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There are hidden observables for inflation, such as features localized in position space, which do not manifest themselves when only one inflation trajectory is considered. To address this issue, we investigate inflation dynamics in a…

High Energy Physics - Theory · Physics 2012-10-02 Francis Duplessis , Yi Wang , Robert Brandenberger

We consider open multi-class queueing networks with general arrival processes, general processing time sequences and Bernoulli routing. The network is assumed to be operating under an arbitrary work-conserving scheduling policy that makes…

Probability · Mathematics 2021-11-23 Sarat Babu Moka , Yoni Nazarathy , Werner Scheinhardt

A general framework to describe a vast majority of biology-inspired systems is to model them as stochastic processes in which multiple couplings are in play at the same time. Molecular motors, chemical reaction networks, catalytic enzymes,…

Statistical Mechanics · Physics 2020-11-25 Daniel M. Busiello , Deepak Gupta , Amos Maritan

Partial observations of continuous time-series dynamics at arbitrary time stamps exist in many disciplines. Fitting this type of data using statistical models with continuous dynamics is not only promising at an intuitive level but also has…

Machine Learning · Computer Science 2021-10-29 Ruizhi Deng , Marcus A. Brubaker , Greg Mori , Andreas M. Lehrmann

Multivariate dynamic time series models are widely encountered in practical studies, e.g., modelling policy transmission mechanism and measuring connectedness between economic agents. To better capture the dynamics, this paper proposes a…

Econometrics · Economics 2020-10-06 Yayi Yan , Jiti Gao , Bin Peng

Continuous time random walks combining diffusive and ballistic regimes are introduced to describe a class of L\'evy walks on lattices. By including exponentially-distributed waiting times separating the successive jump events of a walker,…

Statistical Mechanics · Physics 2014-12-02 Giampaolo Cristadoro , Thomas Gilbert , Marco Lenci , David P. Sanders

We study valuation of swing options on commodity markets when the commodity prices are driven by multiple factors. The factors are modeled as diffusion processes driven by a multidimensional L\'evy process. We set up a valuation model in…

Pricing of Securities · Quantitative Finance 2013-02-27 Marcus Eriksson , Jukka Lempa , Trygve Kastberg Nilssen

Trading activities in financial systems create various channels through which systemic risk can propagate. An important contagion channel is financial fire sales, where a bank failure causes asset prices to fall due to asset liquidation,…

Physics and Society · Physics 2022-07-08 Tomokatsu Onaga , Fabio Caccioli , Teruyoshi Kobayashi

In this paper, we analyze the diversity of term structure functions (e.g., yield curves, swap curves, credit curves) constructed in a process which complies with some admissible properties: arbitrage-freeness, ability to fit market quotes…

Computational Finance · Quantitative Finance 2014-04-02 Areski Cousin , Ibrahima Niang

We develop a novel methodology for the proxy variable identification of firm productivity in the presence of productivity-modifying learning and spillovers which facilitates a unified "internally consistent" analysis of the spillover…

General Economics · Economics 2023-03-01 Emir Malikov , Shunan Zhao

We describe a high performance parallel implementation of a derivative pricing model, within which we introduce a new parallel method for the calibration of the industry standard SABR (stochastic-\alpha \beta \rho) stochastic volatility…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-01-15 Qasim Nasar-Ullah

We survey some new progress on the pricing models driven by fractional Brownian motion \cb{or} mixed fractional Brownian motion. In particular, we give results on arbitrage opportunities, hedging, and option pricing in these models. We…

Pricing of Securities · Quantitative Finance 2010-04-20 Christian Bender , Tommi Sottinen , Esko Valkeila

We focus on mean-variance hedging problem for models whose asset price follows an exponential additive process. Some representations of mean-variance hedging strategies for jump type models have already been suggested, but none is suited to…

Mathematical Finance · Quantitative Finance 2017-11-23 Takuji Arai , Yuto Imai

Multiplicative random cascade model naturally reproduces the intermittency or multifractality, which is frequently shown among hierarchical complex systems such as turbulence and financial markets. As described herein, we investigate the…

Statistical Finance · Quantitative Finance 2018-09-05 Jun-ichi Maskawa , Koji Kuroda , Joshin Murai

Despite numerous research efforts in applying deep learning to time series forecasting, achieving high accuracy in multi-step predictions for volatile time series like crude oil prices remains a significant challenge. Moreover, most…

Machine Learning · Computer Science 2024-07-17 Mohammed Alruqimi , Luca Di Persio

We describe how to apply the transport method to compute inflationary observables in a broad range of multiple-field models. The method is efficient and encompasses scenarios with curved field-space metrics, violations of slow-roll…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-20 Mafalda Dias , Jonathan Frazer , David Seery

Targeting a better understanding of credit market dynamics, the authors have studied a stochastic model named the Hawkes process. Describing trades arrival times, this kind of model allows for the capture of self-excitement and mutual…

Applications · Statistics 2019-02-12 Achraf Bahamou , Maud Doumergue , Philippe Donnat

As corporates and governments become more digital, they become vulnerable to various forms of cyber attack. Cyber insurance products have been used as risk management tools, yet their pricing does not reflect actual risk, including that of…

Risk Management · Quantitative Finance 2020-07-10 Jiwook Jang , Rosy Oh

In this paper, local linear estimators are adapted for the unknown infinitesimal coefficients associated with continuous-time asset return model with jumps, which can correct the bias automatically due to their simple bias representation.…

Statistics Theory · Mathematics 2018-02-15 Yuping Song , Ying Chen , Zhouwei Wang

We introduce a framework for generating highly multimodal datasets with explicitly calculable mutual information (MI) between modalities. This enables the construction of benchmark datasets that provide a novel testbed for systematic…

Machine Learning · Statistics 2026-02-26 Raheem Karim Hashmani , Garrett W. Merz , Helen Qu , Mariel Pettee , Kyle Cranmer