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Related papers: Multivariate Garch with dynamic beta

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Range-measured return contains more information than the traditional scalar-valued return. In this paper, we propose to model the [low, high] price range as a random interval and suggest an interval-valued GARCH (Int-GARCH) model for the…

Methodology · Statistics 2019-01-11 Yan Sun , Guanghua Lian , Zudi Lu , Jennifer Loveland , Isaac Blackhurst

Conditional heteroscedastic (CH) models are routinely used to analyze financial datasets. The classical models such as ARCH-GARCH with time-invariant coefficients are often inadequate to describe frequent changes over time due to market…

Statistics Theory · Mathematics 2021-03-09 Sayar Karmakar , Arkaprava Roy

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…

Methodology · Statistics 2026-03-18 Kunal Rai , Archi Roy , Itai Dattner , Soudeep Deb

Here, we have analysed a GARCH(1,1) model with the aim to fit higher order moments for different companies' stock prices. When we assume a gaussian conditional distribution, we fail to capture any empirical data when fitting the first three…

Econometrics · Economics 2021-03-31 Luke De Clerk , Sergey Savel'ev

Our article considers a regression model with observed factors. The observed factors have a flexible stochastic volatility structure that has separate dynamics for the volatilities and the correlation matrix. The correlation matrix of the…

Other Statistics · Statistics 2011-07-14 Yu-Cheng Ku , Peter Bloomfield , Robert Kohn

We discuss a bivariate beta distribution that can model arbitrary beta-distributed marginals with a positive correlation. The distribution is constructed from six independent gamma-distributed random variates. We show how the parameters of…

Statistics Theory · Mathematics 2021-06-03 Susanne Trick , Frank Jäkel , Constantin A. Rothkopf

Accurately estimating risk measures for financial portfolios is critical for both financial institutions and regulators. However, many existing models operate at the aggregate portfolio level and thus fail to capture the complex…

Portfolio Management · Quantitative Finance 2023-02-10 Emanuel Sommer , Karoline Bax , Claudia Czado

In an environment of increasingly volatile financial markets, the accurate estimation of risk remains a major challenge. Traditional econometric models, such as GARCH and its variants, are based on assumptions that are often too rigid to…

Artificial Intelligence · Computer Science 2025-08-19 Fredy Pokou , Jules Sadefo Kamdem , François Benhmad

We conduct an empirical study using the quantile-based correlation function to uncover the temporal dependencies in financial time series. The study uses intraday data for the S\&P 500 stocks from the New York Stock Exchange. After…

General Finance · Quantitative Finance 2015-07-20 Thilo A. Schmitt , Rudi Schäfer , Holger Dette , Thomas Guhr

HYGARCH model is basically used to model long-range dependence in volatility. We propose Markov switch smooth-transition HYGARCH model, where the volatility in each state is a time-dependent convex combination of GARCH and FIGARCH. This…

Statistics Theory · Mathematics 2018-03-05 Ferdous Mohammadi Basatini , Saeid Rezakhah

We develop an efficient sampling approach for handling complex missing data patterns and a large number of missing observations in conditionally Gaussian state space models. Two important examples are dynamic factor models with unbalanced…

Econometrics · Economics 2023-02-08 Joshua C. C. Chan , Aubrey Poon , Dan Zhu

Large-scale matrix data has been widely discovered and continuously studied in various fields recently. Considering the multi-level factor structure and utilizing the matrix structure, we propose a multilevel matrix factor model with both…

Methodology · Statistics 2023-10-24 Yuteng Zhang , Yongchang Hui , Junrong Song , Shurong Zheng

We propose a fast and flexible method to scale multivariate return volatility predictions up to high-dimensions using a dynamic risk factor model. Our approach increases parsimony via time-varying sparsity on factor loadings and is able to…

Statistical Finance · Quantitative Finance 2021-11-15 Bruno P. C. Levy , Hedibert F. Lopes

Using a time-varying approach, this paper examines the dynamics of volatility in the REIT sector. The results highlight the attractiveness and suitability of using GARCH based approaches in the modeling of daily REIT volatility. The paper…

Statistical Finance · Quantitative Finance 2011-03-29 John Cotter , Simon Stevenson

Heteroskedasticity is a common feature of financial time series and is commonly addressed in the model building process through the use of ARCH and GARCH processes. More recently multivariate variants of these processes have been in the…

Methodology · Statistics 2015-12-18 Alexander Aue , Lajos Horvath , Daniel Pellatt

A new methodology has been introduced to clean the correlation matrix of single stocks returns based on a constrained principal component analysis using financial data. Portfolios were introduced, namely "Fundamental Maximum Variance…

Portfolio Management · Quantitative Finance 2020-01-27 Sebastien Valeyre

We consider goodness-of-fit methods for multivariate symmetric and asymmetric stable Paretian random vectors in arbitrary dimension. The methods are based on the empirical characteristic function and are implemented both in the i.i.d.…

Statistics Theory · Mathematics 2023-12-20 Simos G. Meintanis , John P. Nolan , Charl Pretorius

For a covariance matrix coming from a factor model of returns, we investigate the relationship between the long-only global minimum variance portfolio and the asset exposures to the factors. In the case of a 1-factor model, we provide a…

Mathematical Finance · Quantitative Finance 2026-03-10 Nick L. Gunther , Alec N. Kercheval , Ololade Sowunmi

We give an explicit formulaic algorithm and source code for building long-only benchmark portfolios and then using these benchmarks in long-only market outperformance strategies. The benchmarks (or the corresponding betas) do not involve…

Portfolio Management · Quantitative Finance 2018-08-02 Zura Kakushadze , Willie Yu

The advantages of sequential Monte Carlo (SMC) are exploited to develop parameter estimation and model selection methods for GARCH (Generalized AutoRegressive Conditional Heteroskedasticity) style models. It provides an alternative method…

Applications · Statistics 2020-03-06 Dan Li , Adam Clements , Christopher Drovandi
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