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In this research the technology of complex Markov chains is applied to predict financial time series. The main distinction of complex or high-order Markov Chains and simple first-order ones is the existing of aftereffect or memory. The…

统计金融 · 定量金融 2011-11-23 Vladimir Soloviev , Vladimir Saptsin , Dmitry Chabanenko

We investigated distributions of short term price trends for high frequency stock market data. A number of trends as a function of their lengths was measured. We found that such a distribution does not fit to results following from an…

物理与社会 · 物理学 2009-11-13 Paweł Sieczka , Janusz A. Hołyst

We address the challenges of modeling high-frequency integer price changes in financial markets using continuous distributions, particularly the Student's t-distribution. We demonstrate that traditional GARCH models, which rely on…

统计金融 · 定量金融 2025-10-14 Vladimír Holý

In this work the asymptotic properties of $Q_t(N)$ ,the probability of the number of renewals ($N$), that occur during time $t$ are explored. While the forms of the distribution at very long times, i.e. $t\to\infty$, are very well known and…

统计力学 · 物理学 2020-07-02 Stanislav Burov

This paper illustrates a procedure for fitting financial data with $\alpha$-stable distributions. After using all the available methods to evaluate the distribution parameters, one can qualitatively select the best estimate and run some…

数据分析、统计与概率 · 物理学 2008-12-02 Enrico Scalas , Kyungsik Kim

Time series momentum strategies are widely applied in the quantitative financial industry and its academic research has grown rapidly since the work of Moskowitz, Ooi and Pedersen (2012). However, trading signals are usually obtained via…

统计金融 · 定量金融 2021-11-09 Bruno P. C. Levy , Hedibert F. Lopes

Forecasting stock returns is a challenging problem due to the highly stochastic nature of the market and the vast array of factors and events that can influence trading volume and prices. Nevertheless it has proven to be an attractive…

统计金融 · 定量金融 2021-09-15 Rian Dolphin , Barry Smyth , Yang Xu , Ruihai Dong

In this paper, we introduce quantile coherency to measure general dependence structures emerging in the joint distribution in the frequency domain and argue that this type of dependence is natural for economic time series but remains…

统计理论 · 数学 2018-12-31 Jozef Baruník , Tobias Kley

Investigations of inverse statistics (a concept borrowed from turbulence) in stock markets, exemplified with filtered Dow Jones Industrial Average, S&P 500, and NASDAQ, have uncovered a novel stylized fact that the distribution of exit time…

其他凝聚态物理 · 物理学 2008-12-02 Wei-Xing Zhou , Wei-Kang Yuan

Recent advances in time series, where deterministic and stochastic modelings as well as the storage and analysis of big data are useless, permit a new approach to short-term traffic flow forecasting and to its reliability, i.e., to the…

应用统计 · 统计学 2016-02-29 Hassane Abouaïssa , Michel Fliess , Cédric Join

The shape and tails of partial distribution functions (PDF) for a financial signal, i.e. the S&P500 and the turbulent nature of the markets are linked through a model encompassing Tsallis nonextensive statistics and leading to evolution…

凝聚态物理 · 物理学 2009-11-10 Marcel Ausloos , Kristinka Ivanova

Pyrosequencing is one of the important next-generation sequencing technologies. We derive the distribution of the number of positive signals in pyrograms of this sequencing technology as a function of flow cycle numbers and nucleotide…

基因组学 · 定量生物学 2024-05-28 Yong Kong

We study decades-long historic distributions of accumulated S\&P500 returns, from daily returns to those over several weeks. The time series of the returns emphasize major upheavals in the markets -- Black Monday, Tech Bubble, Financial…

统计金融 · 定量金融 2025-12-30 Hamed Farahani , R. A. Serota

Time reversal invariance can be summarized as follows: no difference can be measured if a sequence of events is run forward or backward in time. Because price time series are dominated by a randomness that hides possible structures and…

统计金融 · 定量金融 2008-12-02 Gilles Zumbach

We propose a novel machine learning approach for forecasting the distribution of stock returns using a rich set of firm-level and market predictors. Our method combines a two-stage quantile neural network with spline interpolation to…

综合金融 · 定量金融 2025-08-05 Jozef Barunik , Martin Hronec , Ondrej Tobek

Estimating the probability distribution 'q' governing the behaviour of a certain variable by sampling its value a finite number of times most typically involves an error. Successive measurements allow the construction of a histogram, or…

统计力学 · 物理学 2009-11-07 Ines Samengo

In the present work we investigate the multiscale nature of the correlations for high frequency data (1 minute) in different futures markets over a period of two years, starting on the 1st of January 2003 and ending on the 31st of December…

统计金融 · 定量金融 2009-11-13 M. Bartolozzi , C. Mellen , T. Di Matteo , T. Aste

A simple quantum model explains the Levy-unstable distributions for individual stock returns observed by ref.[1]. The probability density function of the returns is written as the squared modulus of an amplitude. For short time intervals…

物理与社会 · 物理学 2008-12-02 Martin Schaden

Fund allocation has been an increasingly important problem in the financial domain. In reality, we aim to allocate the funds to buy certain assets within a certain future period. Naive solutions such as prediction-only or…

机器学习 · 计算机科学 2025-07-18 Fuyuan Lyu , Linfeng Du , Yunpeng Weng , Qiufang Ying , Zhiyan Xu , Wen Zou , Haolun Wu , Xiuqiang He , Xing Tang

We study the dependence of volatility on the stock price in the stochastic volatility framework on the example of the Heston model. To be more specific, we consider the conditional expectation of variance (square of volatility) under fixed…

证券定价 · 定量金融 2011-07-29 Mikhail Martynov , Olga Rozanova