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Accurate forecasting of Bitcoin (BTC) has always been a challenge because decentralized markets are non-linear, highly volatile, and have temporal irregularities. Existing deep learning models often struggle with interpretability and…

Machine Learning · Computer Science 2026-02-16 Raiz Ud Din , Saddam Hussain Khan

The search for patterns in time series is a very common task when dealing with complex systems. This is usually accomplished by employing a complexity measure such as entropies and fractal dimensions. However, such measures usually only…

Data Analysis, Statistics and Probability · Physics 2017-06-13 Haroldo V. Ribeiro , Max Jauregui , Luciano Zunino , Ervin K. Lenzi

Financial time series prediction, a growing research topic, has attracted considerable interest from scholars, and several approaches have been developed. Among them, decomposition-based methods have achieved promising results. Most…

Statistical Finance · Quantitative Finance 2023-01-02 Hamid Nasiri , Mohammad Mehdi Ebadzadeh

A few characteristic exponents describing power law behaviors of roughness, coherence and persistence in stochastic time series are compared to each other. Relevant techniques for analyzing such time series are recalled in order to…

Statistical Mechanics · Physics 2007-05-23 M. Ausloos

Many financial variables are found to exhibit multifractal nature, which is usually attributed to the influence of temporal correlations and fat-tailedness in the probability distribution (PDF). Based on the partition function approach of…

Statistical Finance · Quantitative Finance 2012-01-13 Wei-Xing Zhou

Financial time series exhibit a number of interesting properties that are difficult to explain with simple models. These properties include fat-tails in the distribution of price fluctuations (or returns) that are slowly removed at longer…

Statistical Finance · Quantitative Finance 2013-11-19 Raoul Golan , Austin Gerig

Oil price data have a complicated multi-scale structure that may vary with time. We use time-frequency analysis to identify the main features of these variations and, in particular, the regime shifts. The analysis is based on a…

Statistical Finance · Quantitative Finance 2019-05-01 Josselin Garnier , Knut Solna

This paper presents a stochastic model for block arrival times based on the difficulty retargeting rule used in Bitcoin, as well as other proof-of-work blockchains. Unlike some previous work, this paper explicitly models the difficulty…

Cryptography and Security · Computer Science 2018-12-31 Daniel Fullmer , A. S. Morse

This paper aims at solving FX market volatility modeling problem and finding the most becoming approach to this task. Validity of two competing approaches, classical econometric generalized conditional heteroscedasticity and mathematical…

Mathematical Finance · Quantitative Finance 2021-04-30 Anton Koshelev

We introduce Multivariate Multiscale Graph-based Dispersion Entropy (mvDEG), a novel, computationally efficient method for analyzing multivariate time series data in graph and complex network frameworks, and demonstrate its application in…

Combinatorics · Mathematics 2024-05-02 John Stewart Fabila-Carrasco , Chao Tan , Javier Escudero

When common factors strongly influence two power-law cross-correlated time series recorded in complex natural or social systems, using classic detrended cross-correlation analysis (DCCA) without considering these common factors will bias…

Statistical Finance · Quantitative Finance 2015-06-29 Xi-Yuan Qian , Ya-Min Liu , Zhi-Qiang Jiang , Boris Podobnik , Wei-Xing Zhou , H. Eugene Stanley

Multivariate probability density functions of returns are constructed in order to model the empirical behavior of returns in a financial time series. They describe the well-established deviations from the Gaussian random walk, such as an…

Condensed Matter · Physics 2007-08-23 E. Alessio , V. Frappietro , M. I. Krivoruchenko , L. J. Streckert

We present a brief overview of random matrix theory (RMT) with the objectives of highlighting the computational results and applications in financial markets as complex systems. An oft-encountered problem in computational finance is the…

Statistical Finance · Quantitative Finance 2018-09-27 Hirdesh K. Pharasi , Kiran Sharma , Anirban Chakraborti , Thomas H. Seligman

We use the methodology of singular spectrum analysis (SSA), principal component analysis (PCA), and multi-fractal detrended fluctuation analysis (MFDFA), for investigating characteristics of vibration time series data from a friction brake.…

Chaotic Dynamics · Physics 2015-06-23 Nikolay K. Vitanov , Norbert P. Hoffmann , Boris Wernitz

Currently, there is no consensus on the real properties of Bitcoin. The discussion comprises its use as a speculative or safe haven assets, while other authors argue that the augmented attractiveness could end accomplishing money's…

Economics · Quantitative Finance 2017-06-06 Obryan Poyser

This work examines challenges associated with the accuracy of machine-learned force fields (MLFFs) for bulk solid and liquid phases of d-block elements. In exhaustive detail, we contrast the performance of force, energy, and stress…

We analyze the first and second moment risk premia in the Bitcoin market based on options and realized returns and contrast them to the premia embedded in the main US stock index market. First, Bitcoin is much more volatile and has a higher…

General Economics · Economics 2025-08-04 Caio Almeida , Maria Grith , Ratmir Miftachov , Zijin Wang

Nowadays, when crashes and crises are rather frequent events, an effective monitoring system for the international financial market is needed. Modern nonlinear methods, such as Recurrence Quantification Analysis (RQA), demonstrate the…

Statistical Finance · Quantitative Finance 2011-12-02 Sergii Piskun , Oleksandr Piskun , Dmitry Chabanenko

Financial time series prediction, especially with machine learning techniques, is an extensive field of study. In recent times, deep learning methods (especially time series analysis) have performed outstandingly for various industrial…

Machine Learning · Computer Science 2019-03-01 Sangyeon Kim , Myungjoo Kang

In this paper we propose a deep recurrent architecture for the probabilistic modelling of high-frequency market prices, important for the risk management of automated trading systems. Our proposed architecture incorporates probabilistic…

Statistical Finance · Quantitative Finance 2020-04-06 Ye-Sheen Lim , Denise Gorse