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This paper describes the dependence of market-based statistical moments of returns on statistical moments and correlations of the current and past trade values. We use Markowitz's definition of value weighted return of a portfolio as the…

综合经济学 · 经济学 2026-02-17 Victor Olkhov

By studying all the trades and best bids/asks of ultra high frequency snapshots recorded from the order books of a basket of 10 futures assets, we bring qualitative empirical evidence that the impact of a single trade depends on the…

交易与市场微观结构 · 定量金融 2010-10-28 Khalil al Dayri , Emmanuel Bacry , Jean-Francois Muzy

In stochastic finance, one traditionally considers the return as a competitive measure of an asset, {\it i.e.}, the profit generated by that asset after some fixed time span $\Delta t$, say one week or one year. This measures how well (or…

统计力学 · 物理学 2008-12-02 Ingve Simonsen , Mogens H. Jensen , Anders Johansen

Market timing is an investment technique that tries to continuously switch investment into assets forecast to have better returns. What is the likelihood of having a successful market timing strategy? With an emphasis on modeling…

投资组合管理 · 定量金融 2018-07-20 Guy Metcalfe

A theory which describes the share price evolution at financial markets as a continuous-time random walk has been generalized in order to take into account the dependence of waiting times t on price returns x. A joint probability density…

统计力学 · 物理学 2015-06-24 Przemyslaw Repetowicz , Peter Richmond

We prove that Student's t-distribution provides one of the better fits to returns of S&P component stocks and the generalized inverse gamma distribution best fits VIX and VXO volatility data. We further argue that a more accurate measure of…

统计金融 · 定量金融 2015-06-16 Tao Ma , R. A. Serota

This paper explores the theory behind the rich and robust family of {\alpha}-stable distributions to estimate parameters from financial asset log-returns data. We discuss four-parameter estimation methods including the quantiles,…

经济学 · 定量金融 2017-06-30 Michael Kateregga , Sure Mataramvura , David Taylor

Accurately forecasting the price of oil, the world's most actively traded commodity, is of great importance to both academics and practitioners. We contribute by proposing a functional time series based method to model and forecast oil…

应用统计 · 统计学 2019-01-09 Fearghal Kearney , Han Lin Shang

An analysis of the stylized facts in financial time series is carried out. We find that, instead of the heavy tails in asset return distributions, the slow decay behaviour in autocorrelation functions of absolute returns is actually…

统计金融 · 定量金融 2015-03-13 Jie-Jun Tseng , Sai-Ping Li

The thesis is composed of three parts. Part I introduces the mathematical and statistical tools that are relevant for the study of dependences, as well as statistical tests of Goodness-of-fit for empirical probability distributions. I…

统计金融 · 定量金融 2013-09-20 Rémy Chicheportiche

In this paper we propose a new stochastic model based on a generalization of semi-Markov chains to study the high frequency price dynamics of traded stocks. We assume that the financial returns are described by a weighted indexed…

统计金融 · 定量金融 2015-06-05 Guglielmo D'Amico , Filippo Petroni

We develop a framework especially suited to the autocorrelation properties observed in financial times series, by borrowing from the physical picture of turbulence. The success of our approach as applied to high frequency foreign exchange…

统计力学 · 物理学 2015-06-25 B. Holdom

Using frequency distributions of daily closing price time series of several financial market indexes, we investigate whether the bias away from an equiprobable sequence distribution found in the data, predicted by algorithmic information…

交易与市场微观结构 · 定量金融 2010-08-17 Hector Zenil , Jean-Paul Delahaye

High frequency data in finance have led to a deeper understanding on probability distributions of market prices. Several facts seem to be well stablished by empirical evidence. Specifically, probability distributions have the following…

统计力学 · 物理学 2009-10-31 Jaume Masoliver , Miquel Montero , Josep M. Porra

For the pedestrian observer, financial markets look completely random with erratic and uncontrollable behavior. To a large extend, this is correct. At first approximation the difference between real price changes and the random walk model…

统计金融 · 定量金融 2011-08-22 Laurent Schoeffel

A phenomenon of the financial log-periodicity is discussed and the characteristics that amplify its predictive potential are elaborated. The principal one is self-similarity that obeys across all the time scales. Furthermore the same…

物理与社会 · 物理学 2008-12-02 S. Drozdz , F. Gruemmer , F. Ruf , J. Speth

Is it a good idea to use the frequency of events in the past, as a guide to their frequency in the future (as we all do anyway)? In this paper the question is attacked from the perspective of universal prediction of individual sequences. It…

信息论 · 计算机科学 2013-01-29 Yuval Lomnitz , Meir Feder

In the present work we demonstrate the application of different physical methods to high-frequency or tick-by-tick financial time series data. In particular, we calculate the Hurst exponent and inverse statistics for the price time series…

交易与市场微观结构 · 定量金融 2009-11-13 M. Bartolozzi , C. Mellen , F. Chan , D. Oliver , T. Di Matteo , T. Aste

One of the most important studies in finance is to find out whether stock returns could be predicted. This research aims to create a new multivariate model, which includes dividend yield, earnings-to-price ratio, book-to-market ratio as…

计量经济学 · 经济学 2021-10-06 Jianying Xie

We study the probability distribution of stock returns at mesoscopic time lags (return horizons) ranging from about an hour to about a month. While at shorter microscopic time lags the distribution has power-law tails, for mesoscopic times…

统计力学 · 物理学 2008-12-02 A. Christian Silva , Richard E. Prange , Victor M. Yakovenko