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We study asymptotic behaviour of stochastic approximation procedures with three main characteristics: truncations with random moving bounds, a matrix valued random step-size sequence, and a dynamically changing random regression function.…

统计理论 · 数学 2016-11-22 Teo Sharia , Lei Zhong

In the study of complex networks (systems), the scaling phenomenon of flow fluctuations refers to a certain power-law between the mean flux (activity) $<F_i>$ of the $i$th node and its variance $\sigma_i$ as $\sigma_i \propto < F_{i} >…

数据分析、统计与概率 · 物理学 2009-05-08 Yudong Chen , Li Li , Yi Zhang , Jianming Hu

This paper presents a methodological approach to financial time series analysis by combining causal discovery and uncertainty-aware forecasting. As a case study, we focus on four key U.S. macroeconomic indicators -- GDP, economic growth,…

机器学习 · 计算机科学 2025-10-27 Federico Cerutti

We report a general technique to study a given experimental time series with superstatistics. Crucial for the applicability of the superstatistics concept is the existence of a parameter $\beta$ that fluctuates on a large time scale as…

数据分析、统计与概率 · 物理学 2015-05-13 Erik Van der Straeten , Christian Beck

We study the nature of fluctuations in variety of price indices involving companies listed on the New York Stock Exchange. The fluctuations at multiple scales are extracted through the use of wavelets belonging to Daubechies basis. The fact…

统计金融 · 定量金融 2013-03-26 Prasanta K. Panigrahi , Sayantan Ghosh , Arjun Banerjee , Jainendra Bahadur , P. Manimaran

Basic peculiarities of market price fluctuations are known to be well described by a recently developed random walk model in a temporally deforming quadric potential force whose center is given by a moving average of past price traces…

统计金融 · 定量金融 2013-05-29 Kota Watanabe , Hideki Takayasu , Misako Takayasu

The research paper addresses linear decomposition of time series of non-additive metrics that allows for the identification and interpretation of contributing factors (input features) of variance. Non-additive metrics, such as ratios, are…

机器学习 · 计算机科学 2022-04-15 Alex Glushkovsky

This work introduces a new framework for modeling financial markets through an interpretable probabilistic state machine. By clustering historical returns based on momentum and risk features across multiple time horizons, we identify…

计算工程、金融与科学 · 计算机科学 2025-10-02 Christian Oliva , Silviu Gabriel Tinjala

As semiconductor devices continue to scale down, process vari- ations become more relevant for circuit design. Facing such variations, statistical static timing analysis is introduced to model variations more accurately so that the…

硬件体系结构 · 计算机科学 2017-05-16 Bing Li , Ning Chen , Ulf Schlichtmann

We propose a novel approximate factor model tailored for analyzing time-dependent curve data. Our model decomposes such data into two distinct components: a low-dimensional predictable factor component and an unpredictable error term. These…

计量经济学 · 经济学 2025-02-26 Sven Otto , Nazarii Salish

We propose experimentally feasible ways to probe universal features of absorbing phase transitions from two different approaches, both based on numerical validations. On one hand, we numerically study a probability distribution of…

统计力学 · 物理学 2018-12-20 Keiichi Tamai , Masaki Sano

Fluctuations of observables as functions of time, or "fluctuation patterns", are studied in a chaotic microscopically reversible system that has irreversibly reached a nonequilibrium stationary state. Supposing that during a certain, long…

chao-dyn · 物理学 2008-10-08 G. Gallavotti

We build a simple diagnostic criterion for approximate factor structure in large cross-sectional equity datasets. Given a model for asset returns with observable factors, the criterion checks whether the error terms are weakly…

统计金融 · 定量金融 2017-08-08 Patrick Gagliardini , Elisa Ossola , Olivier Scaillet

We introduce a class of semiparametric time series models by assuming a quasi-likelihood approach driven by a latent factor process. More specifically, given the latent process, we only specify the conditional mean and variance of the time…

统计方法学 · 统计学 2021-04-02 Gisele O. Maia , Wagner Barreto-Souza , Fernando S. Bastos , Hernando Ombao

Biochemical reactions are fundamentally noisy at a molecular scale. This limits the precision of reaction networks, but also allows fluctuation measurements which may reveal the structure and dynamics of the underlying biochemical network.…

生物物理 · 物理学 2018-04-11 Harmen Wierenga , Pieter Rein ten Wolde , Nils B. Becker

Dynamics of complex systems is studied by first considering a chaotic time series generated by Lorenz equations and adding noise to it. The trend (smooth behavior) is separated from fluctuations at different scales using wavelet analysis…

混沌动力学 · 物理学 2009-11-11 Dilip P. Ahalpara , Jitendra C. Parikh

For assessing in real time the short-term trend of major economic indicators, official statistical agencies generally rely on asymmetric filters that were developed by Musgrave in 1964. However, the use of the latter introduces revisions as…

应用统计 · 统计学 2015-11-18 Estela Bee Dagum , Silvia Bianconcini

The growth of business firms is an example of a system of complex interacting units that resembles complex interacting systems in nature such as earthquakes. Remarkably, work in econophysics has provided evidence that the statistical…

统计金融 · 定量金融 2019-01-30 Nathan C. Frey , Sakib Matin , H. Eugene Stanley , Michael Salinger

Probabilistic forecasting of multivariate time series is essential for various downstream tasks. Most existing approaches rely on the sequences being uniformly spaced and aligned across all variables. However, real-world multivariate time…

机器学习 · 计算机科学 2025-02-18 Yijun Li , Cheuk Hang Leung , Qi Wu

In this study, the fluctuation-dissipation theory is invoked to shed light on input-output interindustrial relations at a macroscopic level by its application to IIP (indices of industrial production) data for Japan. Statistical noise…

综合金融 · 定量金融 2010-11-08 Hiroshi Iyetomi , Yasuhiro Nakayama , Hideaki Aoyama , Yoshi Fujiwara , Yuichi Ikeda , Wataru Souma