English
Related papers

Related papers: Asymptotics for aggregated interdependent multivar…

200 papers

We propose a novel strategy for multivariate extreme value index estimation. In applications such as finance, volatility and risk present in the components of a multivariate time series are often driven by the same underlying factors, such…

Statistics Theory · Mathematics 2020-03-24 Joni Virta , Niko Lietzén , Lauri Viitasaari , Pauliina Ilmonen

This study investigates the dynamics of alternating minimization applied to a bilinear regression task with normally distributed covariates, under the asymptotic system size limit where the number of parameters and observations diverge at…

Optimization and Control · Mathematics 2025-02-03 Koki Okajima , Takashi Takahashi

Consider two insurance companies (or two branches of the same company) that divide between them both claims and premia in some specified proportions. We model the occurrence of claims according to a renewal process. One ruin problem…

Probability · Mathematics 2009-01-16 Florin Avram , Zbigniew Palmowski , Martijn R. Pistorius

We propose and axiomatize preferences on a product state space in light of uncertainty regarding the dependency of different payoff-relevant factors. Dependence structures allow to decompose probabilities and allow to pin down behavior…

Theoretical Economics · Economics 2026-05-28 Gerrit Bauch , Lorenz Hartmann

We consider a complex-valued linear mixture model, under discrete weakly stationary processes. We recover latent components of interest, which have undergone a linear mixing. We study asymptotic properties of a classical unmixing estimator,…

Statistics Theory · Mathematics 2020-03-12 Niko Lietzén , Lauri Viitasaari , Pauliina Ilmonen

The standard approach to analyzing the asymptotic complexity of probabilistic programs is based on studying the asymptotic growth of certain expected values (such as the expected termination time) for increasing input size. We argue that…

Formal Languages and Automata Theory · Computer Science 2023-07-13 Michal Ajdarów , Antonín Kučera

Semi-competing risks refer to the phenomenon where a primary event (such as mortality) can ``censor'' an intermediate event (such as relapse of a disease), but not vice versa. Under the multi-state model, the primary event consists of two…

Methodology · Statistics 2024-10-10 Yuhao Deng , Yi Wang , Xiang Zhan , Xiao-Hua Zhou

A population-averaged additive subdistribution hazards model is proposed to assess the marginal effects of covariates on the cumulative incidence function and to analyze correlated failure time data subject to competing risks. This approach…

Methodology · Statistics 2023-08-23 Xinyuan Chen , Denise Esserman , Fan Li

We evaluate priors by the second order asymptotic behavior of the corresponding estimators.Under certain regularity conditions, the risk differences between efficient estimators of parameters taking values in a domain D, an open connected…

Statistics Theory · Mathematics 2010-03-08 J. A. Hartigan

We consider the problem of efficient inference of the Average Treatment Effect in a sequential experiment where the policy governing the assignment of subjects to treatment or control can change over time. We first provide a central limit…

Machine Learning · Statistics 2024-03-05 Thomas Cook , Alan Mishler , Aaditya Ramdas

In Bayesian nonparametric inference, random discrete probability measures are commonly used as priors within hierarchical mixture models for density estimation and for inference on the clustering of the data. Recently, it has been shown…

Statistics Theory · Mathematics 2012-11-26 Stefano Favaro , Antonio Lijoi , Igor Prünster

A factor copula model is proposed in which factors are either simulable or estimable from exogenous information. Point estimation and inference are based on a simulated methods of moments (SMM) approach with non-overlapping simulation…

Econometrics · Economics 2022-12-02 Alexander Mayer , Dominik Wied

Maximum entropy estimation is of broad interest for inferring properties of systems across many different disciplines. In this work, we significantly extend a technique we previously introduced for estimating the maximum entropy of a set of…

Data Analysis, Statistics and Probability · Physics 2016-01-05 Elliot A. Martin , Jaroslav Hlinka , Alexander Meinke , Filip Děchtěrenko , Jörn Davidsen

Measuring the contribution of a bank or an insurance company to overall systemic risk is a key concern, particularly in the aftermath of the 2007--2009 financial crisis and the 2020 downturn. In this paper, we derive worst-case and…

Risk Management · Quantitative Finance 2025-11-18 Jinghui Chen , Edward Furman , X. Sheldon Lin

Asymptotics deviation probabilities of the sum S n = X 1 + $\times$ $\times$ $\times$ + X n of independent and identically distributed real-valued random variables have been extensively investigated , in particular when X 1 is not…

Probability · Mathematics 2020-10-20 Thierry Klein , Agnès Lagnoux , Pierre Petit

In modern data analysis, it is common to select a model before performing statistical inference. Selective inference tools make adjustments for the model selection process in order to ensure reliable inference post selection. In this paper,…

Methodology · Statistics 2025-02-24 Yumeng Wang , Snigdha Panigrahi , Xuming He

This paper studies large sample properties of a Bayesian approach to inference about slope parameters $\gamma$ in linear regression models with a structural break. In contrast to the conventional approach to inference about $\gamma$ that…

Econometrics · Economics 2023-08-15 Kenichi Shimizu

Machine learning in asset pricing typically predicts expected returns as point estimates, ignoring uncertainty. We develop new methods to construct forecast confidence intervals for expected returns obtained from neural networks. We show…

Econometrics · Economics 2025-03-04 Yuan Liao , Xinjie Ma , Andreas Neuhierl , Linda Schilling

This paper introduces a unified micro-level stochastic framework for the joint modeling of loss reserves (RBNS), incurred but not reported (IBNR) reserves, and unearned premium risk under dependence, inflation, and discounting. The proposed…

Applications · Statistics 2025-12-15 Emmanuel Hamel , Anas Abdallah , Ghislain Léveillé

Non-standard distributional approximations have received considerable attention in recent years. They often provide more accurate approximations in small samples, and theoretical improvements in some cases. This paper shows that the…

Statistics Theory · Mathematics 2017-12-12 Matias D. Cattaneo , Michael Jansson , Whitney K. Newey