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In this paper we estimate the mean-variance portfolio in the high-dimensional case using the recent results from the theory of random matrices. We construct a linear shrinkage estimator which is distribution-free and is optimal in the sense…

统计金融 · 定量金融 2023-04-19 Taras Bodnar , Yarema Okhrin , Nestor Parolya

The purpose of the present work is to construct estimators for the random effects in a fractional diffusion model using a hybrid estimation method where we combine parametric and nonparametric thechniques. We precisely consider $n$…

统计理论 · 数学 2025-06-13 Nesrine Chebli , Hamdi Fathallah , Yousri Slaoui

This paper considers a simulation-based estimator for a general class of Markovian processes and explores some strong consistency properties of the estimator. The estimation problem is defined over a continuum of invariant distributions…

概率论 · 数学 2010-01-14 Manuel S. Santos

Markov parameters play a key role in system identification. There exists many algorithms where these parameters are estimated using least-squares in a first, pre-processing, step, including subspace identification and multi-step…

系统与控制 · 电气工程与系统科学 2024-05-08 Jiabao He , Cristian R. Rojas , Håkan Hjalmarsson

Method of moment estimators exhibit appealing statistical properties, such as asymptotic unbiasedness, for nonconvex problems. However, they typically require a large number of samples and are extremely sensitive to model misspecification.…

统计计算 · 统计学 2016-03-30 Dustin Tran , Minjae Kim , Finale Doshi-Velez

It is preferred that feature selectors be \textit{stable} for better interpretabity and robust prediction. Ensembling is known to be effective for improving the stability of feature selectors. Since ensembling is time-consuming, it is…

机器学习 · 计算机科学 2021-08-04 Rina Onda , Zhengyan Gao , Masaaki Kotera , Kenta Oono

This paper develops an asymptotic distribution theory for an endogenous instrumentation approach in quantile predictive regressions when both generated covariates and persistent predictors are used. The generated covariates are obtained…

计量经济学 · 经济学 2024-04-23 Christis Katsouris

The present paper discusses the problem of estimating the finite population mean of study variable in simple random sampling in the presence of non response and response error together. The estimators in this article use auxiliary…

统计方法学 · 统计学 2014-04-08 Prayas Sharma , Rajesh Singh

This paper studies the portfolio optimization problem when the investor's utility is general and the return and volatility of the risky asset are fast mean-reverting, which are important to capture the fast-time scale in the modeling of…

数理金融 · 定量金融 2019-01-31 Ruimeng Hu

A model, based on a noncommutative geometry, unifying general relativity with quantum mechanics, is further develped. It is shown that the dynamics in this model can be described in terms of one-parameter groups of random operators. It is…

高能物理 - 理论 · 物理学 2009-10-31 M. Heller , W. Sasin

While there is an increasing amount of literature about Bayesian time series analysis, only a few Bayesian nonparametric approaches to multivariate time series exist. Most methods rely on Whittle's Likelihood, involving the second order…

统计方法学 · 统计学 2018-11-27 Alexander Meier , Claudia Kirch , Renate Meyer

We propose new nonparametric estimators of the integrated volatility of an It\^{o} semimartingale observed at discrete times on a fixed time interval with mesh of the observation grid shrinking to zero. The proposed estimators achieve the…

统计理论 · 数学 2014-05-30 Jean Jacod , Viktor Todorov

Functional data present as functions or curves possessing a spatial or temporal component. These components by nature have a fixed observational domain. Consequently, any asymptotic investigation requires modelling the increased correlation…

统计方法学 · 统计学 2024-03-11 Cory W. Natoli , Edward D. White , Beau A. Nunnally , Alex J. Gutman , Raymond R. Hill

This paper introduces a unified factor overnight GARCH-It\^o model for large volatility matrix estimation and prediction. To account for whole-day market dynamics, the proposed model has two different instantaneous factor volatility…

统计方法学 · 统计学 2023-07-31 Donggyu Kim , Minseog Oh , Xinyu Song , Yazhen Wang

A class of estimating functions is introduced for the regression parameter of the Cox proportional hazards model to allow unknown failure statuses on some study subjects. The consistency and asymptotic normality of the resulting estimators…

统计理论 · 数学 2007-08-22 Irene Gijbels , Danyu Lin , Zhiliang Ying

Over the last decade, nonparametric methods have gained increasing attention for modeling complex data structures due to their flexibility and minimal structural assumptions. In this paper, we study a general multivariate nonparametric…

统计方法学 · 统计学 2026-03-18 Kunal Rai , Archi Roy , Itai Dattner , Soudeep Deb

We consider estimation and control in linear time-varying dynamical systems from the perspective of regret minimization. Unlike most prior work in this area, we focus on the problem of designing causal estimators and controllers which…

机器学习 · 计算机科学 2021-06-24 Gautam Goel , Babak Hassibi

Criteria for identifying optimal adjustment sets yielding consistent estimation with minimal asymptotic variance of average treatment effects in parametric and nonparametric models have recently been established. In a single treatment time…

统计理论 · 数学 2025-10-06 David Adenyo , Mireille E Schnitzer , David Berger , Jason R Guertin , Denis Talbot

A hybrid dynamical system switches between dynamic regimes at time- or state-triggered events. We propose an offline algorithm that simultaneously estimates discrete and continuous components of a hybrid system's state. We formulate state…

最优化与控制 · 数学 2019-05-23 Jize Zhang , Andrew M. Pace , Samuel A. Burden , Aleksandr Aravkin

This paper develops a unified and computationally efficient method for change-point estimation along the time dimension in a non-stationary spatio-temporal process. By modeling a non-stationary spatio-temporal process as a piecewise…

统计方法学 · 统计学 2023-10-09 Zifeng Zhao , Ting Fung Ma , Wai Leong Ng , Chun Yip Yau
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