Title
Taking Time Seriously: Hidden Markov Experts Applied To Financial Engineering
Abstract
Most traditional time series models are global models based on local time information: they assume that the state can be fully and locally (in time) characterized with a finite embedding space. Prediction then amounts to simple regression. Unfortunately, there are many situations in which simple regression is not sufficient to model the temporal structure in a time series. We here introduce an architecture that we call Hidden Markov Experts. It is based on Hidden Markov Models used in speech recognition research. By introducing the concept of hidden states, Hidden Markov experts model time dependency of time series explicitly as a first-order Markov model with transitions between these hidden states. Within each state, local models are applied to estimate the probability density, which can be linear or nonlinear depending on the situation. This paper first discusses the statistical framework and the learning algorithm of Hidden Markov experts, then applies them to daily S&P500 data and to high frequency currency exchange rate data. The Ridden Markov Experts have better profit than the linear and nonlinear global models. The volatilities of the time series can be characterized by the hidden states.
Year
DOI
Venue
1997
10.1109/CIFER.1997.618944
PROCEEDINGS OF THE IEEE/IAFE 1997 COMPUTATIONAL INTELLIGENCE FOR FINANCIAL ENGINEERING (CIFER)
Keywords
Field
DocType
regime switching, density prediction, EM algorithm, risk estimation, decision technologies, high frequency data
Maximum-entropy Markov model,Forward algorithm,Markov property,Markov model,Computer science,Markov chain,Artificial intelligence,Variable-order Markov model,Hidden Markov model,Machine learning,Hidden semi-Markov model
Conference
Citations 
PageRank 
References 
11
1.36
3
Authors
2
Name
Order
Citations
PageRank
Shanming Shi1111.36
Andreas S. Weigend2576112.30