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We present positive evidence of price stability of cryptocurrencies as a medium of exchange. For the sample years from 2016 to 2020, the prices of major cryptocurrencies are found to be stable, relative to major financial assets.…

General Economics · Economics 2021-12-14 Tatsuru Kikuchi , Toranosuke Onishi , Kenichi Ueda

The financial market is nonpredictable, as according to the Bachelier, the mathematical expectation of the speculator is zero. Nevertheless, we observe in the price fluctuations the two distinct scales, short and long time. Behaviour of a…

Physics and Society · Physics 2008-12-02 R. Wojnar

We develop a framework for composite likelihood estimation of parametric continuous-time stationary Gaussian processes. We derive the asymptotic theory of the associated maximum composite likelihood estimator. We implement our approach on a…

Econometrics · Economics 2026-01-21 Mikkel Bennedsen , Kim Christensen , Peter Christensen

This study identifies the key factors influencing the price movements of major cryptocurrencies, Bitcoin, Binance Coin, Ethereum, Litecoin, Ripple, and Tether, using Bayesian networks (BNs). This study addresses two key challenges:…

Statistical Finance · Quantitative Finance 2025-08-22 Rasoul Amirzadeh , Asef Nazari , Dhananjay Thiruvady , Mong Shan Ee

The two dimensional BTW model of SOC, with probabilistically nonuniform distribution of particles among the nearest neighbouring sites, is studied by computer simulation. When the value of height variable of a particular site reaches the…

Statistical Mechanics · Physics 2016-09-23 Ajanta Bhowal Acharyya

Recent studies concerning the point electricity price forecasting have shown evidence that the hourly German Intraday Continuous Market is weak-form efficient. Therefore, we take a novel, advanced approach to the problem. A probabilistic…

Statistical Finance · Quantitative Finance 2021-02-02 Michał Narajewski , Florian Ziel

Cryptocurrencies are highly volatile financial instruments with more and more new retail investors joining the scene with each passing day. Bitcoin has always proved to determine in which way the rest of the cryptocurrency market is headed…

Statistical Finance · Quantitative Finance 2024-11-22 Rahul Arulkumaran , Suyash Kumar , Shikha Tomar , Manideep Gongalla , Harshitha

Positive feedback trading, which buys when prices rise and sells when prices fall, has long been criticized for being destabilizing as it moves prices away from the fundamentals. Motivated by the relationship between positive feedback…

Mathematical Finance · Quantitative Finance 2021-11-25 Aihua Li

Diffusion processes driven by Fractional Brownian motion (FBM) have often been considered in modeling stock price dynamics in order to capture the long range dependence of stock price observed in reality. Option prices for such models had…

Statistics Theory · Mathematics 2024-05-29 Ananya Lahiri , Rituparna Sen

In this paper, we present a new bivariate model for the joint description of the Bitcoin prices and the media attention to Bitcoin. Our model is based on the class of the L\'evy processes and is able to realistically reproduce the jump-type…

Statistical Finance · Quantitative Finance 2022-10-26 Ekaterina Morozova , Vladimir Panov

Quantization reduces the model's hardware costs, such as data movement, storage, and operations like multiply and addition. It also affects the model's behavior by degrading the output quality. Therefore, there is a need for methods that…

Machine Learning · Computer Science 2024-10-16 Alireza Khodamoradi , Kristof Denolf , Eric Dellinger

Volatility estimation is a central problem in financial econometrics, but becomes particularly challenging when jump activity is high, a phenomenon observed empirically in highly traded financial securities. In this paper, we revisit the…

Econometrics · Economics 2026-05-13 B. Cooper Boniece , José E. Figueroa-López , Tianwei Zhou

We discuss price variations distributions in foreign exchange markets, characterizing them both in calendar and business time frameworks. The price dynamics is found to be the result of two distinct processes, a multi-variance diffusion and…

Statistical Mechanics · Physics 2009-10-31 Michele Pasquini , Maurizio Serva

Several integrate-to-threshold models with differing temporal integration mechanisms have been proposed to describe the accumulation of sensory evidence to a prescribed level prior to motor response in perceptual decision-making tasks. An…

Neurons and Cognition · Quantitative Biology 2009-01-16 Xiang Zhou , KongFatt Wong-Lin , Philip Holmes

This study introduces a novel approach to walk-forward optimization by parameterizing the lengths of training and testing windows. We demonstrate that the performance of a trading strategy using the Exponential Moving Average (EMA)…

Trading and Market Microstructure · Quantitative Finance 2026-02-12 Tomasz Mroziewicz , Robert Ślepaczuk

This research aims to demonstrate a dynamic cointegration-based pairs trading strategy, including an optimal look-back window framework in the cryptocurrency market, and evaluate its return and risk by applying three different scenarios. We…

Trading and Market Microstructure · Quantitative Finance 2021-09-23 Masood Tadi , Irina Kortchmeski

We consider the discretized version of a (continuous-time) two-factor model introduced by Benth and coauthors for the electricity markets. For this model, the underlying is the exponent of a sum of independent random variables. We provide…

Pricing of Securities · Quantitative Finance 2012-05-21 Stéphane Goutte , Nadia Oudjane , Francesco Russo

The nonparametric estimation of the volatility and the drift coefficient of a scalar diffusion is studied when the process is observed at random time points. The constructed estimator generalizes the spectral method by Gobet, Hoffmann and…

Statistics Theory · Mathematics 2017-10-12 Jakub Chorowski , Mathias Trabs

Jump diffusion processes are widely used to model asset prices over time, mainly for their ability to capture complex discontinuous behavior, but inference on the model parameters remains a challenge. Here our goal is posterior inference on…

Methodology · Statistics 2017-02-23 Ryan Martin , Cheng Ouyang , Francois Domagni

Noncolliding diffusion processes reported in the present paper are $N$-particle systems of diffusion processes in one-dimension, which are conditioned so that all particles start from the origin and never collide with each other in a finite…

Probability · Mathematics 2011-05-05 Minami Izumi , Makoto Katori