A new measure between sets of probability distributions with applications to erratic financial behavior
@article{James2021ANM, title={A new measure between sets of probability distributions with applications to erratic financial behavior}, author={Nick James and Max Menzies}, journal={Journal of Statistical Mechanics: Theory and Experiment}, year={2021}, volume={2021} }
This paper introduces a new framework to quantify distance between finite sets with uncertainty present, where probability distributions determine the locations of individual elements. Combining this with a Bayesian change point detection algorithm, we produce a new measure of similarity between time series with respect to their structural breaks. First, we demonstrate the algorithm’s effectiveness on a collection of piecewise autoregressive processes. Next, we apply this to financial data to…
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References
SHOWING 1-10 OF 87 REFERENCES
Clustering of financial time series with application to index and enhanced index tracking portfolio
- Computer Science
- 2005
Temporal evolution of financial-market correlations.
- EconomicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2011
There was an increase in the strength of the relationships between several different markets following the 2007-2008 credit and liquidity crisis, and this work shows the assets that were significantly affected by these changes.
Sequential monitoring of a Bernoulli sequence when the pre-change parameter is unknown
- Mathematics, Computer ScienceComput. Stat.
- 2013
A novel change detection method based on Fisher’s exact test is developed which can be implemented in a computationally efficient manner, and is hence suited to sequential monitoring where new observations are constantly being received over time.
Sequential change detection in the presence of unknown parameters
- Mathematics, Computer ScienceStat. Comput.
- 2014
This work proposes an improved procedure which is more efficient, in the sense of detecting changes faster, in all situations, and shows that similar issues arise in other parametric change detection contexts, which is illustrated by introducing a novel monitoring procedure for sequences of Exponentially distributed random variable.
Identifying States of a Financial Market
- EconomicsScientific reports
- 2012
A definition of state is proposed for a financial market and it is found that a wide variety of characteristic correlation structure patterns exist in the observation time window, and that they can be classified into several typical “market states”.
Two Nonparametric Control Charts for Detecting Arbitrary Distribution Changes
- Business
- 2012
This work presents two distribution-free charts that can detect arbitrary changes to the process distribution during Phase II monitoring, formed by integrating the omnibus Kolmogorov–Smirnov and Cramer—von-Mises tests into the widely researched change-point model framework.
Noise Dressing of Financial Correlation Matrices
- Economics
- 1999
We show that results from the theory of random matrices are potentially of great interest to understand the statistical structure of the empirical correlation matrices appearing in the study of price…