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We extend the theory from Fan and Li (2001) on penalized likelihood-based estimation and model-selection to statistical and econometric models which allow for non-negativity constraints on some or all of the parameters, as well as…

计量经济学 · 经济学 2023-02-07 Heino Bohn Nielsen , Anders Rahbek

We develop a novel observation-driven model for high-frequency prices. We account for irregularly spaced observations, simultaneous transactions, discreteness of prices, and market microstructure noise. The relation between trade durations…

统计金融 · 定量金融 2024-05-09 Vladimír Holý

Recently Carr and Wu (2004, 2005) and also Huang and Wu (2004) show that most stochastic processes used in traditional option pricing models can be cast as special cases of time-changed L\'evy processes. In particular these are models which…

统计理论 · 数学 2008-12-10 Lancelot F. James

In this paper we study the possible microscopic origin of heavy-tailed probability density distributions for the price variation of financial instruments. We extend the standard log-normal process to include another random component in the…

统计金融 · 定量金融 2009-11-13 T. S. Biro , R. Rosenfeld

We introduce a variant of the Barndorff-Nielsen and Shephard stochastic volatility model where the non Gaussian Ornstein-Uhlenbeck process describes some measure of trading intensity like trading volume or number of trades instead of…

统计金融 · 定量金融 2008-12-02 Friedrich Hubalek , Petra Posedel

We consider a generalization of the variance-gamma (generalized asymmetric Laplace) distribution, defined as a normal mean - variance mixture with a gamma mixing distribution. While this model is typically studied in the univariate setting,…

统计方法学 · 统计学 2026-05-04 Tomasz J. Kozubowski , Andrey Sarantsev , James A. Spiker

We propose a new class of financial volatility models, called the REcurrent Conditional Heteroskedastic (RECH) models, to improve both in-sample analysis and out-ofsample forecasting of the traditional conditional heteroskedastic models. In…

计量经济学 · 经济学 2022-01-25 T. -N. Nguyen , M. -N. Tran , R. Kohn

We consider a class of latent Gaussian models with a univariate link function (ULLGMs). These are based on standard likelihood specifications (such as Poisson, Binomial, Bernoulli, Erlang, etc.) but incorporate a latent normal linear…

统计方法学 · 统计学 2025-04-11 Mark F. J. Steel , Gregor Zens

The marginal likelihood is a well established model selection criterion in Bayesian statistics. It also allows to efficiently calculate the marginal posterior model probabilities that can be used for Bayesian model averaging of quantities…

统计计算 · 统计学 2016-11-07 Aliaksandr Hubin , Geir Storvik

In presence of nuisance parameters, profile likelihood inference is often unreliable and biased, particularly in small sample scenario. Over past decades several adjustments have been proposed to modify profile likelihood function in…

统计理论 · 数学 2016-03-29 Md. Mazharul Islam , Md Hasinur Rahaman Khan

We consider a discrete latent variable model for two-way data arrays, which allows one to simultaneously produce clusters along one of the data dimensions (e.g. exchangeable observational units or features) and contiguous groups, or…

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…

数理金融 · 定量金融 2025-10-24 Semere Gebresilassie , Mulue Gebreslasie , Minglian Lin

We propose in this paper a random intercept Poisson model in which the random effect distribution is assumed to follow a generalized log-gamma (GLG) distribution. We derive the first two moments for the marginal distribution as well as the…

统计方法学 · 统计学 2011-05-12 Lizandra C. Fabio , Gilberto A. Paula , Mario de Castro

Generalized linear models (GLMs) are routinely used for modeling relationships between a response variable and a set of covariates. The simple form of a GLM comes with easy interpretability, but also leads to concerns about model…

统计方法学 · 统计学 2023-11-10 Davide Agnoletto , Tommaso Rigon , David B. Dunson

In this paper, we propose the realized Hyperbolic GARCH model for the joint-dynamics of lowfrequency returns and realized measures that generalizes the realized GARCH model of Hansen et al.(2012) as well as the FLoGARCH model introduced by…

统计方法学 · 统计学 2021-04-27 El Hadji Mamadou Sall , El Hadji Deme , Abdou Ka Diongue

We introduce the concept of "negative bubbles" as the mirror image of standard financial bubbles, in which positive feedback mechanisms may lead to transient accelerating price falls. To model these negative bubbles, we adapt the…

综合金融 · 定量金融 2015-03-13 Wanfeng Yan , Ryan Woodard , Didier Sornette

Sparsity-promoting priors have become increasingly popular over recent years due to an increased number of regression and classification applications involving a large number of predictors. In time series applications where observations are…

统计方法学 · 统计学 2012-03-02 François Caron , Luke Bornn , Arnaud Doucet

This paper proposes a class of parametric multiple-index time series models that involve linear combinations of time trends, stationary variables and unit root processes as regressors. The inclusion of the three different types of time…

计量经济学 · 经济学 2021-11-04 Chaohua Dong , Jiti Gao , Bin Peng , Yundong Tu

Stochastic volatility models describe stock returns $r_t$ as driven by an unobserved process capturing the random dynamics of volatility $v_t$. The present paper quantifies how much information about volatility $v_t$ and future stock…

数理金融 · 定量金融 2016-10-04 Oliver Pfante , Nils Bertschinger

We propose a continuous-time Markov-switching generalized autoregressive conditional heteroskedasticity (COMS-GARCH) process for handling irregularly spaced time series (TS) with multiple volatilities states. We employ a Gibbs sampler in…

统计方法学 · 统计学 2020-12-15 Yinan Li , Fang Liu