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Modeling the dynamics of non-stationary stochastic systems requires balancing the representational power of deep learning with the mathematical transparency of classical models. While classical Markov transition operators provide explicit,…

Machine Learning · Computer Science 2026-05-07 Jan Rovirosa , Jesse Schmolze

We propose a nonparametric algorithm to detect structural breaks in the conditional mean and/or variance of a time series. Our method does not assume any specific parametric form for the dependence structure of the regressor, the time…

Methodology · Statistics 2024-10-22 Archi Roy , Moumanti Podder , Soudeep Deb

In this work we re-investigate pros and cons of mutated hilltop inflation. Applying Hamilton-Jacobi formalism we solve inflationary dynamics and find that inflation goes on along the ${\cal W}_{-1}$ branch of the Lambert function. Depending…

General Relativity and Quantum Cosmology · Physics 2018-05-15 Barun Kumar Pal

Performing numerical integration when the integrand itself cannot be evaluated point-wise is a challenging task that arises in statistical analysis, notably in Bayesian inference for models with intractable likelihood functions. Markov…

Computation · Statistics 2020-06-17 Lawrence Middleton , George Deligiannidis , Arnaud Doucet , Pierre E. Jacob

This paper introduces a new type of risk measures, namely regime switching entropic risk measures, and study their applicability through simulations. The state of the economy is incorporated into the entropic risk formulation by using a…

Risk Management · Quantitative Finance 2021-12-28 Babacar Seck , Robert J. Elliott

A Markov decision process can be parameterized by a transition kernel and a reward function. Both play essential roles in the study of reinforcement learning as evidenced by their presence in the Bellman equations. In our inquiry of various…

Machine Learning · Computer Science 2023-09-04 Falcon Z. Dai

This article proposes an estimation method to detect breakpoints for linear time series models with their parameters that jump scarcely. Its basic idea owes the group LASSO (group least absolute shrinkage and selection operator). The method…

Econometrics · Economics 2022-02-08 Mikio Ito

In single clock models of inflation the coupling between modes of very different scales does not have any significant dynamical effect during inflation. It leads to interesting projection effects. Larger and smaller modes change the…

High Energy Physics - Theory · Physics 2015-06-04 Leonardo Senatore , Matias Zaldarriaga

This paper presents the CMB angular power spectrum obtained using the \texttt{CAMB} code for three different models of inflation: the Starobinsky inflationary model, the generalized Starobinsky inflationary model, and the chaotic…

General Relativity and Quantum Cosmology · Physics 2024-10-23 Daniel Pozo , Lenin Calvache , Esteban Orozco , Vicente A. Arévalo , Clara Rojas

The impact of trades on asset prices is a crucial aspect of market dynamics for academics, regulators and practitioners alike. Recently, universal and highly nonlinear master curves were observed for price impacts aggregated on all…

Trading and Market Microstructure · Quantitative Finance 2018-01-17 Felix Patzelt , Jean-Philippe Bouchaud

As a quantitative characterization of the complicated economy, Macroeconomic Variables (MEVs), including GDP, inflation, unemployment, income, spending, interest rate, etc., are playing a crucial role in banks' portfolio management and…

Risk Management · Quantitative Finance 2024-05-22 Garvit Arora , Shubhangi Tiwari , Ying Wu , Xuan Mei

We discuss and extend methods for estimating Markovian-Regime-Switching (MRS) and trend models for wholesale electricity prices. We argue the existing methods of trend estimation used in the electricity price modelling literature either…

Methodology · Statistics 2020-09-17 Angus Lewis , Nigel Bean , Giang Nguyen

In response to the increasing deployment of battery storage systems for cost reduction and grid stress mitigation, this study presents the development of a new real-time Markov decision process model to efficiently schedule battery systems…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Hussein Sharadga , Ahmad Dawahdeh , Golbon Zakeri , Abdullah Hayajneh , Geoff Pritchard

Dynamic networks exhibit temporal patterns that vary across different time scales, all of which can potentially affect processes that take place on the network. However, most data-driven approaches used to model time-varying networks…

Physics and Society · Physics 2017-12-27 Tiago P. Peixoto , Laetitia Gauvin

I introduce a high-dimensional Bayesian vector autoregressive (BVAR) framework designed to estimate the effects of conventional monetary policy shocks. The model captures structural shocks as latent factors, enabling computationally…

Econometrics · Economics 2025-05-13 Dimitris Korobilis

The aim of this work is to build financial crisis indicators based on spectral properties of the dynamics of market data. After choosing an optimal size for a rolling window, the historical market data in this window is seen every trading…

Mathematical Finance · Quantitative Finance 2017-09-11 Antoine Kornprobst , Raphael Douady

This paper develops a new toolbox for multiple structural break detection in panel data models with interactive effects. The toolbox includes tests for the presence of structural breaks, a break date estimator, and a break date confidence…

Econometrics · Economics 2023-01-27 Jan Ditzen , Yiannis Karavias , Joakim Westerlund

We develop general criteria to construct unified frameworks for inflation and quintessence which employ a unique scalar field to drive both. By using such a minimal theoretical framework we avoid having to fine-tune couplings and…

Astrophysics · Physics 2008-11-26 K. Dimopoulos , J. W. F. Valle

In this paper, we consider a discrete time economy where we assume that the short term interest rate follows a quadratic term structure of a regime switching asset process. The possible non-linear structure and the fact that the interest…

Pricing of Securities · Quantitative Finance 2013-05-14 Stéphane Goutte

The growing attention on cryptocurrencies has led to increasing research on digital stock markets. Approaches and tools usually applied to characterize standard stocks have been applied to the digital ones. Among these tools is the…

Computational Finance · Quantitative Finance 2023-08-16 Tanya Araújo , Paulo Barbosa