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In an efficient stock market, the returns and their time-dependent volatility are often jointly modeled by stochastic volatility models (SVMs). Over the last few decades several SVMs have been proposed to adequately capture the defining…

Applications · Statistics 2017-03-21 Sujay Mukhoti , Pritam Ranjan

In structured additive distributional regression, the conditional distribution of the response variables given the covariate information and the vector of model parameters is modelled using a P-parametric probability density function where…

Computation · Statistics 2025-02-06 Gianmarco Callegher , Thomas Kneib , Johannes Söding , Paul Wiemann

In this paper we introduce a multilevel specification with stochastic volatility for repeated cross-sectional data. Modelling the time dynamics in repeated cross sections requires a suitable adaptation of the multilevel framework where the…

Applications · Statistics 2016-03-08 Silvia Cagnone , Simone Giannerini , Lucia Modugno

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

We introduce a novel stochastic volatility model where the squared volatility of the asset return follows a Jacobi process. It contains the Heston model as a limit case. We show that the joint density of any finite sequence of log returns…

Mathematical Finance · Quantitative Finance 2018-10-31 Damien Ackerer , Damir Filipović , Sergio Pulido

This paper develops a novel framework for modeling the variance swap of multi-asset portfolios by employing the generalized variance approach, which utilizes the determinant of the covariance matrix of the underlying assets. By specifying…

Mathematical Finance · Quantitative Finance 2025-10-24 Semere Gebresilassie , Mulue Gebreslasie , Minglian Lin

We consider heteroscedastic nonparametric regression models, when both the mean function and variance function are unknown and to be estimated with nonparametric approaches. We derive convergence rates of posterior distributions for this…

Statistics Theory · Mathematics 2010-10-07 Yuao Hu

We consider the tail probabilities of stock returns for a general class of stochastic volatility models. In these models, the stochastic differential equation for volatility is autonomous, time-homogeneous and dependent on only a finite…

Statistical Finance · Quantitative Finance 2019-03-21 Henrik O. Rasmussen , Paul Wilmott

When combining apparently inconsistent experimental results, one often implements errors on errors. The Particle Data Group's phenomenological prescription offers a practical solution but lacks a firm theoretical foundation. To address…

High Energy Physics - Phenomenology · Physics 2025-08-22 Satoshi Mishima , Kin-ya Oda

The problem of non-stationarity in financial markets is discussed and related to the dynamic nature of price volatility. A new measure is proposed for estimation of the current asset volatility. A simple and illustrative explanation is…

Statistical Finance · Quantitative Finance 2016-09-08 Sergey S. Stepanov

Stochastic volatility processes are used in multivariate time-series analysis to track time-varying patterns in covariance matrices. Uhlig extended and beta-Bartlett processes are especially convenient for analyzing high-dimensional…

Statistics Theory · Mathematics 2021-05-06 Víctor Peña , Kaoru Irie

Using microscopic price models based on Hawkes processes, it has been shown that under some no-arbitrage condition, the high degree of endogeneity of markets together with the phenomenon of metaorders splitting generate rough Heston-type…

Statistical Finance · Quantitative Finance 2021-01-20 Aditi Dandapani , Paul Jusselin , Mathieu Rosenbaum

Volatility estimation based on high-frequency data is key to accurately measure and control the risk of financial assets. A L\'{e}vy process with infinite jump activity and microstructure noise is considered one of the simplest, yet…

Statistics Theory · Mathematics 2019-09-12 Qi Wang , José E. Figueroa-López , Todd Kuffner

We propose a novel distributional regression model for a multivariate response vector based on a copula process over the covariate space. It uses the implicit copula of a Gaussian multivariate regression, which we call a ``regression…

Methodology · Statistics 2024-03-06 Nadja Klein , Michael Stanley Smith , David Nott , Ryan Chisholm

This paper proposes a hierarchical modeling approach to perform stochastic model specification in Markov switching vector error correction models. We assume that a common distribution gives rise to the regime-specific regression…

Econometrics · Economics 2019-09-06 Niko Hauzenberger , Florian Huber , Michael Pfarrhofer , Thomas O. Zörner

In this paper, we price European Call three different option pricing models, where the volatility is dynamically changing i.e. non constant. In stochastic volatility (SV) models for option pricing a closed form approximation technique is…

Pricing of Securities · Quantitative Finance 2023-09-19 Natasha Latif , Shafqat Ali Shad , Muhammad Usman , Chandan Kumar , Bahman B Motii , MD Mahfuzer Rahman , Khuram Shafi , Zahra Idrees

There has been significant progress in Bayesian inference based on sparsity-inducing (e.g., spike-and-slab and horseshoe-type) priors for high-dimensional regression models. The resulting posteriors, however, in general do not possess…

Econometrics · Economics 2025-12-11 Qihui Chen , Zheng Fang , Ruixuan Liu

The variance--covariance matrix plays a central role in the inferential theories of high-dimensional factor models in finance and economics. Popular regularization methods of directly exploiting sparsity are not directly applicable to many…

Methodology · Statistics 2012-03-15 Jianqing Fan , Yuan Liao , Martina Mincheva

Financial time series exhibit two different type of non linear correlations: (i) volatility autocorrelations that have a very long range memory, on the order of years, and (ii) asymmetric return-volatility (or `leverage') correlations that…

Statistical Mechanics · Physics 2008-12-02 Josep Perello , Jaume Masoliver , Jean-Philippe Bouchaud

Sharpe ratio is widely used in asset management to compare and benchmark funds and asset managers. It computes the ratio of the excess return over the strategy standard deviation. However, the elements to compute the Sharpe ratio, namely,…

Statistical Finance · Quantitative Finance 2019-05-15 Eric Benhamou
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