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Bayesian nonparametric mixture models offer a rich framework for model based clustering. We consider the situation where the kernel of the mixture is available only up to an intractable normalizing constant. In this case, most of the…

Computation · Statistics 2021-12-21 Mario Beraha , Riccardo Corradin

We consider an economy made of competing firms which are heterogeneous in their capital and use several inputs for producing goods. Their consumption policy is fixed rationally by maximizing a utility and their capital cannot fall below a…

Analysis of PDEs · Mathematics 2022-07-13 Yves Achdou , Guillaume Carlier , Quentin Petit , Daniela Tonon

Block modeling is widely used in studies on complex networks. The cornerstone model is the stochastic block model (SBM), widely used over the past decades. However, the SBM is limited in analyzing complex networks as the model is, in…

Social and Information Networks · Computer Science 2020-11-03 Wenning Zhang , Ryohei Hisano , Takaaki Ohnishi , Takayuki Mizuno

This paper proposes a semiparametric stochastic volatility (SV) model that relaxes the restrictive Gaussian assumption in both the return and volatility error terms, allowing them to follow flexible, nonparametric distributions with…

Computation · Statistics 2025-06-03 Yudong Feng , Ashis Gangopadhyay

We provide a flexible framework for selecting among a class of additive partial linear models that allows both linear and nonlinear additive components. In practice, it is challenging to determine which additive components should be…

Methodology · Statistics 2021-09-20 Seonghyun Jeong , Taeyoung Park , David A. van Dyk

We study the open dynamics of a quantum two-level system coupled to an environment modeled by random matrices. Using the quantum channel formalism, we investigate different quantum Markovianity measures and criteria. A thorough analysis of…

Quantum Physics · Physics 2019-10-30 M. Carrera , T. Gorin , C. Pineda

We introduce state-space models where the functionals of the observational and the evolutionary equations are unknown, and treated as random functions evolving with time. Thus, our model is nonparametric and generalizes the traditional…

Methodology · Statistics 2014-02-24 Anurag Ghosh , Soumalya Mukhopadhyay , Sandipan Roy , Sourabh Bhattacharya

Interactions among multiple time series of positive random variables are crucial in diverse financial applications, from spillover effects to volatility interdependence. A popular model in this setting is the vector Multiplicative Error…

Computation · Statistics 2021-07-12 Nicola Donelli , Stefano Peluso , Antonietta Mira

We present a framework for describing the evolution of stochastic observables having a non-stationary distribution of values. The framework is applied to empirical volume-prices from assets traded at the New York stock exchange. Using…

Statistical Finance · Quantitative Finance 2016-05-18 Paulo Rocha , Frank Raischel , João P. Boto , Pedro G. Lind

Nonparametric Bayesian models are used routinely as flexible and powerful models of complex data. Many times, a statistician may have additional informative beliefs about data distribution of interest, e.g., its mean or subset components,…

Methodology · Statistics 2022-11-08 Bingjing Tang , Vinayak Rao

We consider a mean-field model of firms competing \`a la Cournot on a commodity market, where the commodity price is given in terms of a power inverse demand function of the industry-aggregate production. Investment is irreversible and…

Optimization and Control · Mathematics 2023-05-02 René Aid , Matteo Basei , Giorgio Ferrari

A recent trend in Bayesian research has been revisiting generalizations of the likelihood that enable Bayesian inference without requiring the specification of a model for the data generating mechanism. This paper focuses on a Bayesian…

Methodology · Statistics 2024-06-03 Antonio R. Linero

Modelling the evolution of a system using stochastic dynamics typically implies a greater subjective uncertainty in the adopted system coordinates as time progresses, and stochastic entropy production has been developed as a measure of this…

Statistical Mechanics · Physics 2023-02-06 Jonathan Dexter , Ian J. Ford

Discrimination between non-stationarity and long-range dependency is a difficult and long-standing issue in modelling financial time series. This paper uses an adaptive spectral technique which jointly models the non-stationarity and…

Statistical Finance · Quantitative Finance 2019-02-12 Nick James , Roman Marchant , Richard Gerlach , Sally Cripps

Ensuring sufficient liquidity is one of the key challenges for designers of prediction markets. Various market making algorithms have been proposed in the literature and deployed in practice, but there has been little effort to evaluate…

Trading and Market Microstructure · Quantitative Finance 2010-09-09 Aseem Brahma , Sanmay Das , Malik Magdon-Ismail

Economy is demanding new models, able to understand and predict the evolution of markets. To this respect, Econophysics is offering models of markets as complex systems, such as the gas-like model, able to predict money distributions…

Chaotic Dynamics · Physics 2010-08-05 Carmen Pellicer-Lostao , Ricardo Lopez-Ruiz

This paper empirically assesses predictions of Goodwin's model of cyclical growth regarding demand and distributive regimes when integrating the real and financial sectors. In addition, it evaluates how financial and employment shocks…

General Economics · Economics 2024-01-15 Marcio Santetti

A Markovian modulation captures the trend in the market and influences the market coefficients accordingly. The different scenarios presented by the market are modeled as the distinct states of a discrete-time Markov chain. In our paper, we…

Optimization and Control · Mathematics 2022-02-09 Bernardo D'Auria , José A. Salmerón

We develop a stochastic macro-financial model in continuous time by integrating two specifications of the Keen economic framework with a financial market driven by a jump-diffusion process. The economic block of the model combines monetary…

General Finance · Quantitative Finance 2026-03-10 Matheus R. Grasselli , Adrien Nguyen-Huu

We present a novel approach to modeling market dynamics using ordinary differential equations that explicitly incorporates product competitiveness and consumer behavior. Our framework treats market segments as interacting populations in a…

Dynamical Systems · Mathematics 2025-11-26 Aparna Komarla , Max Hill