1. A Truncated Mixture Transition Model for Interval-Valued Time Series.
- Author
-
Luo, Yun and González-Rivera, Gloria
- Subjects
RATE of return on stocks ,EXPECTATION-maximization algorithms ,GAUSSIAN distribution ,TIME series analysis ,HETEROSCEDASTICITY - Abstract
We propose a model for interval-valued time series that specifies the conditional joint distribution of the upper and lower bounds as a mixture of truncated bivariate normal distributions. It preserves the interval natural order and provides great flexibility on capturing potential conditional heteroscedasticity and non-Gaussian features. The standard expectation maximization (EM) algorithm applied to truncated mixtures does not provide a closed-form solution in the M step. A new EM algorithm solves this problem. The model applied to the interval-valued IBM daily stock returns exhibits superior performance over competing models in-sample and out-of-sample evaluation. A trading strategy showcases the usefulness of our approach. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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