on axes, and hence their extremal properties cannot be tackled using classical multivariate regular variation that is…

Statistics Theory · Mathematics 2014-10-10 Rafal Kulik , Philippe Soulier

We propose a way of transforming the problem of conditional density estimation into a single nonparametric regression task via the introduction of auxiliary samples. This allows leveraging regression methods that work well in high…

Machine Learning · Statistics 2025-11-25 Alexander G. Reisach , Olivier Collier , Alex Luedtke , Antoine Chambaz
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