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This paper explores a time-varying version of weak-form market efficiency that is a key component of the so-called Adaptive Market Hypothesis (AMH). One of the most common methodologies used for modeling and estimating a degree of market…

Optimization and Control · Mathematics 2023-10-09 Maria Kulikova , Gennady Kulikov

In this paper, we revisit the Kalman filter theory. After giving the intuition on a simplified financial markets example, we revisit the maths underlying it. We then show that Kalman filter can be presented in a very different fashion using…

Statistical Finance · Quantitative Finance 2018-12-14 Eric Benhamou

This paper investigates a time-varying version of weak-form market efficiency in the BRICS countries. A moving window test for sample autocorrelations is applied alongside a Kalman filter approach to recover the hidden dynamics of the…

Optimization and Control · Mathematics 2024-03-11 Maria V. Kulikova , David R. Taylor , Gennady Yu. Kulikov

Predicting intraday trading volume plays an important role in trading alpha research. Existing methods such as rolling means(RM) and a two-states based Kalman Filtering method have been presented in this topic. We extend two states into…

Statistical Finance · Quantitative Finance 2021-07-19 Shaojun Ma , Pengcheng Li

In this work, we apply machine learning techniques to historical stock prices to forecast future prices. To achieve this, we use recursive approaches that are appropriate for handling time series data. In particular, we apply a linear…

Statistical Finance · Quantitative Finance 2022-02-08 Ogulcan E. Orsel , Sasha S. Yamada

We combine high-dimensional factor models with fractional integration methods and derive models where nonstationary, potentially cointegrated data of different persistence is modelled as a function of common fractionally integrated factors.…

Econometrics · Economics 2020-05-12 Tobias Hartl

Most empirical microstructure research assumes that order flow--return parameters are constant, yet these relationships shift substantially across market regimes. Combining adaptive Kalman filtering, Markov-switching regime identification,…

Computational Finance · Quantitative Finance 2026-02-26 Sungwoo Kang

The Efficient Market Hypothesis has been a staple of economics research for decades. In particular, weak-form market efficiency -- the notion that past prices cannot predict future performance -- is strongly supported by econometric…

Statistical Finance · Quantitative Finance 2019-09-12 Samuel Showalter , Jeffrey Gropp

Kalman filtering is a classic state estimation technique used in application areas such as signal processing and autonomous control of vehicles. It is now being used to solve problems in computer systems such as controlling the voltage and…

Systems and Control · Electrical Eng. & Systems 2019-07-01 Yan Pei , Swarnendu Biswas , Donald S. Fussell , Keshav Pingali

A recursive free cash flow model (FCFF) is proposed to determine the corporate value of a company in an efficient market in which new market and company-specific information is modelled by additive white noise. The stochastic equations of…

Computational Finance · Quantitative Finance 2020-05-21 Rene Scheurwater

This study investigates the efficiency of some select stock markets. Using an improved wavelet estimator of long range dependence, we show evidence of long memory in the stock returns of some emerging Asian economies. However, developed…

Statistical Finance · Quantitative Finance 2020-04-21 Avishek Bhandari , Bandi Kamaiah

Summarized by the efficient market hypothesis, the idea that stock prices fully reflect all available information is always confronted with the behavior of real-world markets. While there is plenty of evidence indicating and quantifying the…

Physics and Society · Physics 2020-12-16 Luiz G. A. Alves , Higor Y. D. Sigaki , Matjaz Perc , Haroldo V. Ribeiro

The intricate dynamics of stock markets have led to extensive research on models that are able to effectively explain their inherent complexities. This study leverages the econometrics literature to explore the dynamic factor model as an…

Statistical Finance · Quantitative Finance 2026-01-09 Brian Godwin Lim , Dominic Dayta , Benedict Ryan Tiu , Renzo Roel Tan , Len Patrick Dominic Garces , Kazushi Ikeda

Kalman filter is widely used for residual generation in fault detection. It leads to optimality in fault detection using some performance indices and also leads to statistically sound residual evaluation and threshold setting. This paper…

Systems and Control · Electrical Eng. & Systems 2023-12-14 Jinming Zhou , Yucai Zhu

In this project, we propose to explore the Kalman filter's performance for estimating asset prices. We begin by introducing a stochastic mean-reverting processes, the Ornstein-Uhlenbeck (OU) model. After this we discuss the Kalman filter in…

Statistical Finance · Quantitative Finance 2024-07-10 Michael Sekatchev , Zhengxiang Zhou

The well-known Kalman filters model dynamical systems by relying on state-space representations with the next state updated, and its uncertainty controlled, by fresh information associated with newly observed system outputs. This paper…

Machine Learning · Computer Science 2023-06-21 Cesare Alippi , Daniele Zambon

We consider the nonlinear Kalman filtering problem using Kullback-Leibler (KL) and $\alpha$-divergence measures as optimization criteria. Unlike linear Kalman filters, nonlinear Kalman filters do not have closed form Gaussian posteriors…

Optimization and Control · Mathematics 2017-11-22 San Gultekin , John Paisley

This work introduces an algorithm for state estimation on manifolds within the framework of the Kalman filter. Its primary objective is to provide a methodology enabling the evaluation of the precision of existing Kalman filter variants…

Systems and Control · Electrical Eng. & Systems 2025-09-24 Svyatoslav Covanov , Cedric Pradalier

In this paper we study optimal trading strategies in a financial market in which stock returns depend on a hidden Gaussian mean reverting drift process. Investors obtain information on that drift by observing stock returns. Moreover, expert…

Portfolio Management · Quantitative Finance 2024-07-01 Abdelali Gabih , Hakam Kondakji , Ralf Wunderlich

In an age of exponentially increasing data generation, performing inference tasks by utilizing the available information in its entirety is not always an affordable option. The present paper puts forth approaches to render tracking of…

Applications · Statistics 2017-06-07 Dimitris Berberidis , Georgios B. Giannakis
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