[TOC]
multivariate approach OU approach
- normalize return
$p=\frac{p-E [p] }{ \sigma }$ - how to find the pairs?
OLS and find the min squared error.
max correlation of two normalized time series. - trading signal
when the absolute distance is larger than threshold, long the lower price one and short the higher price one. - problem
maybe only one is badly priced. there is no mechanism to prevent buying badly priced stocks.
- idea is if we find multivariate relations, it is less likely we buy a badly priced stock.