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This paper introduces new methods to study behaviours among the 52 largest cryptocurrencies between 01-01-2019 and 30-06-2021. First, we explore evolutionary correlation behaviours and apply a recently proposed turning point algorithm to…

Statistical Finance · Quantitative Finance 2022-11-15 Nick James , Max Menzies

In present paper, we investigate the multifractality signatures in hourly time series extracted from CoRoT spacecraft database. Our analysis is intended to highlight the possibility that astrophysical time series can be members of a…

Recently, cryptocurrencies have attracted a growing interest from investors, practitioners and researchers. Nevertheless, few studies have focused on the predictability of them. In this paper we propose a new and comprehensive study about…

Statistical Finance · Quantitative Finance 2020-04-27 Roy Cerqueti , Massimiliano Giacalone , Raffaele Mattera

Recently the statistical characterizations of financial markets based on physics concepts and methods attract considerable attentions. We used two possible procedures of analyzing multifractal properties of a time series. The first one uses…

Data Analysis, Statistics and Probability · Physics 2008-12-02 A. Ganchuk , V. Derbentsev , V. Soloviev

This paper offers a thorough examination of the univariate predictability in cryptocurrency time-series. By exploiting a combination of complexity measure and model predictions we explore the cryptocurrencies time-series forecasting task…

Statistical Finance · Quantitative Finance 2025-02-14 Francesco Puoti , Fabrizio Pittorino , Manuel Roveri

In this manuscript we present a comprehensive study on the multifractal properties of high-frequency price fluctuations and instantaneous volatility of the equities that compose Dow Jones Industrial Average. The analysis consists about…

Statistical Finance · Quantitative Finance 2008-12-02 Jeferson de Souza , Silvio M. Duarte Queiros

Financial markets provide an ideal frame for the study of crossing or first-passage time events of non-Gaussian correlated dynamics mainly because large data sets are available. Tick-by-tick data of six futures markets are herein considered…

Statistical Finance · Quantitative Finance 2011-12-23 Josep Perelló , Mario Gutiérrez-Roig , Jaume Masoliver

Kurtosis is seen as a measure of the discrepancy between the observed data and a Gaussian distribution and is defined when the 4th moment is finite. In this work an empirical study is conducted to investigate the behaviour of the sample…

Statistical Finance · Quantitative Finance 2018-11-06 J. Martin van Zyl

The review introduces the history of cryptocurrencies, offering a description of the blockchain technology behind them. Differences between cryptocurrencies and the exchanges on which they are traded have been shown. The central part…

Statistical Finance · Quantitative Finance 2021-03-10 Marcin Wątorek , Stanisław Drożdż , Jarosław Kwapień , Ludovico Minati , Paweł Oświęcimka , Marek Stanuszek

Stablecoins, digital assets pegged to a specific currency or commodity value, are heavily involved in transactions of major cryptocurrencies. The effects of deviations from their desired fixed values (depeggings) on the cryptocurrencies for…

Statistical Finance · Quantitative Finance 2022-05-16 Connor Oxenhorn

The statistical properties of the increments x(t+T) - x(t) of a financial time series depend on the time resolution T on which the increments are considered. A non-parametric approach is used to study the scale dependence of the empirical…

Statistical Mechanics · Physics 2008-12-02 Rama Cont

This is the first paper that estimates the price determinants of BitCoin in a Generalised Autoregressive Conditional Heteroscedasticity framework using high frequency data. Derived from a theoretical model, we estimate BitCoin transaction…

Statistical Finance · Quantitative Finance 2018-12-27 Pavel Ciaian , d'Artis Kancs , Miroslava Rajcaniova

A model is proposed for Bitcoin prices that takes into account market attention. Market attention, modeled by a mean-reverting Cox-Ingersoll-Ross processes, affects the volatility of Bitcoin returns, with some delay. The model is affine and…

Pricing of Securities · Quantitative Finance 2024-01-17 Alvaro Guinea Julia , Alet Roux

A main focus in economics research is understanding the time series of prices of goods and assets. While statistical models using only the properties of the time series itself have been successful in many aspects, we expect to gain a better…

Physics and Society · Physics 2014-12-15 Dániel Kondor , István Csabai , János Szüle , Márton Pósfai , Gábor Vattay

We study the temporal fluctuations in time-dependent stock prices (both individual and composite) as a stochastic phenomenon using general techniques and methods of nonequilibrium statistical mechanics. In particular, we analyze stock price…

Physics and Society · Physics 2008-12-02 M. Constantin , S. Das Sarma

We propose a doubly subordinated Levy process, NDIG, to model the time series properties of the cryptocurrency bitcoin. NDIG captures the skew and fat-tailed properties of bitcoin prices and gives rise to an arbitrage free, option pricing…

Statistical Finance · Quantitative Finance 2023-08-31 Abootaleb Shirvani , Stefan Mittnik , W. Brent Lindquist , Svetlozar T. Rachev

Cryptocurrency, the most controversial and simultaneously the most interesting asset, has attracted many investors and speculators in recent years. The visibly significant market capitalization of cryptos also motivates modern financial…

Risk Management · Quantitative Finance 2021-12-10 Junjie Hu , Wolfgang Karl Härdle , Weiyu Kuo

The scaling properties of oil price fluctuations are described as a non-stationary stochastic process realized by a time series of finite length. An original model is used to extract the scaling exponent of the fluctuation functions within…

Statistical Finance · Quantitative Finance 2008-12-02 M. Momeni , I. Kourakis , K. Talebi

Recent empirical evidence has highlighted the crucial role of jumps in both price and volatility within the cryptocurrency market. In this paper, we integrate price--volatility co-jumps and volatility short-term dependency into a coherent…

Pricing of Securities · Quantitative Finance 2025-06-17 Boyi Li , Weixuan Xia

This study examines the effects of Trump-era tariffs on financial market efficiency by applying multifractal detrended fluctuation analysis to the return and absolute return time series of six major financial assets: the S\&P 500, SSEC,…

Statistical Finance · Quantitative Finance 2026-02-03 Tetsuya Takaishi
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